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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1108077</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2023.1108077</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Dislocation-driven growth of WS<sub>2</sub>/WSe<sub>2</sub> quantum well superlattices</article-title>
<alt-title alt-title-type="left-running-head">Yang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmats.2023.1108077">10.3389/fmats.2023.1108077</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Hang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zeng</surname>
<given-names>Li</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2160772/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Ziwei</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Tian</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Shunhui</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Xuyang</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ao</surname>
<given-names>Zhikang</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lan</surname>
<given-names>Xiang</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Baihui</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2114486/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Beijing Blue Sky Innovation for Frontier Science</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Science</institution>, <institution>National University of Defense Technology</institution>, <addr-line>Changsha</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Materials Engineering</institution>, <institution>The University of British Columbia</institution>, <addr-line>Vancouver</addr-line>, <addr-line>BC</addr-line>, <country>Canada</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Hunan Provincial Key Laboratory of Two-Dimensional Materials</institution>, <institution>State Key Laboratory for Chemo/Biosensing and Chemometrics</institution>, <institution>College of Chemistry and Chemical Engineering</institution>, <institution>Hunan University</institution>, <addr-line>Changsha</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>College of Materials Science and Engineering</institution>, <institution>Hunan University</institution>, <addr-line>Changsha</addr-line>, <country>China</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>College of Physics and Electronics</institution>, <institution>Central South University</institution>, <addr-line>Changsha</addr-line>, <country>China</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>College of Energy and Power Engineering</institution>, <institution>Changsha University of Science and Technology</institution>, <addr-line>Changsha</addr-line>, <country>China</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>School of Physical and Mathematical Sciences</institution>, <institution>Nanjing Tech University</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1105680/overview">Enbo Zhu</ext-link>, University of California, Los Angeles, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2121120/overview">Du Xiang</ext-link>, Fudan University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2173725/overview">Yingqiu Zhou</ext-link>, Technical University of Denmark, Denmark</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1763959/overview">Huifang Ma</ext-link>, Nanjing Tech University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2175767/overview">Bosi Peng</ext-link>, University of California, Los Angeles, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Baihui Zhang, <email>bhzhang@csu.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Semiconducting Materials and Devices, a section of the journal Frontiers in Materials</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>02</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1108077</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Yang, Zeng, Huang, Zhang, Zhang, Zhang, Ao, Lan and Zhang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Yang, Zeng, Huang, Zhang, Zhang, Zhang, Ao, Lan and Zhang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The synthesis of two-dimensional lateral heterojunctions with nanoscale characteristic width and sharp interfaces remains challenging. The quantum confinement effects