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  • Open Access

Note on the q=2 R-para-fermionic SYK model

Tingfei Li*

  • *Contact author: tfli@zju.edu.cn
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Phys. Rev. D 112, 106018 – Published 24 November, 2025

DOI: https://doi.org/10.1103/vw3x-mmgt

Abstract

We investigate the q=2 SYK model with R-para-particles (R−PSYK2), analyzing its thermodynamics and spectral form factor (SFF) using random matrix theory. The Hamiltonian is quadratic, with coupling coefficients randomly drawn from the Gaussian unitary ensemble. The model displays self-averaging behavior and exhibits an exponential ramp in its SFF dynamics: K(t)∼eC0t. The growth rate C0 tends toward either a constant or infinity in the N→∞ limit, depending on specific statistics of the model. These results provide novel perspectives on quantum systems with unconventional statistics.

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Phys. Rev. D 112, 106018– Published 24 November, 2025
  • Received 31 March 2025
  • Accepted 24 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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