Symmetry, dimension, and the distribution of the conductance at the mobility edge

2001/04/20 by Marc Ruhlander, Marc Rühländer, P. Markoš +2 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.64.212202

4 pages REVTeX, 5 figures and 2 tables included

arxiv created 2001/04/20 · openalex publication_date 2001/11/12 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The probability distribution of the conductance at the mobility edge, p_c(g), in different universality classes and dimensions is investigated numerically for a variety of random systems. It is shown that p_c(g) is universal for systems of given symmetry, dimensionality, and boundary conditions. An analytical form of p_c(g) for small values of g is discussed and agreement with numerical data is observed. For g>1, lnp_c(g) is proportional to (g\ensuremath-1) rather than (g\ensuremath-1)².

Citations

• The Anderson Transition: Time Reversal Symmetry and Universality
• Topology Dependent Quantities at the Anderson Transition

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