are still difficult to create on 2D materials since widths smaller than 5&#xa0;nm are necessary for quantum confinement effects and quantum well applications. In this study, we demonstrated the growth of a sub-2-nm tungsten sulfide quantum well array in a monolayer of tungsten selenide, driven by the climb of mismatch dislocation in a heterointerface due to the lattice mismatch. Width-controllable 2D quantum well superlattices are theoretically formed by the mismatch dislocation-driven growth mechanism, according to our analysis. Thus, abundant photonic electronic properties can be obtained in 2D quantum well superlattices formed at varied lateral heterointerfaces, which will support the study of topological insulators and superconductors.</p>
</abstract>
<kwd-group>
<kwd>chemical vapor deposition (CVD)</kwd>
<kwd>lateral epitaxial growth</kwd>
<kwd>monolayer WSe<sub>2</sub>
</kwd>
<kwd>2D quantum well superlattices</kwd>
<kwd>misfit dislocation-driven growth</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Two-dimensional (2D) lateral heterojunctions and superlattices with a series of novel properties have been generated and reported recently (<xref ref-type="bibr" rid="B4">Geim and Grigorieva, 2013</xref>; <xref ref-type="bibr" rid="B12">Liu et al., 2014</xref>; <xref ref-type="bibr" rid="B5">Gong et al., 2015</xref>; <xref ref-type="bibr" rid="B11">Li et al., 2015</xref>; <xref ref-type="bibr" rid="B18">Zhang et al., 2017</xref>; <xref ref-type="bibr" rid="B2">Chen et al., 2018</xref>; <xref ref-type="bibr" rid="B13">Liu et al., 2019</xref>; <xref ref-type="bibr" rid="B16">Shi et al., 2020</xref>; <xref ref-type="bibr" rid="B17">Zhang et al., 2021</xref>). Available growth methods produce featured widths in the scale of hundreds of nanometers or, at best, at micrometer scale and commonly result in rough and defective interfaces with extensive chemical intermixing (<xref ref-type="bibr" rid="B11">Li et al., 2015</xref>; <xref ref-type="bibr" rid="B14">Liu et al., 2015</xref>; <xref ref-type="bibr" rid="B18">Zhang et al., 2017</xref>; <xref ref-type="bibr" rid="B16">Shi et al., 2020</xref>). Quantum wells in conventional semiconductors with their unique electronic structure and quantum confinement have important applications in quantum cascade lasers, solar cells, high-electron mobility transistors, and infrared photodetectors (<xref ref-type="bibr" rid="B3">Faist et al., 1994</xref>; <xref ref-type="bibr" rid="B6">Gudiksen et al., 2002</xref>). In a 2D system, quantum well structures may be best generated by laterally sandwiching a nanoscale strip of a 2D semiconductor between two strips of another 2D semiconductor with a different band gap. It is theoretically necessary to control the width of the 2D quantum well comparable to the de Broglie wavelength of the carrier (the sub-10-nm regime and, ideally, less than 5&#xa0;nm) so that quantum size effects occur. However, available growth methods only produce features with widths in the micrometer or, at best, 100&#xa0;nm scale. Therefore, implementing quantum confinement effects in 2D systems remains challenging. In recent years, several studies have reported observations of quantum wells in 2D systems. <xref ref-type="bibr" rid="B7">Han et al. (2018</xref>) and <xref ref-type="bibr" rid="B20">Zhu et al. (2020</xref>) reported the fabrication methods of one-dimensional MoS<sub>2</sub> quantum channels in WSe<sub>2</sub>-MoS<sub>2</sub> and MoSe<sub>2</sub>-MoS<sub>2</sub> hetero-systems, respectively.</p>
<p>Here, we report the growth of high-quality sub-2-nm-wide quantum wells within semiconductor monolayers, making use of the lattice mismatch between two semiconducting materials in the 2D lateral heterojunctions. The growth was controlled by individual misfit dislocations formed at the lateral heterointerface between a WSe<sub>2</sub> and a WS<sub>2</sub>. Atomic resolution scanning transmission electron microscopy (STEM) images revealed that these tungsten sulfide quantum wells were less than 2&#xa0;nm in width and formed fully coherent lateral interfaces with the tungsten selenium monolayer matrix without extended defects.</p>
