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math-ph2021★ 7 cited
Winding Number Statistics of a Parametric Chiral Unitary Random Matrix Ensemble
Petr Braun, Nico Hahn, Daniel Waltner +2
The winding number is a concept in complex analysis which has, in the presence of chiral symmetry, a physics interpretation as the topological index belonging to gapped phases of f…
math-ph2021
Generic Features in the Spectral Decomposition of Correlation Matrices
Yuriy Stepanov, Hendrik Herrmann, Thomas Guhr
We show that correlation matrices with particular average and variance of the correlation coefficients have a notably restricted spectral structure. Applying geometric methods, we…