7 citations · 21 across the 6 of their papers we have counts for
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Winding Number Statistics for Chiral Random Matrices: Universal Correlations and Statistical Moments in the Unitary Case
Nico Hahn, Mario Kieburg, Omri Gat +1
The winding number is the topological invariant that classifies chiral symmetric Hamiltonians with one-dimensional parametric dependence. In this work we complete our study of the…
Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case
Nico Hahn, Mario Kieburg, Omri Gat +1
We extend our recent study of winding number density statistics in Gaussian random matrix ensembles of the chiral unitary (AIII) and chiral symplectic (CII) classes. Here, we consi…
Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence
Nico Hahn, Mario Kieburg, Omri Gat +1
Topological invariance is a powerful concept in different branches of physics as they are particularly robust under perturbations. We generalize the ideas of computing the statisti…
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…