Disordered two-dimensional electron systems with chiral symmetry
arXiv:1208.3934 · doi:10.1016/j.physb.2012.01.087
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.
References in corpus (5)
- Anderson Transitions
- Critical exponent for the quantum Hall transition
- Universality of the metal-insulator transition in three-dimensional disordered systems
- Exponents of the localization length in the 2D Anderson model with off-diagonal disorder
- Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices