Winding number statistics of a parametric chiral unitary random matrix ensemble

  title={Winding number statistics of a parametric chiral unitary random matrix ensemble},
  author={Petr A. Braun and Nico Hahn and Daniel Waltner and Omri Gat and Thomas Guhr},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • P. BraunN. Hahn T. Guhr
  • Published 29 December 2021
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
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 fermions. We study statistical properties of this topological quantity. To this end, we set up a random matrix model for a chiral unitary system with a parametric dependence. We analytically calculate the discrete probability distribution of the winding numbers, as well as the parametric correlations functions of the… 
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