Statistical properties of a localization-delocalization transition in one dimension

1998/06/18 by M. Steiner, Yang Chen, M. Fabrizio +1 · 1 citation
Materials Science · Physics and Astronomy · #Organic and Molecular Conductors Research #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.59.14848

4 pages, RevTeX, 1 fig

arxiv created 1998/06/18 · openalex publication_date 1999/06/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalization transition at half-filling. Exact probability distribution functions for the Wigner time and transmission coefficient are calculated. We identify and distinguish those features of probability densities that are due to rare trapping configurations of the random potential from those which are due to the proximity to the delocalization transition.

Citations

• Logarithmic operators and dynamical extension of the symmetry group in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Lower Limit for the Energy Derivative of the Scattering Phase Shift

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• Breaking supersymmetry in a one-dimensional random Hamiltonian