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Winding Number Statistics of a Parametric Chiral Symplectic Random Matrix Ensemble
Pascal Toschka, Luke Haas, Thomas Guhr +2
The winding number is a simple topological invariant. In the case of chiral symmetry it characterises gapped phases of Fermions. We study statistical properties of this topological…
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…
Random Matrices and the Free Energy of Ising-Like Models with Disorder
Nils Gluth, Thomas Guhr, Alfred Hucht
We consider an Ising model with quenched surface disorder, the disorder average of the free energy is the main object of interest. Explicit expressions for the free energy distribu…
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…
Statistical Topology -- Distribution and Density Correlations of Winding Numbers in Chiral Systems
Thomas Guhr
Statistical Topology emerged since topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statisti…
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…