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Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states.
Open accessAbstract
We study Aharonov-Bohm (AB) conductance oscillations arising from the surface states of a topological insulator nanowire, when a magnetic field is applied along its length. With strong surface disorder, these oscillations are predicted to have a component with anomalous period Φ(0)=hc/e, twice the conventional period. The conductance maxima are achieved at odd multiples of 1/2Φ(0), implying that a π AB phase for electrons strengthens the metallic nature of surface states. This effect is special to topological insulators, and serves as a defining transport property. A key ingredient, the surface curvature induced Berry phase, is emphasized here. We discuss similarities and differences from recent experiments on Bi2Se3 nanoribbons, and optimal conditions for observing this effect.
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“The 1 2 is interpreted as it is in the case of topological insulator nanoribbons (Peng et al. , 2010) as indicative of a π Berry's phase (Bardarson et al. , 2010; Zhang and Vishwanath, 2010).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Zhang and Vishwanath, 2010
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Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Weyl and Dirac semimetals in three-dimensional solids
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“The 12 is interpreted as it is in the case of topological insulator nanoribbons (Peng et al., 2010) as indicative of a π Berry’s phase (Bardarson et al., 2010; Zhang and Vishwanath, 2010).”
BackgroundSelf-citationThree-Dimensional Topological Insulators
Hasan, M. Z., & Moore, J. E. (2011) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-062910-140432 · Cited by 699
Experimental perspective on three-dimensional topological semimetals
Lv, B., Qian, T., & Ding, H. Q. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025002 · Cited by 632
Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond
Cohen, E., Larocque, H., Bouchard, F., Nejadsattari, F., Gefen, Y., & Karimi, E. (2019) · Nature Reviews Physics · doi:10.1038/s42254-019-0071-1 · Cited by 335
Metadata
- Authors
- Zhang, Y., & Vishwanath, A.
- Affiliations
- Lawrence Berkeley National Laboratory (US)
- ORCID
- Vishwanath, Ashvin
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-11-11
- Volume
- 105
- Issue
- 20
- Pages
- 206601-206601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2009995782
- Cited by
- 180
- References
- 20
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 6 · 2023: 12 · 2022: 12 · 2021: 17 · 2020: 17 · 2019: 12 · 2018: 16 · 2017: 11 · 2016: 13 · 2015: 11 · 2014: 10 · 2013: 14 · 2012: 9
- FWCI
- 6.17
- 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 › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Surface and Thin Film Phenomena
- Keywords
- Aharonov-Bohm effect, conductance oscillations, topological insulator surface states, topological insulator nanowires, surface disorder, Berry phase, surface curvature, quantum Hall effect
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