Logarithmic correlations in quantum Hall plateau transitions

Article

关键词: NONLINEAR SIGMA-MODELS;    ANOMALOUS DIMENSIONS;    CRITICAL EXPONENTS;    POTTS-MODEL;    SPIN CHAINS;    LOCALIZATION;    PERCOLATION;    REPRESENTATIONS;    DIFFUSION;    ALGEBRAS;   

DOI  :  10.1103/PhysRevB.92.014205

来源: SCIE

【 摘 要 】

The critical behavior of quantum Hall transitions in two-dimensional disordered electronic systems can be described by a class of complicated, nonunitary conformal field theories with logarithmic correlations. The nature and the physical origin of these logarithmic correlation functions remain, however, mysterious. Using the replica trick and the underlying symmetries of these quantum critical points, we show here how to construct nonperturbatively disorder-averaged observables in terms of Green's functions that scale logarithmically at criticality. In the case of the spin quantum Hall transition, which may occur in disordered superconductors with spin-rotation symmetry and broken time reversal invariance, we argue that our results are compatible with an alternative approach based on supersymmetry. The generalization to the integer quantum Hall plateau transition is also discussed.

【 授权许可】

Free