<p>These results showed that the insertion of metal and S atoms into the dislocation cores induced dislocation climb, with concomitant selective substitution of Se atoms around the dislocation core by S atoms. The substitution process, driven by the local strain field, led to the growth of WS<sub>2</sub> quantum well arrays laterally sandwiched in the WSe<sub>2</sub> monolayers.</p>
<p>Theoretically, the mismatch dislocation at the interface needed to be formed in intervals to release strain. Repetition of the misfit dislocation-driven growth mechanism formed parallel WS<sub>2</sub> quantum wells, and these parallel 2D narrow nano-bands were quantum well superlattices. Considering the large variety of 2D materials, 2D quantum well superlattices in varied lateral heterojunctions will display diverse photonic electronic properties; therefore, controllable width 2D quantum well superlattices are expected to be fabricated.</p>
</sec>
<sec id="s2">
<title>2 Experimental details</title>
<sec id="s2-1">
<title>2.1 Growth of monolayer WSe<sub>2</sub>
</title>
<p>A quartz boat loaded with WSe<sub>2</sub> powder (&#x223c;1&#xa0;g) was located at the center heating zone of the furnace, as shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>, and a clean silica (&#x223c;300&#xa0;nm)/Si substrate was located at the terminal of the furnace as the growth substrate. The horizontal distance between the powder and the silicon wafer was kept between 11 and 15&#xa0;cm. During the process of temperature increase, the growth substrate was placed upstream of the source, and the airflow was set to 300 sccm (along the &#x201c;step 1&#x201d; arrow in <xref ref-type="fig" rid="F1">Figure 1A</xref>) for 15&#xa0;min to remove the undesired oxygen and water from the tube. The Ar airflow was then kept at 50 sccm. When the central heating zone reached the target temperature of 1150&#xb0;C, the 50 sccm airflow with the transferred direction (along the &#x201c;step 2&#x201d; arrow in <xref ref-type="fig" rid="F1">Figure 1A</xref>) ensured the growth substrate was located downstream of the source and then maintained for 10&#xa0;min for growth. Next, the airflow direction was reversed (along the &#x201c;step 1&#x201d; arrow in <xref ref-type="fig" rid="F1">Figure 1A</xref>) to stop the growth process and allow it to naturally cool down to room temperature. The entire process occurred under ambient pressure in an argon atmosphere.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>CVD synthesis strategy for monolayer WSe<sub>2</sub> growth and WS<sub>2</sub> epitaxial growth. <bold>(A)</bold> Diagrammatic sketch of the single supply source CVD growth method with controllable airflow directions. <bold>(B)</bold> Diagrammatic sketch of the WSe<sub>2</sub>/WS<sub>2</sub> 2D quantum well superlattice synthesis strategy. <bold>(C)</bold> Optical image of the WSe<sub>2</sub>/WS<sub>2</sub> lateral heterojunction using the reverse airflow method; scale bar is 10&#xa0;&#x3bc;m. <bold>(D)</bold> Raman spectra corresponding to the three points marked in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
</caption>
<graphic xlink:href="fmats-10-1108077-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Growth of WSe<sub>2</sub>/WS<sub>2</sub> 2D quantum well superlattices</title>
<p>To obtain the WSe<sub>2</sub>/WS<sub>2</sub> 2D quantum well, the monolayer WSe<sub>2</sub> was chosen as a seed to further the epitaxial growth of the monolayer WS<sub>2</sub>. At the same time, quantum wells started forming at the interfaces of WSe<sub>2</sub>/WS<sub>2</sub> lateral heterojunctions. For the epitaxial growth of WS<sub>2</sub>, the WS<sub>2</sub> powder and prepared monolayer WSe<sub>2</sub> (substituted for clean substrate and WSe<sub>2</sub> powder) were placed at the same position in another specified CVD system similar to the system used for WSe<sub>2</sub> growth. Likewise, during the period of temperature increase, the growth substrate was placed upstream of the source and the airflow (along the &#x201c;step 1&#x201d; arrow in <xref ref-type="fig" rid="F1">Figure 1A</xref>) was set to 300 sccm for 15&#xa0;min, and then reduced to 100 sccm and kept at that airflow rate. When the central heating zone reached the target temperature of 1120&#xb0;C, the airflow was set to 100 sccm in the transferred direction (along the &#x201c;step 2&#x201d; arrow in <xref ref-type="fig" rid="F1">Figure 1A</xref>), ensuring the growth substrate was located downstream of the source, and then maintained for 5&#xa0;min for WS<sub>2</sub> epitaxial growth. After that, the airflow direction was reversed (along the &#x201c;step 1&#x201d; arrow in <xref ref-type="fig" rid="F1">Figure 1A</xref>) to stop the epitaxial growth process and allow it to naturally cool down to room temperature. The entire process occurred under ambient pressure in an argon atmosphere.</p>
