https://doi.org/10.1140/epjb/s10051-023-00558-3
Regular Article - Statistical and Nonlinear Physics
Universal transition of spectral fluctuation in particle–hole symmetric system
1
Variable Energy Cyclotron Centre, 700064, Kolkata, India
2
Homi Bhabha National Institute, Training School Complex, 400094, Anushaktinagar, Mumbai, India
Received:
12
April
2023
Accepted:
12
June
2023
Published online:
27
June
2023
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
