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<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<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">736011</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2021.736011</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>Intrinsic Complex Vacancy-Induced d<sup>0</sup> Magnetism in Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> PLD Film</article-title>
<alt-title alt-title-type="left-running-head">Wu et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">d<sup>0</sup> Magnetism in Ca2Nb2O7 Film</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wu</surname>
<given-names>Linjie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1405993/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Yongjia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Nie</surname>
<given-names>Zhongquan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Cao</surname>
<given-names>Ensi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1393364/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>College of Physics and Optoelectronics, Taiyuan University of Technology, <addr-line>Taiyuan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Key Lab of Advanced Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, <addr-line>Taiyuan</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/268835/overview">Han Lin</ext-link>, Swinburne University of Technology, Australia</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/1404039/overview">Tongshuai Xu</ext-link>, Anyang Normal University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1404188/overview">Feng Jiang</ext-link>, Dalian University of Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ensi Cao, <email>ECao@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Quantum Materials, a section of the journal Frontiers in Materials</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>08</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>736011</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>07</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Wu, Zhang, Nie and Cao.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Wu, Zhang, Nie and Cao</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Introducing magnetism into the ferroelectric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> with high Curie temperature can make it a potential multiferroic material at room temperature. Stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub>, nonstoichiometric Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> single phase films were deposited on STO (110) substrate by pulsed laser deposition under appropriate conditions. The films were characterized by XRD, FE-SEM, Element mapping and XPS. Both stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> and Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> films were diamagnetic in the magnetic measurement and <italic>ab initio</italic> calculations, while the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> film with the complex vacancy of V<sub>Nb&#x2b;O</sub> exhibited ferromagnetic behavior at room temperature, with the saturated magnetization of 3.6 emu/cm<sup>3</sup>. Calculations on the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface indicate that the V<sub>Nb&#x2b;O</sub> can induce spin polarization on the residual O atoms around the Nb vacancies, and the system was most stable when the Nb and O vacancies were the 4<sup>th</sup> nearest-neighbored, with FM coupling energetically more stable than the AFM coupling. Our work verified experimentally and theoretically the feasibility of introducing ferromagnetism into Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> film by the intrinsic complex vacancy of V<sub>Nb&#x2b;O</sub>.</p>
</abstract>
<kwd-group>
<kwd>PLD</kwd>
<kwd>ab initio calculation</kwd>
<kwd>complex vacancy</kwd>
<kwd>Ca2Nb2O7</kwd>
<kwd>d0 magnetism</kwd>
</kwd-group>
<contract-num rid="cn001">201901D111117 201901D111126</contract-num>
<contract-sponsor id="cn001">Natural Science Foundation of Shanxi Province<named-content content-type="fundref-id">10.13039/501100004480</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Multiferroic materials with the co-existance of ferroelectricity (FE) and ferromagnetism (FM) have received considerable attention in recent years due to the unique physical mechanism of magnetoelectric coupling and potential applications in the fields of information storage, processing and sensing (<xref ref-type="bibr" rid="B10">Fiebig, 2005</xref>; <xref ref-type="bibr" rid="B8">Chun et&#x20;al., 2012</xref>). However, the natural conflict between FM and FE leads to the rarity of multiferroic material at room temperature (RT) (<xref ref-type="bibr" rid="B11">Hill, 2000</xref>). Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> is a member of the A<sub>n</sub>Nb<sub>n</sub>O<sub>3n&#x2b;2</sub> family with n &#x3d; 4, which has layered perovskite structure and high ferroelectric Curie temperature (above 1850&#xb0;C) (<xref ref-type="bibr" rid="B16">Lichtenberg et&#x20;al., 2001</xref>). The introduction of FM into ferroelectric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> could make it a potential multiferroic material at&#x20;RT.</p>
