Disordered two-dimensional electron systems with chiral symmetry

Abstract

We review the results of our recent numerical investigations on the electronic properties of disordered two dimensional systems with chiral unitary, chiral orthogonal, and chiral symplectic symmetry. Of particular interest is the behavior of the density of states and the logarithmic scaling of the smallest Lyapunov exponents in the vicinity of the chiral quantum critical point in the band center at E=0. The observed peaks or depressions in the density of states, the distribution of the critical conductances, and the possible non-universality of the critical exponents for certain chiral unitary models are discussed.

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Cited by in corpus (7)

• Dirac Spectra of 2-dimensional QCD-like theories
• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Metal-insulator transition in a 2D system of chiral unitary class
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Scaling at chiral quantum critical points in two dimensions
• Time-Reversal Symmetry Breaking and Decoherence in Chaotic Dirac Billiards
• The scaling behaviour of localised and extended states in one-dimensional tight-binding models with disorder