Winding number statistics of a parametric chiral unitary random matrix ensemble*

DOI10.1088/1751-8121/ac66a9zbMath1506.60010arXiv2112.14575OpenAlexW4223604435MaRDI QIDQ5048536

Nico Hahn, Petr A. Braun, Omri Gat, Daniel Waltner, Thomas Guhr

Publication date: 16 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.14575

zbMATH Keywords

winding numberrandom matrix theorychiral symmetrytopological condensed matter

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20)

Related Items (2)

Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence ⋮ Winding number statistics for chiral random matrices: Averaging ratios of parametric determinants in the orthogonal case

Uses Software

• DLMF

Cites Work

• Unnamed Item
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• Derivation of an eigenvalue probability density function relating to the Poincaré disk
• Periodic table for topological insulators and superconductors
• The bulk-edge correspondence in three simple cases
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• Particle–hole symmetries in condensed matter

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