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. https://resolver.caltech.edu/CaltechAUTHORS:20200226-133542550
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Abstract
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.
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| 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 | ||||||||||||||||
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| Subject Keywords: | Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; Models of Quantum Gravity | ||||||||||||||||
| Issue or Number: | 2 | ||||||||||||||||
| DOI: | 10.1007/jhep02(2020)157 | ||||||||||||||||
| Record Number: | CaltechAUTHORS:20200226-133542550 | ||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200226-133542550 | ||||||||||||||||
| 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). https://doi.org/10.1007/JHEP02(2020)157 | ||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||
| ID Code: | 101578 | ||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||
| Deposited On: | 26 Feb 2020 21:49 | ||||||||||||||||
| Last Modified: | 16 Nov 2021 18:04 |
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