Finite Size Effects on Helical Edge States in a Quantum Spin-Hall System
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The hallmark of the spin-Hall insulator is the presence of gapless edge states of different spins moving in opposite directions. Through analytical solutions in a model calculation for a strip of finite width, we find that edge states on the two sides can couple together to produce a gap in the spectrum, destroying the quantum spin-Hall effect. The application of a magnetic field can however modify and even remove the gap by shifting the momenta of the edge states relative to each other.
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In the thin film limit, the three-dimensional topological insulator model reduces exactly to the two-dimensional topological insulator model by BHZ.
“Interestingly, in the thin film limit, the 3D TI model reduces exactly to the 2D TI model by BHZ[32-34].”
From Model Hamiltonian for topological insulators (2010) · cites this paper as [33]
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Sorted by citations
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Self-citation
- Authors
- Zhou, B., Lu, H.-Z., Chu, R.-L., Shen, S.-Q., & Niu, Q.
- Affiliations
- Hubei University (CN)
- University of Hong Kong (HK)
- The University of Texas at Austin (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-12-10
- Volume
- 101
- Issue
- 24
- Pages
- 246807-246807
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1588292107
- Cited by
- 494
- References
- 23
- Citations by year
- 2026: 16 · 2025: 20 · 2024: 29 · 2023: 26 · 2022: 19 · 2021: 30 · 2020: 21 · 2019: 26 · 2018: 26 · 2017: 37 · 2016: 34 · 2015: 41 · 2014: 39 · 2013: 33 · 2012: 36
- FWCI
- 11.75
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- The HKU Scholars Hub (University of Hong Kong) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- quantum spin Hall effect, helical edge states, finite-size effects, magnetic field effects, quantum spin Hall insulator
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