Sachdev-Ye-Kitaev model as Liouville quantum mechanics

DOI10.1016/J.NUCLPHYSB.2016.08.002zbMATH Open1346.81157arXiv1607.00694OpenAlexW2468247974WikidataQ112153784 ScholiaQ112153784MaRDI QIDQ318747

Author name not available (Why is that?)

Publication date: 5 October 2016

Published in: (Search for Journal in Brave)

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 $proptoa{u}^{-3/2}$ for times larger than the inverse single particle level spacing $auggNlnN$. In the particular case of the single particle Green function this behavior is manifestation of the zero-bias anomaly, or scaling in energy as $epsilo{n}^{1/2}$. We also present exact diagonalization study supporting our conclusions.

Full work available at URL: https://arxiv.org/abs/1607.00694

Mathematics Subject Classification ID

No records found.

This page was built for publication: Sachdev-Ye-Kitaev model as Liouville quantum mechanics

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q318747)