A classification of 2D random Dirac fermions

2001/09/30 by Denis Bernard, André LeClair, Andre' LeClair
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1088/0305-4470/35/11/303

published as J. Phys A35 (2002) 2555-2567 · 15 pages, version2: typos in the table of classes are corrected

openalex publication_date 2002/03/08 · arxiv created 2003/12/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We present a detailed classification of random Dirac Hamiltonians in two spatial dimensions based on the implementation of discrete symmetries. Our classification is slightly finer than that of random matrices and contains 13 classes. We also extend this classification to non-Hermitian Hamiltonians with and without a Dirac structure.

Citations

• Freezing transitions and the density of states of two-dimensional random Dirac Hamiltonians
• Termination of Multifractal behavior for Critical Disordered Dirac Fermions
• Quasiparticle density of states in dirty high-Tcsuperconductors
• Quasiparticle Transport and Localization in High-TcSuperconductors
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Percolation, quantum tunnelling and the integer Hall effect