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The semiclassical origin of curvature effects in universal spectral statistics

The semiclassical origin of curvature effects in universal spectral statistics

We consider the energy averaged two-point correlator of spectral determinants and calculate contributions beyond the diagonal approximation using semiclassical methods.Evaluating the contributions originating from pseudo-orbit correlations in the same way as in [S.Heusler et al. 2007 Phys.Rev. Lett.98, 044103] we find a discrepancy between the semiclassical and the random matrix …