Nonergodic Extended States in the Sachdev-Ye-Kitaev Model

被引：36

作者：

Micklitz, T. ^{[1
]}

Monteiro, Felipe ^{[1
]}

Altland, Alexander ^{[2
]}

机构：

[1] Ctr Brasileiro Pesquisas Fis, Rua Xavier Sigaud 150, BR-22290180 Rio De Janeiro, Brazil

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

来源：

PHYSICAL REVIEW LETTERS | 2019年 / 123卷 / 12期

关键词：

ENERGY-LEVELS; TRANSITION; PHASE;

D O I：

10.1103/PhysRevLett.123.125701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analytically study spectral correlations and many body wave functions of a Sachdev-Ye-Kitaev model deformed by a random Hamiltonian diagonal in Fock space. Our main result is the identification of a wide range of intermediate coupling strengths where the spectral statistics is of Wigner-Dyson type, while wave functions are nonuniformly distributed over Fock space. The structure of the theory suggests that such manifestations of nonergodic extendedness may be a prevalent phenomenon in many body chaotic quantum systems.

引用

页数：5

共 23 条

[21] Scattering resonances and two-particle bound states of the extended Hubbard model
Valiente, M.
Petrosyan, D.
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2009, 42 (12)
[22] Complete solution of the tight binding model on a Cayley tree: strongly localised versus extended states
Aryal, Deepak
Kettemann, Stefan
JOURNAL OF PHYSICS COMMUNICATIONS, 2020, 4 (10): : 1 - 12
[23] Direct evidence of the BOW and TS states in the half-filled one-dimensional extended Hubbard model
Li, Yan-Chao
Yuan, Zi-Gang
PHYSICS LETTERS A, 2016, 380 (1-2) : 272 - 276

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