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Cited by 144Quantum and electron transport phenomenaTopological Materials and PhenomenaTheoretical and Computational Physics

Three-Dimensional Disordered Conductors in a Strong Magnetic Field: Surface States and Quantum Hall Plateaus

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Chalker, J. T., Dohmen, A.·1995·Physical Review Letters
DOI 10.1103/physrevlett.75.4496
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Abstract

We study localization in layered, three-dimensional conductors in strong magnetic fields. We demonstrate the existence of three phases---insulator, metal, and quantized Hall conductor---in the two-dimensional parameter space obtained by varying the Fermi energy and the interlayer coupling strength. Transport in the quantized Hall conductor occurs via extended surface states. These surface states constitute a subsystem at a novel critical point, which we describe using a new, directed network model.

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Crossref · 10.1103/physrevlett.75.4496

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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 [75]

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Research works printed but not linked: 11

  1. [3]Cond. Matt. 6, 4289 (1994).
  2. [4]Suppl.26-3, 1913 (1987). [3] T. Haavasoja et al, Surf. Sci. 142 294 (1984). [4] H.L. St ormer et al, Phys. Rev. Lett. 56 85 (1986). [5] S.S.Murzin, Pis'ma Zh. Eksp. Teor. Fiz. 44, 45 (1986) [JETP Lett. 44, 56 (1986)]; U. Zeitler et al, J.Phys.
  3. [9]M.Y. Azbel, Solid State Commun. 54, 127 (1985); M.Y.
  4. [7](1994); Z.Q. Wang, D-H Lee, and X-G Wen, Phys. Rev. Lett. 72, 2454 (1994).
  5. [10]J.T.Chalker, P.D. Coddington, J. Phys. C 21, 2665 (1988).
  6. A. MacKinnon and B. Kramer, Phys. Rev. Lett. 47, 1546 (1981); Z. Phys. B53, 1 (1983). [14] Consider the interlayer coupling, ^ t, as a perturbation on localized eigenstates, and 0 in isolated layers. Let be the level spacing in a layer of area 2 2d . At the mobility edge, jh j ^ tj 0 ij , from the Thouless criterion. We expect jh j ^ tj 0 ij t=2d and hence t BnZr1 2d or jEj t 1= 2d at the transition. A similar argument is given in Ref [19],
  7. [12]H.A. Fertig and B.I. Halperin, Phys. Rev. B 36, 7969 (1987).
  8. [13]J.L. Pichard and G. Sarma, J. Phys C 17, 4111 (1981); but with jh j ^ tj 0 ij t, which leads to jEj t 1=2 2d , in con ict with our data.
  9. [15]D.E. Khmelnitskii, Phys. Lett. 106A, 182 (1984); R.B. Laughlin, Phys. Rev. Lett. 52, 2304 (1984).
  10. [15](1992); C. Barnes, B.L. Johnson and G. Kirczenow, Phys. Rev. Lett. 70, 1159 (1993).
  11. [18]J.L. Pichard and G. Andr e, Europhys. Lett. 2, 477 (1986); A.D. Stone et al in Mesoscopic Phenomena in

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Authors
Chalker, J. T., & Dohmen, A.
Affiliations
  • University of Oxford (GB)
  • University of Cologne (DE)
ORCID
Chalker, J. T.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1995-12-11
Volume
75
Issue
24
Pages
4496-4499
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.75.4496
OpenAlex
W2077268825
Cited by
144
References
25
Citations by year
2026: 2 · 2025: 2 · 2024: 1 · 2023: 2 · 2022: 1 · 2021: 5 · 2020: 3 · 2019: 4 · 2017: 4 · 2016: 9 · 2015: 1 · 2014: 5 · 2013: 1 · 2012: 4
FWCI
9.74
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (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 › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
Keywords
disordered conductors, high magnetic fields, localization, layered conductors, surface states, quantum Hall effect, Hall plateaus, interlayer coupling, critical points, insulator-metal transition, Fermi energy

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