Spin—Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems
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For nearly free electrons, the method yields the same results as in Refs. [3,15], except that the off-diagonal elements are swapped in the latter reference.
“Similarly, some simple algebra yields the same results as in Refs. [3, 15] for nearly free electrons listed in Table I (except that the off-diagonal elements are swapped in the latter reference).”
From Unified description of<i>Zitterbewegung</i>for spintronic, graphene, and superconducting systems (2006) · cites this paper as [15]
The open boundary condition ψ(0)=0 together with normalizability leads to the existence condition of surface states, Rλ1,2<0 (c=d=0) or Rλ1,2>0 (a=b=0), which can only be satisfied with the band inversion condition M0 M1 < 0.
“Similar to the Ref. [31], the open boundary condition ψ (0) = 0, together with the normalizability of the wave function in the region z > 0, leads to the existence condition of the surface states, ℜ λ 1 , 2 < 0 ( c = d = 0) or ℜ λ 1 , 2 > 0 ( a = b = 0), which can only be satisfied with the band inversion condition M 0 M 1 < 0.”
From Model Hamiltonian for topological insulators (2010) · cites this paper as [31]
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Inversion-Asymmetry-Induced Spin Splitting
Winkler, R. (2003) · Springer tracts in modern physics · doi:10.1007/978-3-540-36616-4_6 · Cited by 15 · see citing works
Self-citationOrigin of Spin--Orbit Coupling Effects
Winkler, R. (2003) · Springer tracts in modern physics · doi:10.1007/978-3-540-36616-4_5 · Cited by 8 · see citing works
Self-citationAnisotropic Zeeman Splitting in Quasi-2D Systems
Winkler, R. (2003) · Springer tracts in modern physics · doi:10.1007/978-3-540-36616-4_7 · Cited by 3 · see citing works
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Topological insulators and superconductors
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Zhang, H., Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z., & Zhang, S.-C. (2009) · Nature Physics · doi:10.1038/nphys1270 · Cited by 6,359 · see citing works
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Majorana fermions in a tunable semiconductor device
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Spin Transverse Force on Spin Current in an Electric Field
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- Authors
- Winkler, R.
- Affiliations
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Corresponding author
- Winkler, Roland
- ORCID
- Winkler, Roland
- Venue
- Springer Tracts in Modern Physics
- Publisher
- Springer Berlin Heidelberg
- Published
- 2003
- ISSN
- 0081-3869 (ISSN-L)
- 1615-0430
- OpenAlex
- W388025755
- Cited by
- 2,489
- References
- 4
- Citations by year
- 2026: 72 · 2025: 80 · 2024: 103 · 2023: 123 · 2022: 121 · 2021: 115 · 2020: 116 · 2019: 115 · 2018: 140 · 2017: 143 · 2016: 151 · 2015: 145 · 2014: 150 · 2013: 143 · 2012: 138
- FWCI
- 9.25
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Springer tracts in modern physics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Semiconductor Quantum Structures and Devices
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
- Keywords
- spin-orbit coupling, two-dimensional electron systems, two-dimensional hole systems, spin splitting, inversion asymmetry, spin degrees of freedom, orbital environment
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