Extended states on the landau levels with disorder

S. A. Gredeskul; Y. Avishai; M. Ya Azbel

doi:10.1209/0295-5075/21/4/018

Extended states on the landau levels with disorder

S. A. Gredeskul, Y. Avishai, M. Ya Azbel

Department of Physics

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15 Scopus citations

Abstract

We study an electron in a two-dimensional system of random point scatterers placed on the sites of a regular square lattice subject to a perpendicular magnetic field B. When theenergy equals the Landau energy ε_n (B) (n - 0,1,…) above a certain magnetic field B_n (whichcorresponds to the presence of n + 1 flux quanta φ₀ = hc/e per an elementary square) we findanalytically disorder-independent extended eigenstates.

Original language	English
Pages (from-to)	489-494
Number of pages	6
Journal	Europhysics Letters
Volume	21
Issue number	4
DOIs	https://doi.org/10.1209/0295-5075/21/4/018
State	Published - 1 Feb 1993

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N2 - We study an electron in a two-dimensional system of random point scatterers placed on the sites of a regular square lattice subject to a perpendicular magnetic field B. When theenergy equals the Landau energy εn (B) (n - 0,1,…) above a certain magnetic field Bn (whichcorresponds to the presence of n + 1 flux quanta φ0 = hc/e per an elementary square) we findanalytically disorder-independent extended eigenstates.

AB - We study an electron in a two-dimensional system of random point scatterers placed on the sites of a regular square lattice subject to a perpendicular magnetic field B. When theenergy equals the Landau energy εn (B) (n - 0,1,…) above a certain magnetic field Bn (whichcorresponds to the presence of n + 1 flux quanta φ0 = hc/e per an elementary square) we findanalytically disorder-independent extended eigenstates.

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Extended states on the landau levels with disorder

Abstract

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