Spin-Orbit Coupling Effects in Zinc Blende Structures
Abstract
Character tables for the "group of the wave vector" at certain points of symmetry in the Brillouin zone are given. The additional degeneracies due to time reversal symmetry are indicated. The form of energy vs wave vector at these points of symmetry is derived. A possible reason for the complications which may make a simple effective mass concept invalid for some crystals of this type structure will be presented.
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For nearly free electrons, the ZB oscillations of the average electron position have a transient character, disappearing with time on a femtosecond scale, with frequency ω_Z = E_g/ħ, where E_g = 2|V_q|.
“The essential result is that, in agreement with Lock general predictions [6], the ZB oscillations of the average electron position have a transient character, i.e. they disappear with time on a femtosecond scale. The frequency of oscillations is ω Z = E g / ℏ , where E g = 2 | V q | .”
From Zitterbewegung (trembling motion) of electrons in semiconductors: a review (2011) · cites this paper as [31]
The trembling motion disappears in highly symmetric systems, notably the two-dimensional particle in the RD regime; the absence of ZB is a consequence of SU(2) symmetry of the Hamiltonian and commuting velocity components.
“The trembling motion disappears in highly symmetric systems, and a notable example is the two-dimensional particle in the Rashba-Dresselhaus (RD) regime, which has been first discussed for electrons in quantum wells with the Rashba [18, 19] and the Dresselhaus [20] spinorbital couplings of equal strength [21, 22].”
From Trembling Motion of Exciton Polaritons Close to the Rashba-Dresselhaus Regime (2024) · cites this paper as [22]
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“…disappears in highly symmetric systems, and a notable example is the two-dimensional particle in the Rashba-Dresselhaus (RD) regime, which has been first discussed for electrons in quantum wells with the Rashba [18, 19] and the Dresselhaus [20] spin-∗ orbital couplings of equal strength [21, 22].”
BackgroundSpin orbit interaction and zitterbewegung in symmetric wells
Bernardes, E., Schliemann, J., Egues, C., & Loss, D. (2006) · physica status solidi c · doi:10.1002/pssc.200672855 · Cited by 12 · see citing works
- Authors
- Dresselhaus, G.
- Affiliations
- University of California, Berkeley (US)
- Corresponding author
- Dresselhaus, G.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1955-10-15
- Volume
- 100
- Issue
- 2
- Pages
- 580-586
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2044801920
- Cited by
- 3,695
- References
- 0
- Citations by year
- 2026: 100 · 2025: 144 · 2024: 131 · 2023: 160 · 2022: 163 · 2021: 159 · 2020: 164 · 2019: 139 · 2018: 164 · 2017: 161 · 2016: 156 · 2015: 151 · 2014: 158 · 2013: 146 · 2012: 155
- FWCI
- 10.53
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review (publishedVersion)
- 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 › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- spin-orbit coupling, zinc-blende structure, Brillouin zone symmetry points, time-reversal symmetry, degeneracy, energy dispersion, effective mass, semiconductor crystals
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