Sachdev-Ye-Kitaev model as Liouville quantum mechanics

被引：227

作者：

Bagrets, Dmitry ^{[1
]}

Altland, Alexander ^{[1
]}

Kamenev, Alex ^{[2
,3
]}

机构：

[1] Univ Cologne, Inst Theoret Phys, Zulpicher Str 77, D-50937 Cologne, Germany

[2] Univ Minnesota, WI Fine Theoret Phys Inst, Minneapolis, MN 55455 USA

[3] Univ Minnesota, Sch Phys & Astron, Minneapolis, MN 55455 USA

来源：

NUCLEAR PHYSICS B | 2016年 / 911卷

关键词：

FIELD-THEORY; SYSTEM; STATES;

D O I：

10.1016/j.nuclphysb.2016.08.002

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页码：191 / 205

页数：15

共 15 条

[1]

Altshuler B. L., 1985, ELECT ELECT INTERACT

[2] Delocalization transition via supersymmetry in one dimension [J].