Anderson-Mott Transition as a Random-Field Problem

1994/08/03 by T. R. Kirkpatrick, D. Belitz
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevlett.74.1178

8pp, REVTeX, db/94/3

arxiv created 1994/08/03 · openalex publication_date 1995/02/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The Anderson-Mott transition of disordered interacting electrons is shown to share many physical and technical features with classical random-field systems. A renormalization group study of an order parameter field theory for the Anderson-Mott transition shows that random-field terms appear at one-loop order. They lead to an upper critical dimension d_c⁺=6 for this model. For d>6 the critical behavior is mean-field-like. For d<6 an \ensuremathε expansion yields exponents that coincide with those for the random-field Ising model. Implications of these results are discussed.

Citations

• The renormalization group and the ε expansion
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions