Notes on the complex Sachdev-Ye-Kitaev model
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.
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.Attached Files
Published - Gu2020_Article_NotesOnTheComplexSachdev-Ye-Ki.pdf
Submitted - 1910.14099.pdf
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Additional details
- Eprint ID
- 101578
- Resolver ID
- CaltechAUTHORS:20200226-133542550
- GBMF-4306
- Gordon and Betty Moore Foundation
- DE-SC0019030
- Department of Energy (DOE)
- 376205
- Simons Foundation
- Institute of Quantum Information and Matter (IQIM)
- W911NF-14-1-0003
- Army Research Office (ARO)
- DE-SC0007870
- Department of Energy (DOE)
- PHY-1748958
- NSF
- Created
-
2020-02-26Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter