Replica symmetry breaking for the integrable two-site Sachdev–Ye–Kitaev model

  title={Replica symmetry breaking for the integrable two-site Sachdev–Ye–Kitaev model},
  author={Yiyang Jia and Dario Rosa and Jacobus J. M. Verbaarschot},
  journal={Journal of Mathematical Physics},
We analyze a two-body non-Hermitian two-site Sachdev–Ye–Kitaev (SYK) model with the couplings of one site complex conjugated to the other site. This model, with no explicit coupling between the sites, shows an infinite number of second-order phase transitions, which is a consequence of the factorization of the partition function into a product over Matsubara frequencies. We calculate the quenched free energy in two different ways: first in terms of the single-particle energies and second by… 

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