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journal article Feb 10, 2020

Topological spin texture in Janus monolayers of the chromium trihalides Cr(I, X)3

Changsong Xu ORCID Junsheng Feng Sergei Prokhorenko Yousra Nahas Hongjun Xiang ORCID L. Bellaiche
Physical Review B Vol. 101 No. 6 · American Physical Society (APS)
View at Publisher Save 10.1103/physrevb.101.060404
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References
61
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Topological properties and dynamics of magnetic skyrmions

Naoto Nagaosa, Yoshinori Tokura

Nature Nanotechnology 10.1038/nnano.2013.243
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Spontaneous atomic-scale magnetic skyrmion lattice in two dimensions

Stefan Heinze, Kirsten von Bergmann, Matthias Menzel et al.

Nature Physics 10.1038/nphys2045
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Skyrmion Lattice in a Chiral Magnet

S. Mühlbauer, B. Binz, F. Jonietz et al.

Science 10.1126/science.1166767
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Anisotropic Superexchange Interaction and Weak Ferromagnetism

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See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.101.060404 for detailed methods and discussions on our results, which cites Refs. [15, 21, 23, 24, 26, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58].
[22]
The second nearest neighbors DMI of CrI3 are also listed in Table 1, and have the potential to result in noncollinear spin textures.
[27]
The net negative and thus ferromagnetic (FM) J1 results from the competition between Cr-Cr direct antiferromagnetic (AFM) coupling and Cr-X-Cr indirect FM coupling. The Cr-Cr distance becomes shorter via the shrinking of the lattice constants. Consequently, the direct AFM coupling is enhanced, while the changes to indirect FM coupling are relatively small, so that the total ferromagnetism is weakened and J1 thus becomes smaller in magnitude [15, 59].
[28]
Magnetic skyrmions in atomic thin CrI3 monolayer

Aroop K. Behera, Sugata Chowdhury, Suprem R. Das

Applied Physics Letters 10.1063/1.5096782
[29]
Note that Fig. 2 also displays the ε directly calculated from DFT, that agrees rather well with those obtained by the model, which thus further testifies to the accuracy of our model Hamiltonian.
[31]
Moreover, it is found that the DWS cannot be induced by magnetic field at zero temperature, since a mild magnetic field increases the energy of the DWS, while a strong out-of-plane magnetic field polarizes the spin patterns to zFM state.
[33]
Note that such spin arrangement is reminiscent of the spin organization of BiFeO3 that consists of an in-plane cycloidal structure and an out-of-plane waved spin pattern [60].
[47]
From ultrasoft pseudopotentials to the projector augmented-wave method

G. Kresse, D. Joubert

Physical Review B 10.1103/physrevb.59.1758
[48]
Projector augmented-wave method

P. E. Blöchl

Physical Review B 10.1103/physrevb.50.17953
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Self-Consistent Equations Including Exchange and Correlation Effects

W. Kohn, L. J. Sham

Physical Review 10.1103/physrev.140.a1133

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Published
Feb 10, 2020
Vol/Issue
101(6)
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Authors
C
Changsong Xu

Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, Arkansas 72701, USA

J
Junsheng Feng

School of Physics and Materials Engineering, Hefei Normal University, Hefei 230601, People's Republic of China; Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China

S
Sergei Prokhorenko

Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, Arkansas 72701, USA

Y
Yousra Nahas

Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, Arkansas 72701, USA

H
Hongjun Xiang

Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China; Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, People's Republic of China

L
L. Bellaiche

Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, Arkansas 72701, USA

Funding
National Natural Science Foundation of China Award: 11825403
Defense Advanced Research Projects Agency Award: HR0011727183-D18AP00010
Natural Science Foundation of Anhui Province Award: 1908085MA10
Basic Energy Sciences Award: ER-46612
Cite This Article
Changsong Xu, Junsheng Feng, Sergei Prokhorenko, et al. (2020). Topological spin texture in Janus monolayers of the chromium trihalides Cr(I, X)3. Physical Review B, 101(6). https://doi.org/10.1103/physrevb.101.060404
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