FIRST-PRINCIPLES STUDY OF MAGNETIC ANISOTROPY ENERGY IN TWO-DIMENSIONAL FERROMAGNETIC CrI3
Authors
Puke Lajaladita Litle Mecci , Annisa Monica , Iin Riananda Br Sinurat , Agustina Widiyani , Abdul Rajak , Indra PardedeDOI:
10.29303/ipr.v6i1.191Published:
2022-12-26Issue:
Vol. 6 No. 1 (2023)Keywords:
Ferromagnetic material, 2D monolayer CrI3, Magnetic anisotropy energy (MAE), First-principles calculationArticles
Downloads
How to Cite
Abstract
First-principles calculations are increasingly crucial in searching for new materials with customized properties or new functionality. First-principles calculations are superior in speed and cost, and comparable to experiments in terms of accuracy. Two-dimensional (2D) ferromagnetism materials were successfully fabricated experimentally in atomic thin films of CrI3. 2D intrinsic ferromagnetism with perpendicular magnetic anisotropy energy (PMAE) is an encouraging applicant compatible with high-density magnetic storage applications. In this study, spin density functional calculations are investigated on the magnetic anisotropy energy (MAE) in 2D monolayer ferromagnetic CrI3 using a first-principles electronic structure calculation. We include the MAE part calculation from the magnetocrystalline anisotropy energy (MCAE) that comes from the spin-orbit coupling (SOC). In the present calculation, the MCAE part, in addition to a usual scheme of total energy (TE), was evaluated using a grand-canonical force theorem (GCFT) scheme. The MCAE of 2D monolayer ferromagnetic CrI3 is 1.7 meV/unit cell and verified it has an easy-axis perpendicular to the crystal plane, which is a good agreement with experimental measurement. In the latter scheme, employing GCFT, we evaluated atom-resolved, k-resolved, and atomic k-resolved analyses for MCAE can be performed. From the GCFT result, the Cr atom indicates that it is the primary origin of PMAE in the atom-resolved MCAE. The negative MCAE contribution is in points, and the positive MCAE is mainly placed at the line in the 2D first Brillouin zone. Our systematic calculation in this work may also help design an effective structure of monolayer CrI3 in new 2D material magnetic sensor and spintronic device designs.References
A. Agrawal and A. Choudhary, “Perspective : Materials informatics and big data : Realization of the ‘fourth paradigm’ of science in materials science,” APL Mater., vol. 053208, no. April 2016, 2018, doi: 10.1063/1.4946894.
G. R. Schleder, A. C. M. Padilha, C. M. Acosta, and M. Costa, “From DFT to machine learning : recent approaches to materials science-a review,” JPhys Mater., pp. 0–46, 2019.
C. Chen, Y. Zuo, W. Ye, X. Li, and S. P. Ong, “Learning properties of ordered and disordered materials from multi-fidelity data,” Nat. Comput. Sci., vol. 1, no. January, 2021, doi: 10.1038/s43588-020-00002-x.
B. Dieny and M. Chshiev, “Perpendicular magnetic anisotropy at transition metal/oxide interfaces and applications,” Rev. Mod. Phys., vol. 89, no. 2, pp. 025008–025062, 2017, doi: 10.1103/RevModPhys.89.025008.
S. Haastrup, M. Strange, M. Pandey, T. Deilmann, and P. S. Schmidt, “The Computational 2D Materials Database : high-throughput modeling and discovery of atomically thin crystals,” 2D Mater., 2018, doi: 10.1088/2053-1583/aacfc1.
H. Yang et al., “Two-dimensional materials prospects for non-volatile spintronic memories,” Nature, vol. 606, no. 7915, pp. 663–673, 2022, doi: 10.1038/s41586-022-04768-0.
C. Tang, K. Ostrikov, S. Sanvito, and A. Du, “Prediction of room-temperature ferromagnetism and large perpendicular magnetic anisotropy in a planar hypercoordinate FeB3 monolayer,” Nanoscale Horizons, vol. 6, no. 1, pp. 43–48, 2021, doi: 10.1039/d0nh00598c.
R. Han, Z. Jiang, and Y. Yan, “Prediction of Novel 2D Intrinsic Ferromagnetic Materials with High Curie Temperature and Large Perpendicular Magnetic Anisotropy,” Phys. Chem., pp. 1–9, 2020, doi: 10.1021/acs.jpcc.0c01307.
B. Huang et al., “Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit,” Nat. Publ. Gr., vol. 546, no. 7657, pp. 270–273, 2017, doi: 10.1038/nature22391.
