Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
Open accessAbstract
Spin-orbit coupled systems generally break the spin rotation symmetry. However, for a model with equal Rashba and Dresselhauss coupling constants, and for the [110] Dresselhauss model, a new type of SU(2) spin rotation symmetry is discovered. This symmetry is robust against spin-independent disorder and interactions and is generated by operators whose wave vector depends on the coupling strength. It renders the spin lifetime infinite at this wave vector, giving rise to a persistent spin helix. We obtain the spin fluctuation dynamics at, and away from, the symmetry point and suggest experiments to observe the persistent spin helix.
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The successful introduction of liquid crystal molecules into microcavities sustains synthetic spin-orbit coupling with broad tunability and realization of the RD Hamiltonian.
“More recently, the successful introduction of liquid crystal (LC) molecules into microcavities has been shown to sustain synthetic spinorbit coupling with broad tunability and realization of the RD Hamiltonian [23-26].”
From Trembling Motion of Exciton Polaritons Close to the Rashba-Dresselhaus Regime (2024) · cites this paper as [24]
The paper discusses a Rashba–Dresselhaus Hamiltonian for a two-dimensional electron gas and says the Rashba coupling may be tuned with an applied electric field (p. 1). It does not report introducing liquid crystals into microcavities or demonstrating tunable synthetic spin-orbit coupling in that setting. (LLM, conf=0.86)
Experimental — accuracy not yet measuredTuning is directly achieved by applying an electrical field to rotate LC molecules, allowing precise perturbation of the RD Hamiltonian and providing a novel on-chip platform with dynamical tunability for complete emulation of ZB and further relativistic quantum effects at room temperature.
“Tuning is directly achieved by applying an electrical field to rotate the LC molecules, which allows to precisely perturb the RD Hamiltonian and provides a novel on-chip platform with dynamical tunability for the complete emulation of the ZB effect and further relativistic quantum effects at room temperature.”
From Trembling Motion of Exciton Polaritons Close to the Rashba-Dresselhaus Regime (2024) · cites this paper as [24]
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Cited by
Sorted by citations
Majorana fermions in a tunable semiconductor device
Alicea, J. (2010) · Physical Review B · doi:10.1103/physrevb.81.125318 · Cited by 1,205 · see citing works
The Quantum Anomalous Hall Effect: Theory and Experiment
Liu, C.-X., Zhang, S.-C., & Qi, X.-L. (2016) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031115-011417 · Cited by 617 · see citing works
Self-citationDriven Dirac-like equation via mirror oscillation: Controlled cold-atom Zitterbewegung
Zhang, Q., Gong, J., & Oh, C. H. (2010) · Physical Review A · doi:10.1103/physreva.81.023608 · Cited by 27 · see citing works
Trembling Motion of Exciton Polaritons Close to the Rashba-Dresselhaus Regime
Wen, W., Liang, J., Xu, H., Jin, F., Rubo, Y. G., Liew, T. C. H., & Su, R. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.116903 · Cited by 17 · see citing works
“…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].”
Background
- Authors
- Bernevig, B. A., Orenstein, J., & Zhang, S.-C.
- Affiliations
- Princeton University (US)
- Lawrence Berkeley National Laboratory (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-12-04
- Volume
- 97
- Issue
- 23
- Pages
- 236601-236601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2165423495
- Cited by
- 589
- References
- 0
- Citations by year
- 2026: 24 · 2025: 47 · 2024: 34 · 2023: 42 · 2022: 35 · 2021: 31 · 2020: 35 · 2019: 26 · 2018: 19 · 2017: 32 · 2016: 31 · 2015: 29 · 2014: 29 · 2013: 14 · 2012: 28
- FWCI
- 14.63
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Bulletin of the American Physical Society
- 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 › Magnetic properties of thin films
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Keywords
- persistent spin helix, spin-orbit coupling, Rashba spin-orbit coupling, spin lifetime
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