TY - JOUR
T1 - Level correlations in disordered metals
T2 - The replica σ model
AU - Kamenev, Alex
AU - Mézard, Marc
PY - 1999
Y1 - 1999
N2 - We compute energy-level correlations in weakly disordered metallic grains using the fermionic replica method. We use the standard σ-model approach and show that nontrivial saddle points, which break replica symmetry, must be included in the calculation to reproduce the oscillatory behavior of the correlations. We calculate the correlation functions in all three classical ensembles Gaussian-orthogonal, -unitary, and -sympletic, including the finite-dimensional gradient corrections. Our results coincide with those obtained by the supersymmetric σ model and the semiclassical trace formula.
AB - We compute energy-level correlations in weakly disordered metallic grains using the fermionic replica method. We use the standard σ-model approach and show that nontrivial saddle points, which break replica symmetry, must be included in the calculation to reproduce the oscillatory behavior of the correlations. We calculate the correlation functions in all three classical ensembles Gaussian-orthogonal, -unitary, and -sympletic, including the finite-dimensional gradient corrections. Our results coincide with those obtained by the supersymmetric σ model and the semiclassical trace formula.
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U2 - 10.1103/PhysRevB.60.3944
DO - 10.1103/PhysRevB.60.3944
M3 - Article
AN - SCOPUS:15944363170
SN - 1098-0121
VL - 60
SP - 3944
EP - 3954
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 6
ER -