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math-ph2023
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…
math-ph2023★ 4 cited
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…
math-ph2023★ 1 cited
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…