<p>In order to achieve FM in ferroelectric materials, doping magnetic elements was the most frequently adopted method. So far, RTFM has been experimentally observed in the Fe-doped BaTiO<sub>3</sub> films (<xref ref-type="bibr" rid="B19">Ramana et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B7">Chand Verma et&#x20;al., 2014</xref>), Fe-doped LiTaO<sub>3</sub> ceramics (<xref ref-type="bibr" rid="B21">Song et&#x20;al., 2014</xref>) and Fe-doped K<sub>0.45</sub>Na<sub>0.49</sub>Li<sub>0.06</sub>NbO<sub>3</sub> ceramics (<xref ref-type="bibr" rid="B17">Liu et&#x20;al., 2015</xref>), the origin of which can be theoretically well explained by the F-center model for diluted magnetic semiconductors. Besides, nonmagnetic element doping induced d<sup>0</sup> magnetism has been observed in BaTiO<sub>3</sub> film/ceramics, Nb-doped BaTiO<sub>3</sub> film and LiNbO<sub>3</sub> nanocrystallites, the origin of which was ascribed to the oxygen vacancy (<xref ref-type="bibr" rid="B18">Mangalam et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B23">Yang et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B9">D&#xed;az-Moreno et&#x20;al., 2014</xref>). However, the observed FM in Eu-doped CdNb<sub>2</sub>O<sub>6</sub> powders was elucidated with the intrinsic exchange interactions between the magnetic moments associated with the unpaired 4<italic>f</italic> electrons in Eu<sup>3&#x2b;</sup> ions (<xref ref-type="bibr" rid="B22">Topkaya et&#x20;al., 2017</xref>). The RTFM in K<sub>0.5</sub>Na<sub>0.5</sub>NbO<sub>3</sub> PLD film was related to the cationic K and Na vacancies (<xref ref-type="bibr" rid="B4">Cao et&#x20;al., 2011a</xref>), while the RTFM observed in BaNb<sub>2</sub>O<sub>6</sub> film was contributed mainly by the oxygen vacancy, with certain contribution by the Nb vacancy (<xref ref-type="bibr" rid="B5">Cao et&#x20;al., 2012</xref>). In the aspect of theoretical study, both Ti and O vacancies were found to be able to induce FM in BaTiO<sub>3</sub> bulk material and (001) surface (<xref ref-type="bibr" rid="B3">Cao et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B2">Cao et&#x20;al., 2011b</xref>) and in PbTiO<sub>3</sub> (<xref ref-type="bibr" rid="B20">Shimada et&#x20;al., 2012</xref>). However, O vacancy was found to be able to induce FM in LiNbO<sub>3</sub> but cannot induce FM in LiTaO<sub>3</sub> and Sr<sub>2</sub>AlNbO<sub>6</sub> (<xref ref-type="bibr" rid="B6">Cao et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B15">Li et&#x20;al., 2014</xref>).</p>
<p>Therefore, the origin of FM in undoped ferroelectric material is still controversial in both experimental and theoretical results. Meanwhile, most of the analyses on the vacancy-induced d<sup>0</sup> magnetism in ferroelectric oxide films just considered various cation vacancies or oxygen vacancy alone, the synergistic effect of cation and oxygen vacancies, i.e.,&#x20;the effect of complex vacancy, was seldom studied. Herein, the advantage of the identical composition between the film and ceramic target in pulsed laser deposition (PLD) was utilized to prepare stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> single phase film and those with the complex vacancy of V<sub>Ca&#x2b;O</sub> or V<sub>Nb&#x2b;O</sub> by varying the composition of Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> ceramic targets. The probability of achieving d<sup>0</sup> magnetism in the nonstoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> single phase film by complex vacancy was comprehensively examined by magnetic measurement and ab initio calculations.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and Methods</title>
<p>CaCO<sub>3</sub> and Nb<sub>2</sub>O<sub>5</sub> were used as raw material and weighted according to the atomic ratio of Ca/Nb as 0.95/1, 1/1, and 1/0.95, respectively. Stoichiometric and nonstoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> ceramic targets with intrinsic cation vacancies were then obtained by the conventional solid state reaction. Ablation of the targets were achieved using a KrF excimer laser source (&#x3bb; &#x3d; 248&#xa0;nm, pulse duration &#x3d; 20&#xa0;ns, energy of pulse &#x3d; 200&#xa0;mJ, frequency of pulse &#x3d; 3&#xa0;Hz). SrTiO<sub>3</sub> (110) substrate in the size of 5&#xa0;mm &#xd7; 5&#xa0;mm was chosen due to its smaller lattice mismatch with the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> lattice. The deposition duration was 0.5 h, the distance between the target and substrate was 60&#xa0;mm, the substrate temperature (T<sub>S</sub>) was 650&#xb0;C, and the oxygen pressure (P<sub>O</sub>) was 1 mTorr for all depositions.</p>
<p>The crystal structure was examined by High Resolution X-ray Diffractometer (D8 discover, Bruker AXS GmbH, German) using Cu K&#x3b1; radiation. The SEM and element mapping on the surface were performed by Scanning Electron Microscope (SU8010, Hitachi, Japan). X-ray photoelectron spectra were obtained by X-ray Photoelectron Spectrometer with monochromated Al K&#x3b1; radiation (Escalab 250, Thermo Electron Corporation, United&#x20;States). Magnetic properties were measured by Magnetic Property Measurement System (MPMS-5XL, Quantum design, United&#x20;States) with magnetic field parallel to the surface of film. The film thickness was checked by Stylus Surface Profiler (Dektak 150, Veeco Metrology, France).</p>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>Results and Discussion</title>
