Dataset Open Access
Nihei, Anastasiia;
Barnowsky, Tom;
Friedrich, Rico
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<subfield code="a"><p>This dataset includes the primary research data for the publication &quot;Non-van der Waals Heterostructures&quot;&nbsp;by A. Nihei, T. Barnowsky, and R. Friedrich. The dataset encompasses all heterostructure calculations performed in the study.</p>
<p><strong>Repository Structure</strong></p>
<p>The dataset is systematically organized into four primary directories:</p>
<p><em>Diamagnetic_diamagnetic/</em> &ndash; Contains computational results for heterostructures composed of two diamagnetic components.<br>
<em>Diamagnetic_magnetic/</em> &ndash; Contains computational results for heterostructures comprising one diamagnetic and one magnetic component.<br>
<em>Magnetic_magnetic/</em> &ndash; Contains computational results for systems consisting of two magnetic components.<br>
<em>Supplementary/</em> - Contains additional computations that complement the main heterostructure datasets:</p>
<p>&nbsp; &nbsp; -&nbsp;<em>Convergence_Test/</em> - Contains convergence tests with respect to <em>k</em>-point density. It includes calculations for structural relaxation (relax_convergence) and for static and band structure evaluations (bands_dos_convergence). The folder naming convention reflects the <em>k</em>-point sampling in the xy-plane: for instance, a folder labeled 3 corresponds to a 3&times;3&times;1 <em>k</em>-point grid.</p>
<p>&nbsp; &nbsp; - <em>HSE06/</em> - Contains computational results of electronic band structure and density of states (BANDS_DOS) or only static runs (SCF_Only) for heterostructures and single layers calculated with the HSE06 functional.<br>
&nbsp; &nbsp; - <em>Reference</em>/ &ndash; Contains computational results for graphene homobilayer systems.<br>
&nbsp; &nbsp; - <em>Shifted_Fe2O3_MgTiO3</em>/ - Contains computational results for 9&times;9 grid of calculations for possible shifts in the Fe<sub>2</sub>O<sub>3</sub>_MgTiO<sub>3</sub> heterostructure.<br>
&nbsp; &nbsp; - <em>Strain_Effect</em>/ - Contains computational results for single layers with a cell strained as in the HS, but relaxed atomic structure.</p>
<p><br>
<strong>Naming Conventions</strong></p>
<p>Each heterostructure is identified by a systematic naming scheme, structured as follows:</p>
<p>Component1_Component2_NumberOfAtoms_TwistAngle_Strain_Functional</p>
<p>, where</p>
<p>NumberOfAtoms - Total number of atoms in the unit cell<br>
TwistAngle &ndash; Twist angle (degrees) between 2D components<br>
Strain &ndash; Initial strain applied to individual components in the resulting heterostructure<br>
Functional &ndash; Exchange-correlation functional and theoretical level employed (plain PBE(+<em>U</em>), PBE(+<em>U</em>)+D3, SCAN+rVV10)</p>
<p>Each shifted Fe<sub>2</sub>O<sub>3</sub>_MgTiO<sub>3</sub> heterostructure is identified by a systematic naming scheme, structured as follows:</p>
<p>Shift_x_y</p>
<p>, where inner Fe cation is shifted by (x;y) grid points from the origin (the shifts in x and y directions are changed by the increment of 1/9 of the lattice constant).</p>
<p><br>
<strong>Computational Data Organization</strong></p>
<p>Structural relaxation steps and convergence results are stored within the main directory named according to the previously defined convention for the heterostructure.<br>
Each system directory contains the following subdirectories:</p>
<p><em>BANDS_DOS/</em> &ndash; Computed electronic band structures and density of states (DOS). Only density of states (DOS) is available for SCAN+rVV10 and some PBE(+<em>U</em>)+D3 calculations.<br>
density_difference/ (if present) &ndash; Charge density difference calculations, where charge densities of static calculations of individual systems were subtracted from the heterostructure charge density.<br>
<em>PARCHG/</em> (if present) &ndash; Partial charge density calculations for specified bands.<br>
<em>PHONONS/</em> (if present) - Phonon band structure data stored in JSON format.</p>
<p><br>
<strong>Additional Considerations</strong></p>
<p>Large-scale systems &ndash; Calculations for extended systems with up to 140 atoms are included.</p>
<p>Fe<sub>2</sub>O<sub>3</sub>_MgTiO<sub>3</sub> twisted systems &ndash; The initial aflow.in (260 atoms) files and computational results (140 atoms) for these large systems are located in the Fe<sub>2</sub>O<sub>3</sub>_MgTiO<sub>3</sub> directory under Diamagnetic_magnetic/.</p>
<p><br>
<strong>Methodology</strong></p>
<p>The monolayer structures used in this study originate from two previous publications [1,2].</p>
<p>The primary data for this systems can be obtained via the following links:</p>
<p><a href="https://doi.org/10.14278/rodare.1421">https://doi.org/10.14278/rodare.1421</a><br>
<a href="https://doi.org/10.14278/rodare.1852">https://doi.org/10.14278/rodare.1852</a></p>
<p>All heterostructures are generated by a custom &ldquo;hetbuilder&rdquo; implementation of the coincidence lattice method within the AFLOW software for materials design [3].&nbsp; The AFLOW internal automatic determination of k-point sets is used in conjunction with an extension for 2D systems enabling only in-plane sampling. Further information will be available in the publication [4].</p>
<p>Most calculations were carried out using the AFLOW framework, which automated the execution of VASP calculations [5-9]. Partial charge density and HSE06 calculations were executed exclusively with VASP, independent of AFLOW. HSE06 runs were preformed using the pre-relaxed PBE(+<em>U</em>) structures. Shifted Fe<sub>2</sub>O<sub>3</sub>_MgTiO<sub>3</sub> heterostructures were only vertically relaxed via selective dynamics.</p>
<p>The dataset enables reproducibility of the results presented in the associated publication.</p></subfield>
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<subfield code="x">[1] Friedrich et al., Nano Lett. 22, 989, (2022).</subfield>
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<subfield code="x">[2] Barnowsky et al., Adv. Electron. Mater. 9, 2201112, (2023).</subfield>
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<subfield code="x">[3] S. Divilov et al., High Entropy Alloys Mater. 3, 178 (2025).</subfield>
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<subfield code="x">[4] A. Nihei, T. Barnowsky, R. Kempt, S. Curtarolo, and R. Friedrich, manuscript in preparation (2026).</subfield>
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<subfield code="x">[5] G. Kresse and J. Hafner, Phys. Rev. B 47, 558 (1993).</subfield>
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<subfield code="x">[6] P. E. Blöchl, O. Jepsen, and O. K. Andersen, Phys. Rev. B 49, 16223 (1994).</subfield>
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<subfield code="x">[7] G. Kresse and J. Hafner, J. Phys.: Condens. Matter 6, 8245 (1994).</subfield>
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<subfield code="x">[8] G. Kresse and J. Furthmüller, Phys. Rev. B 54, 11169 (1996).</subfield>
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<subfield code="x">[9] G. Kresse and J. Furthmüller, Comput. Mater. Sci. 6, 15 (1996).</subfield>
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