Nonperturbative results for level correlations from the replica nonlinear σ model

Igor Yurkevich, Igor Lerner

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We show that for all three standard symmetry classes (unitary, orthogonal, and symplectic), the conventional replica nonlinear sigma model gives the correct nonperturbative result for the two-level correlation functions R-2(omega) of electrons in disordered metals in the limit of large omega. In this limit, nonperturbative oscillatory contributions arise from a degenerate saddle-point manifold within this sigma model that correspond to the replica-symmetry breaking. Moreover, we demonstrate that in the unitary case the very same results can be extracted from the exact integral representation for R-2(omega) used by Verbaarschot and Zirnbauer [J. Phys. A 17, 1093 (1985)] to criticize the replica trick. [S0163-1829(99)01330-2].
Original languageEnglish
Pages (from-to)3955-3962
Number of pages8
JournalPhysical Review B
Volume60
Issue number6
DOIs
Publication statusPublished - 1 Aug 1999

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