Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter

被引：28

作者：

Altland, Alexander ^{[1
]}

Bagrets, Dmitry ^{[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：

PHYSICAL REVIEW LETTERS | 2019年 / 123卷 / 10期

关键词：

TRANSPORT;

D O I：

10.1103/PhysRevLett.123.106601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider granular quantum matter defined by Sachdev-Ye-Kitaev dots coupled via random one-body hopping. Within the framework of Schwarzian field theory, we identify a zero-temperature quantum phase transition between an insulating phase at weak and a metallic phase at strong hopping. The critical hopping strength scales inversely with the number of degrees of freedom on the dots. The increase of temperature out of either phase induces a crossover into a regime of strange metallic behavior.

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页数：5

相关论文

共 31 条

[1] Inelastic electron transport in granular arrays [J].

Altland, A. ;

Glazman, L. I. ;

Kamenev, A. ;

Meyer, J. S. .

ANNALS OF PHYSICS, 2006, 321 (11) :2566-2603

[2]

Altland A., IN PRESS

[3] Power-law out of time order correlation functions in the SYK model [J].

Bagrets, Dmitry ;

Altland, Alexander ;

Kamenev, Alex .

NUCLEAR PHYSICS B, 2017, 921 :727-752

[4] Sinai Diffusion at Quasi-1D Topological Phase Transitions [J].

Bagrets, Dmitry ;

Altland, Alexander ;

Kamenev, Alex .

PHYSICAL REVIEW LETTERS, 2016, 117 (19)

[5] Sachdev-Ye-Kitaev model as Liouville quantum mechanics [J].

Bagrets, Dmitry ;

Altland, Alexander ;

Kamenev, Alex .

NUCLEAR PHYSICS B, 2016, 911 :191-205

[6] Higher dimensional generalizations of the SYK model [J].

Berkooz, Mich ;

Narayan, Prithvi ;

Rozali, Moshe ;

Simon, Joan .

JOURNAL OF HIGH ENERGY PHYSICS, 2017, (01)

[7] The Schwarzian theory a Wilson line perspective [J].

Blommaert, Andreas ;

Mertens, Thomas G. ;

Verschelde, Henri .

JOURNAL OF HIGH ENERGY PHYSICS, 2018, (12)

[8] Diffusion in higher dimensional SYK model with complex fermions [J].

Cai, Wenhe ;

Ge, Xian-Hui ;

Yang, Guo-Hong .

JOURNAL OF HIGH ENERGY PHYSICS, 2018, (01)

[9] Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model [J].

Chen, Xin ;

Fan, Ruihua ;

Chen, Yiming ;

Zhai, Hui ;

Zhang, Pengfei .

PHYSICAL REVIEW LETTERS, 2017, 119 (20)

[10] Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography [J].

Davison, Richard A. ;

Fu, Wenbo ;

Georges, Antoine ;

Gu, Yingfei ;

Jensen, Kristan ;

Sachdev, Subir .

PHYSICAL REVIEW B, 2017, 95 (15)

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