Universität zu Köln

Bagrets, Dmitry ORCID: 0000-0002-3985-4834, Altland, Alexander ORCID: 0000-0002-2991-4805 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:	Creators Email ORCID ORCID Put Code Bagrets, Dmitry UNSPECIFIED orcid.org/0000-0002-3985-4834 UNSPECIFIED Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED Kamenev, Alex UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FIELD-THEORY; SYSTEM; STATES Multiple languages Physics, Particles & Fields Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26177