</sec>
<sec id="s2-3">
<title>2.3 Characterization</title>
<p>Optical microscopy and STEM were used to characterize the morphologies of the nano-heterojunctions. The Raman spectra were performed using a Renishaw confocal Raman system excited by a 488-nm laser at room temperature. The applied laser power was set to 5%, and the exposure time was approximately 0.1&#xa0;s. STEM imaging and EELS analysis were carried out using a Thermo Scientific Themis Z 3.2 system equipped with a cold field-emission gun and a mirror lens corrector operating at 300&#xa0;kV. All STEM experiments were completed at room temperature. The strain distribution of the nanostructure was calculated based on the geometric phase analysis method using the FRWRtools plugin for DigitalMicrograph (<ext-link ext-link-type="uri" xlink:href="http://www.physik.hu-berlin.de/en/sem/software/software_frwrtools">www.physik.hu-berlin.de/en/sem/software/software_frwrtools</ext-link>).</p>
<p>The STEM samples were prepared using a poly-methyl-methacrylate (PMMA)&#x2013;assisted method. PMMA was spin-coated onto the heterojunction sample until the PMMA layer fully covered the heterojunction sample and then baked at 180&#xb0;C for 3&#xa0;min. Afterward, the wafer was immersed in a saturated 0.2&#xa0;M NaOH solution to etch the SiO<sub>2</sub> layer. After the sample coated with PMMA was separated from the silicon wafer, it was transferred into fresh deionized water, repeatedly, to wash away residual contaminants and then fished by a conventional lacey carbon film TEM grid. The as-transferred sample was dried naturally in the ambient environment and then immersed in acetone overnight to clean up the PMMA coating layers. All the STEM samples were baked at 150&#xb0;C for 6&#xa0;h to avert unexpected contamination from hydrocarbon.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Lateral heterojunction with 2D quantum wells</title>
<p>
<xref ref-type="fig" rid="F1">Figure 1B</xref> is the synthesis strategy diagrammatic sketch of the WSe<sub>2</sub>/WS<sub>2</sub> 2D quantum well, and <xref ref-type="fig" rid="F1">Figure 1B</xref>&#x2460; and <xref ref-type="fig" rid="F1">Figure 1B</xref>&#x2461; show the idealized schematic sketch of the monolayer WSe<sub>2</sub> and the WSe<sub>2</sub>/WS<sub>2</sub> 2D quantum well, respectively. The WS<sub>2</sub> quantum well was inserted into the monolayer WSe<sub>2</sub>, which started to grow from the WSe<sub>2</sub>/WS<sub>2</sub> interface, as depicted in <xref ref-type="fig" rid="F1">Figure 1B</xref>&#x2461;. The width of the quantum well in <xref ref-type="fig" rid="F1">Figure 1B</xref>&#x2461; is exaggerated to make the display easy to recognize and understand. <xref ref-type="fig" rid="F1">Figure 1C</xref> is the optical image of the monolayer WSe<sub>2</sub>/WS<sub>2</sub> lateral heterojunction synthesized on a silica/silicon substrate; it shows two concentric regions with slightly different optical contrast due to the refractive index and thickness difference between tungsten selenide and tungsten sulfide (<xref ref-type="bibr" rid="B8">Henrie et al., 2004</xref>; <xref ref-type="bibr" rid="B1">Blake et al., 2007</xref>). Here, the nanoscale WS<sub>2</sub> 2D quantum wells formed at the WSe<sub>2</sub>/WS<sub>2</sub> interface but were difficult to recognize in the optical image due to the low enlargement factor of optical microscopy. To further explore the spatial modulation of structural and optical properties in WSe<sub>2</sub>/WS<sub>2</sub> lateral heterostructures, the confocal Raman microscope was used to characterize the nanostructure. We picked up three points marked &#x27;&#x27;1,&#x2033; &#x27;&#x27;2,&#x2033; and &#x27;&#x27;3&#x2033; in <xref ref-type="fig" rid="F1">Figure 1C</xref> for the Raman study, where &#x27;&#x27;1&#x27;&#x27; (black