Anderson Model on Bethe Lattices : Density of States, Localization Properties and Isolated Eigenvalue(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)

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概要

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• We revisit the Anderson localization problem on Bethe lattices, putting in contact various aspects which have been previously only discussed separately. For the case of connectivity 3 we compute by the cavity method, the density of states and the evolution of the mobility edge with disorder. Furthermore, we show that below a certain critical value of the disorder the smallest eigenvalue remains delocalized and separated by all the others (localized) ones by a gap. We also study the evolution of the mobility edge at the center of the band with the connectivity, and discuss the large connectivity limit.

• 2010-07-27

著者

• BIROLI Giulio

  IPhT,CEA

• SEMERJIAN Guilhem

  LPTENS,CNRS UMR 8549

• TARZIA Marco

  LPTMC-UPMC,UMR CNRS 7600

• Tarzia Marco

  Lptmc-upmc Umr Cnrs 7600

• Semerjian Guilhem

  Lptens Cnrs Umr 8549

• BIROLI Giulio

  IPhT,CEA:CNRS URA 2306

関連論文

• Anderson Model on Bethe Lattices : Density of States, Localization Properties and Isolated Eigenvalue(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)

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