A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field

ArXiv cond-mat/9311050 (1993)

Authors:

DKK Lee, JT Chalker

Abstract:

A single model is presented which represents both of the two apparently unrelated localisation problems of the title. The phase diagram of this model is examined using scaling ideas and numerical simulations. It is argued that the localisation length in a spin-degenerate Landau level diverges at two distinct energies, with the same critical behaviour as in a spin-split Landau level, and that all states of a charged particle moving in two dimensions, in a random magnetic field with zero average, are localised.

EQUILIBRIUM DISTRIBUTIONS OF STOCHASTIC NETWORKS WITHOUT DETAILED BALANCE

PHYSICA A 200:1-4 (1993) 602-607

Authors:

ACC COOLEN, D SHERRINGTON

SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model

(1993)

Authors:

Fabian HL Essler, Vladimir E Korepin

Massless integrable quantum field theories and massless scattering in 1+1 dimensions

(1993)

Authors:

P Fendley, H Saleur

Kinks in the Kondo problem.

Physical review letters 71:15 (1993) 2485-2488