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Cited by 450

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Large spin splitting in the conduction band of transition metal dichalcogenide monolayers

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Kośmider, K., González, J. W., Fernández-Rossier, J.·2013·Physical Review B

Abstract

We study the conduction band spin splitting that arises in transition metal dichalcogenide (TMD) semiconductor monolayers such as MoS${}_{2}$, MoSe${}_{2}$, WS${}_{2}$, and WSe${}_{2}$ due to the combination of spin-orbit coupling and lack of inversion symmetry. Two types of calculation are done. First, density functional theory (DFT) calculations based on plane waves that yield large splittings, between 3 and 30 meV. Second, we derive a tight-binding model that permits to address the atomic origin of the splitting. The basis set of the model is provided by the maximally localized Wannier orbitals, obtained from the DFT calculation, and formed by 11 atomiclike orbitals corresponding to $d$ and $p$ orbitals of the transition metal (W, Mo) and chalcogenide (S, Se) atoms respectively. In the resulting Hamiltonian, we can independently change the atomic spin-orbit coupling constant of the two atomic species at the unit cell, which permits to analyze their contribution to the spin splitting at the high symmetry points. We find that---in contrast to the valence band---both atoms give comparable contributions to the conduction band splittings. Given that these materials are most often $n$-doped, our findings are important for developments in TMD spintronics.

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Metadata

Authors
Kośmider, K., González, J. W., & Fernández-Rossier, J.
Venue
Physical Review B
Published
2013-12-23
Volume
88
Issue
24
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W2042688191
Cited by
450
References
11
FWCI
9.62
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Large spin splitting in the conduction band of transition metal dichalcogenide monolayers. https://app.cochat.ai/papers/10.1103/physrevb.88.245436
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Kośmider, K., González, J. W., & Fernández-Rossier, J. (2013). Large spin splitting in the conduction band of transition metal dichalcogenide monolayers. Physical Review B. https://doi.org/10.1103/physrevb.88.245436

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