2010/08/22 by V. V. Mkhitaryan, M. E. Raikh, M. É. Raǐkh
Mathematics · Physics and Astronomy · #Condensed matter physics #Dirac (video compression format) #Dirac fermion #Electrical resistivity and conductivity #Fermion #Mathematics #Percolation (cognitive psychology) #Percolation threshold #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Randomness #Renormalization group #Statistical physics #Statistics #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.106.256803
published as Phys. Rev. Lett. 106, 256803 (2011) · 5 pages, 4 figures
arxiv created 2010/08/22 · openalex publication_date 2011/06/22 · arxiv updated 2012/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Localization properties of random-mass Dirac fermions for a realization of mass disorder, commonly referred to as the Cho-Fisher model, are studied on the D-class chiral network. We show that a simple renormalization group (RG) description captures accurately a rich phase diagram: thermal metal and two insulators with quantized σ(xy), as well as transitions (including critical exponents) between them. Our main finding is that, even with small transmission of nodes, the RG block exhibits a sizable portion of perfect resonances. Delocalization occurs by proliferation of these resonances to larger scales. Evolution of the thermal conductance distribution towards a metallic fixed point is synchronized with evolution of signs of transmission coefficients, so that delocalization is accompanied with sign percolation.