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Volumn 72, Issue 10, 1994, Pages 1510-1513

Unified model for two localization problems: Electron states in spin-degenerate Landau levels and in a random magnetic field

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Indexed keywords

EID: 0001028396 PISSN: 00319007 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevLett.72.1510 Document Type: Article

Times cited : (144)

References (27)

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- Effect of a nonuniform magnetic field on a two-dimensional electron gas in the ballistic regime
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- Müller, J.E.¹

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26
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- At the point sinh theta1 = sinh theta2 = 1, the line representing the random field problem crosses that representing a spin degenerate Landau level at the midpoint in energy of the Landau level. Here, we have the apparently paradoxical requirement that the average Hall conductivity be zero for the former system, but e2/h for the latter. The paradox is resolved by noting that different boundary conditions apply in the two cases. Edge states carry no Hall current in the first case, but contribute unit Hall conductance in the second case. See, Ref. 16

27
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- Khmel'nitskii, D.E.¹

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