<sec id="s3-1">
<title>Structural and Surface Characterizations</title>
<p>
<xref ref-type="fig" rid="F1">Figure&#x20;1</xref> shows the XRD patterns of the STO substrate and the as-deposited films. Aside from the (110) and (220) diffraction peaks from the substrate (see <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>), the only appearance of (040) diffraction peaks from orthorhombic Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (PDF&#x23;70-2006) in <xref ref-type="fig" rid="F1">Figure&#x20;1B</xref> means that single phase of stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> was obtained under the current deposition conditions without impurity phase. The Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (020) diffraction peaks in <xref ref-type="fig" rid="F1">Figures 1C,D</xref> indicated that the single phase of Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> was maintained using the targets with 5% Ca or Nb deficiency. To maintain the charge neutrality, the Ca or Nb vacancy would lead to the concomitant appearance of oxygen vacancy in the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> lattice, therefore, the nonstoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> films were denoted as Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub>, respectively. The film thickness of the three samples was close and approximated to be 100&#xa0;nm. The SEM images for the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub>, Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> surfaces are displayed in the <xref ref-type="sec" rid="s9">Supplementary Figure S1</xref>. Smooth and even surface could be observed for the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> film, while bumps and hollows were present on the surface of nonstoichiometric films, with the highest degree of roughness obtained by the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> surface. The corresponding element mapping images show that the elements Ca and Nb from the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> films were uniformly distributed on the surface of STO substrate for all samples, while the element O exhibited higher degree of density due to the simultaneous contribution from the film and substrate.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>XRD patterns of the STO substrate <bold>(A)</bold>, the as-deposited films using stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> target <bold>(B)</bold>, nonstoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> target with 5% Ca deficiency <bold>(C)</bold> and Nb deficiency <bold>(D)</bold>.</p>
</caption>
<graphic xlink:href="fmats-08-736011-g001.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F2">Figure&#x20;2</xref> shows the core level XPS for the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub>, Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> films. All spectra were charge corrected according to the C-C peak at the binding energy (BE) of 284.8&#xa0;<italic>e</italic>V. In <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>, the C-C and C-O-C peaks come from the adventitious carbon contamination, while the small amount of O-C&#x3d;O peaks originate from the carbonate formed on the surface. From the Ca 2<italic>p</italic> and Nb 3<italic>d</italic> XPS in <xref ref-type="fig" rid="F2">Figures 2B,C</xref>, Ca and Nb ions were in the valence states of &#x2b;2 and &#x2b;5 respectively. Since there is no other valence states present for Ca and Nb, the existence of Ca or Nb vacancy in the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> lattice can only induce oxygen vacancies to maintain the charge neutrality, hence the complex vacancy of V<sub>Ca&#x2b;O</sub> and V<sub>Nb&#x2b;O</sub> should be present in Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> films, respectively. With respect to the stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> film, the Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> film exhibited 0.17&#xa0;<italic>e</italic>V lower BE for the Ca 2<italic>p</italic>
<sub>3/2</sub> peak but 0.51&#xa0;<italic>e</italic>V higher BE for the Nb 3<italic>d</italic>
<sub>5/2</sub> peak, while the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> film exhibited 0.63&#xa0;<italic>e</italic>V lower BE for the Ca 2<italic>p</italic>
<sub>3/2</sub> peak but 0.05&#xa0;<italic>e</italic>V lower BE for the Nb 3<italic>d</italic>
<sub>5/2</sub> peaks. As for the O 1s XPS, lattice oxygen (O<sub>L</sub>) and adsorbed oxygen (O<sub>ads</sub>) were present in all samples, but the relative content of O<sub>ads</sub> for the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> film was 58.8% which was much higher the 40.53 and 40.01% for the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> and Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> films, respectively.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>C 1s <bold>(A)</bold>, Ca 2p <bold>(B)</bold>, Nb 3d <bold>(C)</bold> and O 1s <bold>(D)</bold> core level XPS for the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub>, Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x03B4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x03B4;</sub> films.</p>
