LEVEL CORRELATIONS IN DISORDERED METALS : THE REPLICA SIGMA MODEL
LEVEL CORRELATIONS IN DISORDERED METALS : THE REPLICA SIGMA MODEL
复制标题
无序金属中的能级相关性：复制西格玛模型
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
M. Mézard
中科院分区：
文献类型：
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作者：
A. Kamenev;M. Mézard
我们使用费米子副本方法计算弱无序金属颗粒的能级关联。我们使用标准的西格玛模型的方法，并表明，非平凡的鞍点，打破副本对称性，必须包括在计算中重现的振荡行为的相关性。我们计算的相关函数在所有三个经典的合奏GOE，GUE和GSE包括有限维梯度校正。我们的结果与超对称σ模型和半经典迹公式的结果一致。
We compute energy level correlations in weakly disordered metallic grains using the fermionic replica method. We use the standard sigma-model approach and show that non--trivial 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 GOE, GUE and GSE including the finite-dimensional gradient corrections. Our results coincides with those obtained by the supersymmetric sigma-model and the semi-classical trace formula.