Coriolis force, geometric phase, and spin-electric coupling in semiconductors
Open accessAbstract
We consider the response of the effective spin of a charge carrier in semiconducting systems to an adiabatic rotation of its crystal momentum induced by an electric field. We demonstrate that the rotational distortion of the Bloch wave functions can be represented by the action of a Coriolis pseudoforce that is responsible for a torque acting on the orbital momentum of the particle. Mediated by spin-orbit coupling in the valence band, this perturbation leads to spin rotation that may affect the coherent transport properties of a charge carrier and cause a spin precession in zero magnetic fields. These effects may be also interpreted as a manifestation of, in general, a non-Abelian gauge potential and can be described in purely geometric terms as a consequence of the corresponding holonomy. In the conduction band of wide-gap semiconductors, the derived strength of the associated covariant gauge field is proportional to the effective electron $g$ tensor and, hence, is controllable by gate fields or a strain applied to the crystal. The obtained effective spin Hamiltonians of the carriers in the conduction and light-hole bands are homologous to the Rashba Hamiltonian.
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The spin-orbit Lagrangian can be treated as the angular Doppler effect term, which describes the phase shift of the wave carrying intrinsic angular momentum Σ and undergoing rotational evolution with angular frequency Ω.
“At the same time, Eq. (3.14) shows that it can be treated as the angular Doppler effect term, which describes the phase shift of the wave carrying intrinsic angular momentum Σ and undergoing rotational evolution with angular frequency Ω [68 -80].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [69]
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- Authors
- Serebrennikov, Y. A.
- Corresponding author
- Serebrennikov, Yuri A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2006-05-19
- Volume
- 73
- Issue
- 19
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2086119987
- Cited by
- 9
- References
- 36
- Citations by year
- 2026: 1 · 2025: 1 · 2012: 1
- FWCI
- 1.08
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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 › Topological Materials and Phenomena
- Keywords
- Coriolis force, Berry phase, spin-electric coupling, spin-orbit coupling, spin precession, non-Abelian gauge potentials, holonomy, effective spin Hamiltonian, g-tensor, strain engineering, wide bandgap semiconductors, light-hole band, conduction band, coherent transport
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