1995/07/12 by Jukka A. Ketoja, Ketoja, Jukka A., Indubala I. Satija +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum many-body systems #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9507036
4 pages, RevTeX, 3 figures included
arxiv created 1995/07/12 · openalex publication_date 1995/07/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The tight binding model for an electron on an anisotropic triangular lattice in a uniform magnetic field is studied using a decimation scheme. The model exhibits a transition from critical to localized phase and the phase diagram is described in terms of three nontrivial renormalization fixed points for the band edges. These subcritical, critical, and supercritical universality classes also describe the corresponding states of the quantum Ising chain in a modulating transverse field. The only exception is the conformally invariant point of the Ising model which has no analog in the electron problem.