Bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics

Mikael Fremling; Masudul Haque; Lars Fritz

doi:10.1103/PhysRevD.105.066017

Bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics

Mikael Fremling
, Masudul Haque
, Lars Fritz

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Article number	066017
Pages (from-to)	1-12
Journal	Physical review D
Volume	105
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.105.066017
Publication status	Published - 15 Mar 2022

Bibliographical note

Funding Information:
We would like to thank Philippe Corboz, Maria Hermanns, Lukas Janssen, Graham Kells, Tobias Meng, Subir Sachdev, Alexey Milekhin, and Matthias Vojta for useful discussions. This work is part of the D-ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW).

Publisher Copyright:
© 2022 American Physical Society.

Keywords

cond-mat.str-el
hep-th

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title = "Bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics",

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. ",

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doi = "10.1103/PhysRevD.105.066017",

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AU - Fritz, Lars

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PY - 2022/3/15

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N2 - 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.

AB - 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.

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DO - 10.1103/PhysRevD.105.066017

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ER -

Bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics

Abstract

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Keywords

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