point), &#x27;&#x27;2&#x27;&#x27; (red point), and &#x27;&#x27;3&#x27;&#x27; (blue point) are located at the internal tungsten selenium, the WSe<sub>2</sub>/WS<sub>2</sub> interface, and the epitaxial tungsten sulfide area, respectively. The Raman spectra at different locations showed distinct differences: the internal region Raman spectrum had a significant peak at 250 cm<sup>&#x2212;1</sup> (black line in <xref ref-type="fig" rid="F1">Figure 1D</xref>), consistent with the A<sub>1g</sub> resonance pattern of WSe<sub>2</sub>, and the peripheral region Raman spectrum had two significant peaks, at 350&#xa0;cm<sup>&#x2212;1</sup> and 419&#xa0;cm<sup>&#x2212;1</sup> (blue line in <xref ref-type="fig" rid="F1">Figure 1D</xref>), corresponding to the E<sup>1</sup>
<sub>2g</sub> and A<sub>1g</sub> resonance patterns of WS<sub>2</sub>. Significantly, the Raman spectrum of the WSe<sub>2</sub>/WS<sub>2</sub> interface showed both the resonance modes of WSe<sub>2</sub> and the resonance modes of WS<sub>2</sub> (red line in <xref ref-type="fig" rid="F1">Figure 1D</xref>), which indicate that tungsten selenium and tungsten sulfide coexist well within the same triangular domain.</p>
</sec>
<sec id="s3-2">
<title>3.2 Strain analysis in a WSe<sub>2</sub>/WS<sub>2</sub> 2D quantum well</title>
<p>These WS<sub>2</sub> quantum wells extending from the WSe<sub>2</sub>/WS<sub>2</sub> interface, mostly distributed in parallel, were generally observed in the lateral WSe<sub>2</sub>/WS<sub>2</sub> heterojunction samples, as shown in the STEM image in <xref ref-type="fig" rid="F2">Figure 2A</xref>. <xref ref-type="fig" rid="F2">Figure 2B</xref> is the enlarged view of <xref ref-type="fig" rid="F2">Figure 2A</xref>, and the clear boundaries between WSe<sub>2</sub> and WS<sub>2</sub> in the WSe<sub>2</sub>/WS<sub>2</sub> 2D quantum well are apparent. Also, the strain distribution corresponding to <xref ref-type="fig" rid="F2">Figure 2B</xref> is given in <xref ref-type="fig" rid="F2">Figure 2C</xref>. The perfect lattice from the monolayer WSe<sub>2</sub> was used as a reference for calculating the strain. In the perfect monolayer, the lattice constant of WSe<sub>2</sub> was &#x223c;4% larger than that of WS<sub>2</sub>, which indicates that the WS<sub>2</sub> quantum well had high and uniform tensile strain along its growth direction, leading to the observed dislocation-free transverse interface. However, the situation was different in the direction perpendicular to the growth direction, where there was a comparatively larger lattice mismatch between WS<sub>2</sub> and WSe<sub>2</sub> (&#x223c;4.3 &#xb1; 0.5%), as revealed by the calculated strain distribution spectrum.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Strain analysis of WS<sub>2</sub> 2D quantum wells at the interface between WSe<sub>2</sub> and WS<sub>2</sub>. <bold>(A)</bold> STEM image of WS<sub>2</sub> quantum wells with uniform width at the WSe<sub>2</sub>/WS<sub>2</sub> lateral heterojunction interface. <bold>(B)</bold> Enlarged view of <bold>(A)</bold>. <bold>(C)</bold> Corresponding strain distribution of <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fmats-10-1108077-g002.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Atomic-scale sharp WS<sub>2</sub> 2D quantum well</title>
<p>
<xref ref-type="fig" rid="F3">Figure 3A</xref> shows a 2D quantum well in which the monolayer of the WS<sub>2</sub> nanoribbons is laterally sandwiched between two monolayer WSe<sub>2</sub> nanoribbons. As shown in the STEM image in <xref ref-type="fig" rid="F3">Figure 3A</xref>, the Se and S atomic sites are distinguished from the image contrast due to different atomic numbers (<xref ref-type="bibr" rid="B10">Krivanek et al., 2010</xref>; <xref ref-type="bibr" rid="B19">Zhou et al., 2012</xref>), where the WS<sub>2</sub> quantum well shows a lower image intensity than the surrounding monolayer WSe<sub>2</sub>, and the WS<sub>2</sub>/WSe<sub>2</sub> interface is marked by red dashed lines.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Atomic-scale sharp WS<sub>2</sub> 2D quantum well embedded in monolayer WSe<sub>2</sub>. <bold>(A)</bold> STEM image of the WSe<sub>2</sub>/WS<sub>2</sub> lateral heterojunction interface; the red dashed line highlights the interface between WSe<sub>2</sub> and WS<sub>2</sub>. <bold>(B)</bold> High-resolution STEM-ADF image of a WS<sub>2</sub> quantum well; the red dashed line along the armchair orientation highlights the interface between WSe<sub>2</sub> and WS<sub>2</sub>. The yellow and red circles mark the Se and S atoms, respectively. <bold>(C)</bold> Atomic structural model of the WS<sub>2</sub> quantum well corresponding to <bold>(B)</bold>. Pink, blue, and gray spheres represent the S, Se, and W atoms, respectively.</p>
