Chiral Surface States in the Bulk Quantum Hall Effect
Open accessAbstract
In layered samples which exhibit a bulk quantum Hall effect (QHE), a two-dimensional (2D) surface ``sheath'' of gapless excitations is expected. These excitations comprise a novel 2D chiral quantum liquid which should dominate the low temperature transport along the field ( $z$ axis). For the integer QHE, we show that localization effects are completely absent in the ``sheath,'' giving a metallic $z$-axis conductivity. For fractional filling $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1/3$, the sheath is a 2D non-Fermi-liquid, with incoherent $z$-axis transport and ${\ensuremath{\sigma}}_{\mathrm{zz}}\ensuremath{\sim}{T}^{3}$. Experimental implications for the Bechgaard salts are discussed.
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The edge of the three-dimensional IQHE can form a two-dimensional chiral metal, as the chiral modes from each IQHE combine and point in the same direction.
“The edge of this three-dimensional IQHE is quite interesting: it can form a two-dimensional chiral metal, as the chiral modes from each IQHE (74) combine and point in the same direction. (75,76)”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [76]
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- Authors
- Balents, L., & Fisher, M. P. A.
- Affiliations
- University of California, Santa Barbara (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1996-04-08
- Volume
- 76
- Issue
- 15
- Pages
- 2782-2785
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2069125870
- Cited by
- 138
- References
- 15
- Citations by year
- 2026: 4 · 2025: 1 · 2024: 5 · 2023: 3 · 2022: 4 · 2021: 7 · 2020: 4 · 2019: 8 · 2018: 3 · 2017: 6 · 2016: 5 · 2015: 4 · 2014: 3 · 2013: 3 · 2012: 6
- FWCI
- 8.88
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- APS March Meeting Abstracts
- 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 › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- chiral surface states, fractional filling, 1/3 filling, incoherent transport, Bechgaard salts
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