</caption>
<graphic xlink:href="fmats-08-736011-g002.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Magnetic Measurement</title>
<p>
<xref ref-type="fig" rid="F3">Figure&#x20;3</xref> displays the MH curves for the STO substrate, Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub>, Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> films on STO measured at room temperature. Compared with the diamagnetic behavior of the STO substrate, the stronger diamagnetic signals in the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> and Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x3b4;</sub> films on STO suggest the presence of diamagnetism in the obtained films. However, the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> film on STO showed much weaker diamagnetic signal. As shown in <xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>, MH hysteresis loop was observed for the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> film after subtraction of the diamagnetic signal from the substrate, meaning that the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> film exhibited weak ferromagnetic behavior. Given the film thickness of 100&#xa0;nm, the saturated magnetic moment of 9&#xd7;10<sup>&#x2212;6</sup> emu corresponds to the magnetization of 3.6 emu/g for the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub>&#x20;film.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Original MH curves for the STO substrate, Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub>, Ca<sub>1.9</sub>Nb<sub>2</sub>O<sub>7-&#x03B4;</sub> and Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x03B4;</sub> films on STO measured at room temperature <bold>(A)</bold>, and the MH curve for the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x03B4;</sub> film after subtraction of the diamagnetic signal from the substrate <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fmats-08-736011-g003.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>Theoretical Calculation</title>
<p>In order to explore the origin of FM in the Ca<sub>2</sub>Nb<sub>1.9</sub>O<sub>7-&#x3b4;</sub> film, the density functional theory (DFT) calculations were performed using the plane-wave pseudopotential method in the Vienna Ab initio Simulation Package (VASP) (<xref ref-type="bibr" rid="B12">Kresse and Hafner, 1993a</xref>; <xref ref-type="bibr" rid="B14">Kresse and Joubert, 1999</xref>). The Projector Augmented Wave (PAW) (<xref ref-type="bibr" rid="B13">Kresse and Hafner, 1993b</xref>; <xref ref-type="bibr" rid="B1">Bl&#xf6;chl, 1994</xref>) potentials were employed, and General Gradient Approximate (GGA) was used to describe the exchange correlation energy. According to the XRD result, an orthorhombic Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> 1&#x20;&#xd7; 2&#x20;&#xd7; 1 supercell containing 176 atoms was first relaxed to get the most stable structure (see <xref ref-type="sec" rid="s9">Supplementary Figure S2A</xref>) until the total energy in the optimized structure was converged to 1.0 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;<italic>e</italic>V/atom and the Hellman-Feynman force was smaller than 0.01&#xa0;<italic>e</italic>V/&#xc5;. Then four different (010) planes were cleaved along the <italic>b</italic> axis, and a 10&#xc5; vacuum layer which was thick enough to isolate the atom layers was added above the supercell for further optimization. Among the four (010) surfaces, the configuration in the <xref ref-type="sec" rid="s9">Supplementary Figure S2B</xref> showed the lowest energy, on which further calculations were performed.</p>
<p>The stable configuration of Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface with labeled Ca, Nb, and O atoms to be removed for vacancy study is displayed in <xref ref-type="fig" rid="F4">Figure&#x20;4A</xref>, among which O1 is connected only to one Nb atom, O2 is coordinated between two neighbored Nb atoms, O3 connects one Nb atom in the outermost layer with another Nb atom in the second layer, while O4 denote the one between two Nb atoms in the second layer. Stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface was firstly studied and the total DOS was showed in <xref ref-type="fig" rid="F4">Figure&#x20;4B</xref>. No spin polarization could be observed around the Fermi level, meaning that the stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface is nonmagnetic.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Stable configuration of Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface with labeled Ca, Nb and O atoms to be removed for vacancy study <bold>(A)</bold>, and the total DOS of stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fmats-08-736011-g004.tif"/>
</fig>