</caption>
<graphic xlink:href="fmats-10-1108077-g003.tif"/>
</fig>
<p>The high-resolution STEM-annular dark-field (ADF) image of a WS<sub>2</sub> quantum well is shown in <xref ref-type="fig" rid="F3">Figure 3B</xref>; the yellow and red circles mark Se and S atoms, respectively. It was observed that the &#x223c;1.2&#xa0;nm WS<sub>2</sub> quantum well was embedded in a single layer of WSe<sub>2</sub> and growing along the hexagonal armchair orientation. Correspondingly, <xref ref-type="fig" rid="F3">Figure 3C</xref> is the idealized atomic structural model of the WS<sub>2</sub> quantum well according to <xref ref-type="fig" rid="F3">Figure 3B</xref>. The interface is highlighted by the red and black dashed lines in <xref ref-type="fig" rid="F3">Figures 3B,C</xref>, respectively. It is obvious that there are no mismatches or defects at the interface, which means a fully coherent lateral interface was formed.</p>
</sec>
<sec id="s3-4">
<title>3.4 Formation mechanism of WS<sub>2</sub> quantum wells at the WSe<sub>2</sub>/WS<sub>2</sub> lateral interface</title>
<p>Similar to film growth, strain relaxation at the epitaxial interface with intrinsic lattice mismatch produces mismatch dislocation once the critical width is exceeded (<xref ref-type="bibr" rid="B15">Matthews and Blakeslee, 1974</xref>; <xref ref-type="bibr" rid="B9">Jain et al., 1997</xref>). For the lateral WSe<sub>2</sub>/WS<sub>2</sub> heterostructures, the mismatch dislocation array spaced &#x223c;8&#xa0;nm in the zigzag orientation was expected to alleviate the lattice strain due to the presence of &#x223c;4% lattice mismatch between WSe<sub>2</sub> and WS<sub>2</sub>. Through careful observation, it was found that WS<sub>2</sub> quantum wells relied on a dislocation core for growth at the lateral WSe<sub>2</sub>/WS<sub>2</sub> heterointerface in general, and further growth was considered driven by misfit dislocation climb. As shown in <xref ref-type="fig" rid="F4">Figure 4A</xref>, the insertion of one&#xa0;W atom and two S atoms from the gas source was considered initiation of the dislocation-driven growth as such dislocation drove the W and S atoms to invade the WSe<sub>2</sub> along the hexagonal zigzag orientation, which is consistent with our experimental results. According to statistical analysis, the width of WS<sub>2</sub> quantum wells is about 1.2&#xa0;nm, which is equivalent to the width of the four WS<sub>2</sub> unit cells. A four-unit-cell-width and a one-unit-cell-width WS<sub>2</sub> nano-seed, shaded in light red in <xref ref-type="fig" rid="F4">Figure 4B</xref>,are shown penetrating to the WSe<sub>2</sub> monolayer to propagate the quantum well.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Diagrammatic sketch of the formation mechanism of WS<sub>2</sub> quantum wells at the interface between WSe<sub>2</sub> and WS<sub>2</sub>.<bold>(A)</bold> Generation of dislocation. <bold>(B)</bold> Propagation of quantum wells. <bold>(C)</bold> Formation of the WS<sub>2</sub> superlattice.</p>
</caption>
<graphic xlink:href="fmats-10-1108077-g004.tif"/>
</fig>
<p>Theoretically, the formation of the mismatch dislocation at the interface was required per each &#x223c;8&#xa0;nm interval to release strain. After repeating the aforementioned growth mechanism, parallel WS<sub>2</sub> quantum wells were formed, and these parallel 2D narrow nano-bands were quantum well superlattices, as shown in <xref ref-type="fig" rid="F4">Figure 4C</xref>.</p>
</sec>
<sec id="s3-5">
<title>3.5 Promising 2D quantum well superlattices with atomically sharp lateral interfaces</title>
