Bagrets, Dmitry ORCID: 0000-0002-3985-4834, Altland, Alexander and Kamenev, Alex (2016). Sachdev-Ye-Kitaev model as Liouville quantum mechanics. Nucl. Phys. B, 911. S. 191 - 206. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1873-1562

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Abstract

We show that the proper inclusion of soft reparameterization modes in the Sachdev-Ye-Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics. As a result, all zero temperature correlation functions decay with the universal exponent alpha tau(-3/2) for times larger than the inverse single particle level spacing tau >> N ln N. In the particular case of the single particle Green function this behavior is manifestation of the zero-bias anomaly, or scaling in energy as is an element of(1/2). We also present exact diagonalization study supporting our conclusions. (C) 2016 The Author(s). Published by Elsevier B.V.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Bagrets, DmitryUNSPECIFIEDorcid.org/0000-0002-3985-4834UNSPECIFIED
Altland, AlexanderUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kamenev, AlexUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-261772
DOI: 10.1016/j.nuclphysb.2016.08.002
Journal or Publication Title: Nucl. Phys. B
Volume: 911
Page Range: S. 191 - 206
Date: 2016
Publisher: ELSEVIER SCIENCE BV
Place of Publication: AMSTERDAM
ISSN: 1873-1562
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
FIELD-THEORY; SYSTEM; STATESMultiple languages
Physics, Particles & FieldsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/26177

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