2007/10/15 by Oskar Vafek, Matthew Case, Matthew J. Case · 3 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.77.033410
published as Phys. Rev. B 77, 033410 (2008) · 4 pages, 4 figures
arxiv created 2007/10/15 · openalex publication_date 2008/01/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We argue that massless Dirac particles in two spatial dimensions with 1∕r Coulomb repulsion and quenched random gauge field are described by a manifold of fixed points which can be accessed perturbatively in disorder and interaction strength, thereby confirming and extending the results of Herbut, Juricic, and Vafek [arXiv:0707.4171 (unpublished)]. At small interaction and small randomness, there is an infrared stable fixed curve which merges with the strongly interacting infrared unstable line at a critical endpoint, along which the dynamical critical exponent z=1.