2002/06/16 by Takahiro Fukui, T. Fukui, Fukui, T.
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Spectral Theory in Mathematical Physics #Statistical Mechanics (cond-mat.stat-mech) #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0206297
10 pages, no figures
arxiv created 2002/06/16 · openalex publication_date 2002/06/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a Dirac fermion model with three kinds of disorder as well as a marginal interaction which forms the critical line of c=1 conformal field theory. Computing scaling equations by the use of a perturbative renormalization group method, we investigate how such an interaction affects the universality classes of disordered systems with non-interacting fermions. We show that some specific fixed points are stable against an interaction, whereas others are unstable and flow to new random critical points with a finite interaction.