<p>The complex vacancy of V<sub>Ca&#x2b;O</sub> in four different distributions, i.e.,&#x20;Ca1&#x2b;O1, Ca1&#x2b;O2, Ca1&#x2b;O3, and Ca1&#x2b;O4, was then studied. The relative stability (&#x394;E) of the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface with these four types of complex vacancy was 3.51, 4.18, 0, and 2.21&#xa0;<italic>e</italic>V respectively, meaning that the system with V<sub>Ca1&#x2b;O3</sub> was most stable. However, no spin polarization could be observed in the DOSs around the Fermi level in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>, indicating that the complex vacancy of V<sub>Ca&#x2b;O</sub> cannot induce magnetism in the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface. On the other side, the complex vacancy of V<sub>Nb&#x2b;O</sub> in four different distributions all induced spin polarization around the Fermi level and impurity bands in the forbidden gap (see <xref ref-type="fig" rid="F6">Figure&#x20;6</xref>), which were contributed mainly by the O 2<italic>p</italic> electrons. The three-dimensional iso-surfaces of magnetization density in the inset of <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> show that the complex vacancies of V<sub>Nb&#x2b;O</sub> mainly induced spin polarization on the residual O atoms around the Nb vacancies. The total net magnetic moment (M<sub>tot</sub>) of the system with V<sub>Nb1&#x2b;O1</sub>, V<sub>Nb1&#x2b;O2</sub>, V<sub>Nb1&#x2b;O3</sub>, and V<sub>Nb1&#x2b;O4</sub> was 1.0, 0.99, 0.96, and 1.0&#xa0;<italic>&#x3bc;</italic>
<sub>B</sub>, respectively. Among which, the system with V<sub>Nb1&#x2b;O4</sub> was the most stable one with the lowest energy, and the &#x394;E of the system with V<sub>Nb1&#x2b;O1</sub>, V<sub>Nb1&#x2b;O2</sub> and V<sub>Nb1&#x2b;O3</sub> was 1.04, 27.46, and 27.90&#xa0;<italic>e</italic>V, respectively. More importantly, FM coupling was energetically more favorable than AFM coupling in the cases of V<sub>Nb1&#x2b;O1</sub> and V<sub>Nb1&#x2b;O4</sub>, with the relative energy between FM and AFM as 7 and 45&#xa0;m<italic>e</italic>V, respectively.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>DOSs of Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface with the complex vacancy of VCa&#x002B;O in the distributions of Ca<sub>1</sub>&#x002B;O<sub>1</sub> <bold>(A)</bold>, Ca<sub>1</sub>&#x002B;O<sub>2</sub> <bold>(B)</bold>, Ca<sub>1</sub>&#x002B;O<sub>3</sub> <bold>(C)</bold>, and Ca<sub>1</sub>&#x002B;O<sub>4</sub> <bold>(D)</bold>.</p>
</caption>
<graphic xlink:href="fmats-08-736011-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Total and partial DOSs of Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (010) surface with the complex vacancy of VNb&#x002B;O in the distributions of Nb<sub>1</sub>&#x002B;O<sub>1</sub> <bold>(A)</bold>, Nb<sub>1</sub>&#x002B;O<sub>2</sub> <bold>(B)</bold>, Nb<sub>1</sub>&#x002B;O<sub>3</sub> <bold>(C)</bold>, and Nb<sub>1</sub>&#x002B;O<sub>4</sub> <bold>(D)</bold>. The insets show the corresponding three-dimensional iso-surfaces of magnetization density.</p>
</caption>
<graphic xlink:href="fmats-08-736011-g006.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>Conclusion</title>
<p>Nonstoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> single phase films with the complex vacancy of V<sub>Ca&#x2b;O</sub> or V<sub>Nb&#x2b;O</sub> were deposited on STO (110) substrate under appropriate deposition conditions using nonstoichiometric ceramic targets. The V<sub>Ca&#x2b;O</sub> cannot induce magnetism in the diamagnetic stoichiometric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> (020) single phase film, while V<sub>Nb&#x2b;O</sub> can induce spin polarization on the residual O atoms around the Nb vacancies, and make the Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> film exhibit FM behavior at RT. Our work demonstrated experimentally and theoretically that the introduction of intrinsic complex vacancy during deposition should be a feasible way to induce ferromagnetism in the ferroelectric Ca<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub> film, and this method might be applicable to other A<sub>2</sub>Nb<sub>2</sub>O<sub>7</sub>-type niobate ferroelectric films as&#x20;well.</p>
</sec>
</body>
<back>
<sec 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="s9">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>EC contributed to conception and design of the study. LW, YZ and ZN contributed to the acquisition, analysis and interpretation of data. All authors contributed to manuscript revision, read, and approved the submitted version.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This work was supported by National Natural Science Foundation of China (11404236, 11604236, and 11974258), Natural Science Foundation of Shanxi Province (201901D111117 and 201901D111126).</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 handling Editor declared a past co-authorship with one of the authors&#x20;NZ.</p>
</sec>
<sec id="s9" sec-type="disclaimer">
<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>
<ack>
<p>Part of this study has been performed using facilities at IBS Center for Correlated Electron Systems, Seoul National University.</p>
</ack>
<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.2021.736011/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmats.2021.736011/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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