C. Gong et al., “Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals,” Nat. Publ. Gr., vol. 546, no. 7657, pp. 265–269, 2017, doi: 10.1038/nature22060.
Q. Pei, B. Zhou, W. Mi, and Y. Cheng, “Triferroic Material and Electrical Control of Valley Degree of Freedom,” ACS Appl. Mater. Interfaces, 2019, doi: 10.1021/acsami.9b02095.
J. L. Lado and J. F. Rossier, “On the origin of magnetic anisotropy in two dimensional CrI3,” 2D Mater., vol. 4, pp. 035002–035012, 2017, doi: https://doi.org/10.1088/2053-1583/aa75ed.
L. Chen et al., “Magnetic anisotropy in ferromagnetic CrI3,” Phys. Rev. B 101, vol. 134418, pp. 1–8, 2020, doi: 10.1103/PhysRevB.101.134418.
J. Kim et al., “Exploitable Magnetic Anisotropy of the Two-Dimensional Magnet CrI3,” Nano Lett., vol. 20, pp. 929–935, 2020, doi: 10.1021/acs.nanolett.9b03815.
P. V. Ong, N. Kioussis, P. K. Amiri, and K. L. Wang, “Electric-field-driven magnetization switching and nonlinear magnetoelasticity in Au/FeCo/MgO heterostructures,” Sci. Rep., vol. 6, no. June, pp. 1–8, 2016, doi: 10.1038/srep29815.
I. Pardede, D. Yoshikawa, T. Kanagawa, N. Ikhsan, M. Obata, and T. Oda, “Anatomy of magnetic anisotropy and voltage-controlled magnetic anisotropy in metal oxide heterostructure from first principles,” Crystals, vol. 10, no. 12, pp. 1–17, 2020, doi: 10.3390/cryst10121118.
K. Laasonen, “Ab Initio Molecular Dynamics for d-Electron Systems : Liquid Copper at 1500 K,” vol. 69, no. 13, pp. 1982–1985, 1992, doi: doi.org/10.1103/PhysRevLett.69.1982.
K. Laasonen, A. Pasquarello, R. Car, C. Lee, and D. Vanderbilt, “Car-Parrinello molecular dynamics with Vanderbilt ultrasoft pseudopotentials,” Phys. Rev. B, vol. 47, no. 16, pp. 10142–10153, 1993, doi: 10.1103/PhysRevB.47.10142.
T. Oda, A. Pasquarello, and R. Car, “Fully Unconstrained Approach to Noncollinear Magnetism: Application to Small Fe Clusters,” Phys. Rev. Latters, vol. 80, pp. 18–21, 1998, doi: doi.org/10.1103/PhysRevLett.80.3622.
T. Oda and A. Hosokawa, “Fully relativistic two-component-spinor approach in the ultrasoft-pseudopotential plane-wave method,” Phys. Rev. B - Condens. Matter Mater. Phys., vol. 72, no. 22, pp. 1–4, 2005, doi: 10.1103/PhysRevB.72.224428.
J. Kubler, Theory of Itenerant Electron Magnetism. New York: Oxford University Press, 2009.
P. Hohenberg and W. Kohn, “Inhomogeneous Electron Gas*,” Phys. Rev., vol. 136, 1964, doi: 10.1103/PhysRev.136.B864.
W. Kohn and L. J. Sham, “Self-Consistent Equations Including Exchange and Correlation Effects*,” Phys. Rev., vol. 140, 1965, doi: 10.1103/PhysRev.140.A1133.
I. Pardede et al., “Anatomy of large perpendicular magnetic anisotropy in free-standing Co/Ni (1 1 1) multilayer,” J. Magn. Magn. Mater., vol. 500, no. November 2019, p. 166357, 2020, doi: 10.1016/j.jmmm.2019.166357.
A. G. H. O. Daalderop, P. J. Kelly and M. F. H. Schuurmans, “First-principles calculation of the magnetocrystalline of iron, cobalt, anti nickel,” Phys. Rev. B, vol. 41, no. 17, pp. 11919–11937, 1990, doi: https://doi.org/10.1103/PhysRevB.41.11919.
D. Wang, R. Wu, and A. J. Freeman, “First-principles theory of surface magnetocrystalline anisotropy and the diatomic-pair model,” Phys. Rev. B, vol. 47, no. 22, pp. 932–947, 1993, doi: 10.1103/PhysRevB.47.14932.
