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 language | English |
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Pages (from-to) | 3955-3962 |
Number of pages | 8 |
Journal | Physical Review B |
Volume | 60 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Aug 1999 |