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Universal transition of spectral fluctuation in particle–hole symmetric system

Author

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  • Triparna Mondal

    (Variable Energy Cyclotron Centre)

  • Shashi C. L. Srivastava

    (Variable Energy Cyclotron Centre
    Homi Bhabha National Institute, Training School Complex)

Abstract

We study the spectral properties of a multiparametric system having particle–hole symmetry in random matrix setting. We observe a crossover from Poisson to Wigner–Dyson like behavior in average local ratio of spacing within a spectrum of single matrix as a function of effective single parameter referred to as complexity parameter. The average local ratio of spacing varies logarithmically in complexity parameter across the transition. This behavior is universal for different ensembles subjected to same matrix constraint like particle–hole symmetry. The universality of this dependence is further established by studying interpolating ensemble connecting systems with particle–hole symmetry to that with chiral symmetry. For each interpolating ensemble the behavior remains logarithmic in complexity parameter. We verify this universality of spectral fluctuation in case of a 2D Su-Schrieffer-Heeger (SSH) like model along with the logarithmic dependence on complexity parameter for ratio of spacing during transition from integrable to non-integrable limit. Graphic abstract

Suggested Citation

  • Triparna Mondal & Shashi C. L. Srivastava, 2023. "Universal transition of spectral fluctuation in particle–hole symmetric system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-16, June.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:6:d:10.1140_epjb_s10051-023-00558-3
    DOI: 10.1140/epjb/s10051-023-00558-3
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