Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-08-22
Phys. Rev. Lett. 106, 256803 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.106.256803
Localization properties of random-mass Dirac fermions for a realization of mass disorder, commonly referred to as Cho-Fisher model, is studied on the D-class chiral network. We show that a simple RG description captures accurately three phases: thermal metal and two insulators with quantized Hall conductances, as well as transitions between them (including critical exponents). We find that, with no randomness in phases on the links, transmission via 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 metallic fixed point is synchronized with evolution of signs of transmission coefficients, so that delocalization is accompanied with sign percolation
Mkhitaryan V. V.
Raikh Mikhail E.
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