Metal-insulator transition in a 2D system of chiral unitary class

Abstract

We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry class AIII by combining finite-size scaling, transport, density of states, and multifractality studies. The results are in agreement with the sigma-model renormalization-group theory, where MIT is driven by proliferation of vortices. We determine the phase diagram and find an apparent non-universality of several parameters on the critical line of MIT, which is consistent with the analytically predicted slow renormalization towards the ultimate fixed point of the MIT. The localization-length exponent $\nu$ is estimated as $\nu =1.55\pm 0.10$.

arXiv comment11 pages, 10 figures

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