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Condensed Matter > Strongly Correlated Electrons

arXiv:2111.15215 (cond-mat)
[Submitted on 30 Nov 2021 (v1), last revised 25 Feb 2022 (this version, v3)]

Title:A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics

Authors:Mikael Fremling, Masudul Haque, Lars Fritz
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Abstract:We study a bipartite version of the Sachdev-Ye-Kitaev (SYK) model. We show that the model remains solvable in the limit of large-$N$ in the same sense as the original model if the ratio of both flavors is kept finite. The scaling dimensions of the two species can be tuned continuously as a function of the ratio. We also investigate the finite-size spectral properties of the model. We show how the level statistics differs from the original SYK model and infer an additional exchange symmetry in the bipartite model.
Comments: 12 pages, 6 figures v3; Z2-symmetry clarified v2; Modified title and figure fonts
Subjects: Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.15215 [cond-mat.str-el]
  (or arXiv:2111.15215v3 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.2111.15215
Related DOI: https://doi.org/10.1103/PhysRevD.105.066017

Submission history

From: Mikael Fremling [view email]
[v1] Tue, 30 Nov 2021 08:56:54 UTC (550 KB)
[v2] Thu, 9 Dec 2021 20:31:37 UTC (637 KB)
[v3] Fri, 25 Feb 2022 13:38:23 UTC (529 KB)
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