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20202026
most citedWinding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence

7 citations · 21 across the 6 of their papers we have counts for

collaborators

6 papers

cond-mat.supr-con2026

Superconductivity in a Two-Orbital Hatsugai-Kohmoto Model at Half Filling

Nico Hahn, R. Matthias Geilhufe

Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity emerging from a half-filled normal state in a two-orbital ext…

math-ph2024

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…

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-ph2022★ 7 cited

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…

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…

quant-ph2020★ 3 cited

Hilbert space average of transition probabilities

Nico Hahn, Thomas Guhr, Daniel Waltner

The typicality approach and the Hilbert space averaging method as its technical manifestation are important concepts of quantum statistical mechanics. Extensively used for expectat…