D. Li, A. Smogunov, C. Barreteau, F. Ducastelle, and D. Spanjaard, “Magnetocrystalline anisotropy energy of Fe (001) and Fe (110) slabs and nanoclusters: A detailed local analysis within a tight-binding model,” Phys. Rev. B - Condens. Matter Mater. Phys., vol. 88, no. 21, pp. 1–9, 2013, doi: 10.1103/PhysRevB.88.214413.
M. A. McGuire, H. Dixit, V. R. Cooper, and B. C. Sales, “Coupling of crystal structure and magnetism in the layered, ferromagnetic insulator CrI3,” Chem. Mater., vol. 27, no. 2, pp. 612–620, 2015, doi: 10.1021/cm504242t.
R. A. Patil et al., “Intriguing field-effect-transistor performance of two-dimensional layered and crystalline CrI3,” Mater. Today Phys., vol. 12, pp. 100174–100199, 2020, doi: 10.1016/j.mtphys.2019.100174.
K. Momma and F. Izumi, “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data,” J. Appl. Crystallogr., vol. 44, pp. 1272–1276, 2011, doi: 10.1107/S0021889811038970.
J. P. Perdew et al., “Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation,” Phys. Rev. B, vol. 48, no. 7, p. 4978, 1992, doi: 10.1103/PhysRevB.48.4978.2.
H. J. Monkhorst and J. D. Pack, “Special points for Brillouin-zone integrations*,” Phys. Rev. A, vol. 13, no. 12, pp. 5188–5192, 1976, doi: https://doi.org/10.1103/PhysRevB.13.5188.
G. Guo, G. Bi, C. Cai, and H. Wu, “Effects of external magnetic field and out-of-plane strain on magneto-optical Kerr spectra in CrI3 monolayer,” J. Phys. Condens. Matter, pp. 1–13, 2018, doi: doi.org/10.1088/1361-648X/aac96e.
S. Ghosh and N. Binggeli, “Structural and magnetic response of CrI3 monolayer to electric field,” Phys. B Condens. Matter, vol. 570, no. May, pp. 166–171, 2019, doi: 10.1016/j.physb.2019.06.040.
Q. Xu, W. Xie, Z. Lu, and Y. Zhao, “Theoretical study of enhanced ferromagnetism and tunable magnetic anisotropy of monolayer CrI3 by surface adsorption,” Phys. Lett. A, vol. 384, no. 29, pp. 126754–126760, 2020, doi: 10.1016/j.physleta.2020.126754.
P. Bruno, “Tight-binding approach to the orbital magnetic moment and magnetocrystalline anisotropy of transition-metal monolayers,” Phys. Rev. B, vol. 39, no. 1, pp. 865–868, 1989, doi: 10.1103/PhysRevB.39.865.
V. Kumar Gudelli and G. Y. Guo, “Magnetism and magneto-optical effects in bulk and few-layer CrI3: a theoretical GGA + U study,” New J. Phys., vol. 21, no. 5, 2019, doi: 10.1088/1367-2630/ab1ae9.
W. Zhang, Q. Qu, P. Zhu, and C. Lam, “Robust intrinsic ferromagnetism and half semiconductivity in stable two-dimensional single-layer chromium trihalides,” J. Mater. Chem. C, vol. 3, pp. 12457–12468, 2015, doi: 10.1039/C5TC02840J.
L. Webster and J. Yan, “Strain-tunable magnetic anisotropy in monolayer CrCl3, CrBr3, and CrI3,” Phys. Rev. B, vol. 98, no. 14, p. 144411, 2018, doi: 10.1103/PhysRevB.98.144411.
I. M. Miron et al., “Current-driven spin torque induced by the Rashba effect in a ferromagnetic metal layer,” Nat. Mater., vol. 9, no. 3, pp. 230–234, 2010, doi: 10.1038/nmat2613.
J. Kim et al., “Layer thickness dependences of the current-induced effective field vector in Ta | CoFeB | MgO,” Nat. Mater., vol. 12, no. 2, pp. 1–6, 2012, doi: 10.1038/nmat3522.
E. Lesne et al., “Highly efficient and tunable spin-to-charge conversion through Rashba coupling at oxide interfaces,” Nat. Mater., vol. 1, no. August, pp. 4–10, 2016, doi: 10.1038/NMAT4726.
License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Authors who publish with Indonesian Physical Review Journal, agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-ShareAlike 4.0 International Licence (CC BY SA-4.0). This license allows authors to use all articles, data sets, graphics, and appendices in data mining applications, search engines, web sites, blogs, and other platforms by providing an appropriate reference. The journal allows the author(s) to hold the copyright without restrictions and will retain publishing rights without restrictions.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in Indonesian Physical Review Journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).