Energy-level correlations in chiral symmetric disordered systems: Corrections to the universal results

Abstract

We investigate the deviation of the level-correlation functions from the universal form for the chiral symmetric classes. Using the supersymmetric nonlinear sigma model we formulate the perturbation theory. The large energy behavior is compared with the result of the diagrammatic perturbation theory. We have the diffuson and cooperon contributions even in the average density of states. For the unitary and orthogonal classes we get the small energy behavior that suggests a weakening of the level repulsion. For the symplectic case we get a result with opposite tendency.

7 pages, revtex, 2 eps figures, references added, some minor changes

References in corpus (4)

• Effective Field Theory of the Random Flux Model
• The Spectral Density of the QCD Dirac Operator and Patterns of Chiral Symmetry Breaking
• Antilocalization in a 2D Electron Gas in a Random Magnetic Field
• Stochastic field theory for a Dirac particle propagating in gauge field disorder

Cited by in corpus (4)

• Anderson transition in systems with chiral symmetry
• Distribution of the local density of states, reflection coefficient and Wigner delay time in absorbing ergodic systems at the point of chiral symmetry
• Electronic States in One, Two, and Three Dimensional Highly Amorphous Materials: A Tight Binding Treatment
• Nonlinear sigma model approach for level correlations in chiral disordered systems