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Notes on the complex Sachdev-Ye-Kitaev model

Gu, Yingfei and Kitaev, Alexei and Sachdev, Subir and Tarnopolsky, Grigory (2020) Notes on the complex Sachdev-Ye-Kitaev model. Journal of High Energy Physics, 2020 (2). Art. No. 157. ISSN 1029-8479. doi:10.1007/jhep02(2020)157.

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We describe numerous properties of the Sachdev-Ye-Kitaev model for complex fermions with N ≫ 1 flavors and a global U(1) charge. We provide a general definition of the charge in the (G, Σ) formalism, and compute its universal relation to the infrared asymmetry of the Green function. The same relation is obtained by a renormalization theory. The conserved charge contributes a compact scalar field to the effective action, from which we derive the many-body density of states and extract the charge compressibility. We compute the latter via three distinct numerical methods and obtain consistent results. Finally, we present a two dimensional bulk picture with free Dirac fermions for the zero temperature entropy.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Gu, Yingfei0000-0001-8645-879X
Sachdev, Subir0000-0002-2432-7070
Additional Information:© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: November 13, 2019; Accepted: February 4, 2020; Published: February 25, 2020. We thank Wenbo Fu, Antoine Georges, Simone Giombi, Luca Iliesiu, Igor Klebanov, Sung-Sik Lee, Juan Maldacena, Olivier Parcollet, Xiao-Liang Qi, Shinsei Ryu, Wei Song, Douglas Stanford and Cenke Xu for useful discussions. Y.G. is supported by the Gordon and Betty Moore Foundation EPiQS Initiative through Grant (GBMF-4306) and DOE grant, DE-SC0019030. A.K. is supported by the Simons Foundation under grant 376205 and through the "It from Qubit" program, as well as by the Institute of Quantum Information and Matter, a NSF Frontier center funded in part by the Gordon and Betty Moore Foundation. S.S. and G.T. are supported by DOE grant, DE-SC0019030. G.T. acknowledges support from the MURI grant W911NF-14-1-0003 from ARO and by DOE grant DE-SC0007870. This work was performed in part at KITP, University of California, Santa Barbara supported by the NSF under grant PHY-1748958.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Gordon and Betty Moore FoundationGBMF-4306
Department of Energy (DOE)DE-SC0019030
Simons Foundation376205
Institute of Quantum Information and Matter (IQIM)UNSPECIFIED
Army Research Office (ARO)W911NF-14-1-0003
Department of Energy (DOE)DE-SC0007870
Subject Keywords:Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; Models of Quantum Gravity
Issue or Number:2
Record Number:CaltechAUTHORS:20200226-133542550
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Official Citation:Gu, Y., Kitaev, A., Sachdev, S. et al. Notes on the complex Sachdev-Ye-Kitaev model. J. High Energ. Phys. 2020, 157 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101578
Deposited By: Tony Diaz
Deposited On:26 Feb 2020 21:49
Last Modified:16 Nov 2021 18:04

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