<p>According to the aforementioned results, there is potential to generate a 2D quantum superlattice, consisting of equally spaced 2D quantum wells, if growth conditions are precisely controlled. The WS<sub>2</sub> quantum well grown by this mechanism formed a type II band arrangement with the surrounding monolayer WSe<sub>2</sub>, as shown in <xref ref-type="fig" rid="F4">Figure 4B</xref>.</p>
<p>Meanwhile, the n-type doped ultranarrow WS<sub>2</sub> nanoribbons were expected to be conductors due to the type II band alignment. Nanoribbons of higher carrier concentrations can be obtained by this process of modulation doping as ionizing donors are distributed in the WSe<sub>2</sub> region and thus reduce Coulomb scattering in WS<sub>2</sub>. Furthermore, the quantum wells shown in <xref ref-type="fig" rid="F5">Figure 5A</xref> are not evenly spaced, and such a phenomenon could be attributed to the periodic array that was not initially formed at the interface. The bottom area in <xref ref-type="fig" rid="F5">Figure 5B</xref> is an enlarged display of the red dotted frame in <xref ref-type="fig" rid="F5">Figure 5A</xref>. There are different energy band distributions in the region of tungsten sulfide and tungsten selenide. From <xref ref-type="fig" rid="F5">Figure 5A</xref> and <xref ref-type="fig" rid="F5">Figure 5B</xref>, it can be concluded that the length distribution of quantum wells ranges from ten nanometers to a few microns, while the spacing between the quantum wells is about 8&#xa0;nm, which is basically consistent with the previous theoretical analysis results. High-quality 2D semiconductor quantum well superlattices may be prepared by a misalignment drive mechanism if the growth parameters of the chemical vapor deposition (CVD) system are stably controlled.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>WS<sub>2</sub> quantum superlattice. <bold>(A,B)</bold> Atomic structure model of the WSe<sub>2</sub>/WS<sub>2</sub> superlattice and the calculated band structure. The red and black solid lines represent the valence band maximum (VBM) and the conduction band minimum (CBM), respectively.</p>
</caption>
<graphic xlink:href="fmats-10-1108077-g005.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>To summarize, we successfully synthesized sub-2-nm quantum well arrays in WSe<sub>2</sub>/WS<sub>2</sub> lateral heterojunctions. High-resolution STEM images showed the atomically sharp lateral interfaces between the WS<sub>2</sub> quantum well and monolayer WSe<sub>2</sub>. Among them, &#x223c;4% lattice mismatch between WSe<sub>2</sub> and WS<sub>2</sub> monolayers led to misfit dislocation arrays with an average spacing of 8&#xa0;nm at the lateral heterointerface. After that, dislocations drove the corresponding atoms to penetrate along the hexagonal armchair orientation, which plays a key role in the efficient growth of quantum wells. According to the results of the WSe<sub>2</sub>/WS<sub>2</sub> lateral heterojunction system, such quantum well superlattice structures are expected to be formed in varied lateral heterojunctions. Considering the large variety of 2D materials, 2D quantum well superlattices in varied lateral heterojunctions will display abundant photonic electronic properties, which provide new roads for the study of topological insulators and superconductors.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary Material</xref>; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>HY: conceptualization, methodology, formal analysis, resources, visualization, and writing&#x2014;original draft. LZ: methodology and formal analysis. ZH: conceptualization and visualization. TZ: methodology, and writing&#x2014;review and editing. SZ: investigation, validation, and formal analysis. XZ: laboratory resources. ZA: investigation. XL: visualization. BZ: conceptualization, writing&#x2014;review and editing, supervision, and project administration. All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This work was supported by the Natural Science Foundation of Changsha (Grant. kq2202092).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
<p>The Reviewer, EZ, declared a shared affiliation with the author, BP, at the time of the review.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmats.2023.1108077/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmats.2023.1108077/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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