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We study level correlations of disordered systems with chiral unitarysymmetry (AIII symmetry). We use a random matrix model with a finitecorrelation length to derive a supersymmetric nonlinear sigma model. The resultis compared with existing results based on other models. Using the methods byKravtsov and Mirlin (Pis'ma Zh. Eksp. Teor. Fiz. 60, 645 (1994) [JETP Lett. 60,656 (1994)]) and Andreev and Altshuler [Phys. Rev. Lett. 75, 902 (1995)], wecalculate the density of states and two-level correlation function. The resultis expressed using the spectral determinant as in traditional nonchiralsystems. We discuss the renormalization of the mean level spacing which is notpresent in the traditional systems.Comment: 21 pages, no figures; substantially revised and expanded; minor  change

physical review. e, statistical, nonlinear and soft matter physics

Nonlinear<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>model approach for level correlations in chiral disordered systems

Nonlinearσmodel approach for level correlations in chiral disordered systems