Transport and chaos in lattice Sachdev-Ye-Kitaev models

doi:10.1103/PhysRevB.100.045140

This content will become publicly available on July 25, 2020

Title: Transport and chaos in lattice Sachdev-Ye-Kitaev models

Authors:: Guo, Haoyu; Gu, Yingfei; Sachdev, Subir

Publication Date:: 2019-07-26

Sponsoring Org.:: USDOE

OSTI Identifier:: 1545419

Grant/Contract Number:: SC0019030

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 100 Journal Issue: 4; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Guo, Haoyu, Gu, Yingfei, and Sachdev, Subir. Transport and chaos in lattice Sachdev-Ye-Kitaev models.  United States: N. p., 2019. 
        Web.  doi:10.1103/PhysRevB.100.045140.

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                    Guo, Haoyu, Gu, Yingfei, & Sachdev, Subir. Transport and chaos in lattice Sachdev-Ye-Kitaev models.  United States.  doi:10.1103/PhysRevB.100.045140.

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                    Guo, Haoyu, Gu, Yingfei, and Sachdev, Subir. Fri .  
        "Transport and chaos in lattice Sachdev-Ye-Kitaev models".  United States.  doi:10.1103/PhysRevB.100.045140.

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@article{osti_1545419,

  title        = {Transport and chaos in lattice Sachdev-Ye-Kitaev models},

  author       = {Guo, Haoyu and Gu, Yingfei and Sachdev, Subir},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.100.045140},

  journal      = {Physical Review B},

  number       = 4,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {7}

}

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DOI: 10.1103/PhysRevB.100.045140

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Works referenced in this record:

Non-quasiparticle transport and resistivity saturation: a view from the large-N limit
journal, February 2017

Werman, Yochai; Kivelson, Steven A.; Berg, Erez
npj Quantum Materials, Vol. 2, Issue 1
DOI: 10.1038/s41535-017-0009-8

A quantum hydrodynamical description for scrambling and many-body chaos
journal, October 2018

Blake, Mike; Lee, Hyunseok; Liu, Hong
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/JHEP10(2018)127

Magnetotransport in a Model of a Disordered Strange Metal
journal, May 2018

Patel, Aavishkar A.; McGreevy, John; Arovas, Daniel P.
Physical Review X, Vol. 8, Issue 2
DOI: 10.1103/PhysRevX.8.021049

A bound on chaos
journal, August 2016

Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)106

Effective field theory of dissipative fluids
journal, September 2017

Crossley, Michael; Glorioso, Paolo; Liu, Hong
Journal of High Energy Physics, Vol. 2017, Issue 9
DOI: 10.1007/JHEP09(2017)095

Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
journal, September 2018

Khemani, Vedika; Vishwanath, Ashvin; Huse, David A.
Physical Review X, Vol. 8, Issue 3
DOI: 10.1103/PhysRevX.8.031057

Remarks on the Sachdev-Ye-Kitaev model
journal, November 2016

Maldacena, Juan; Stanford, Douglas
Physical Review D, Vol. 94, Issue 10
DOI: 10.1103/PhysRevD.94.106002

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
journal, May 2018

Kitaev, Alexei; Suh, S. Josephine
Journal of High Energy Physics, Vol. 2018, Issue 5
DOI: 10.1007/JHEP05(2018)183

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
journal, April 2017

Davison, Richard A.; Fu, Wenbo; Georges, Antoine
Physical Review B, Vol. 95, Issue 15
DOI: 10.1103/PhysRevB.95.155131

Erratum: Four-point spectral functions and Ward identities in hot QED [Phys. Rev. D 61 , 085013 (2000)]
journal, February 2003

Defu, Hou; Carrington, M. E.; Kobes, R.
Physical Review D, Vol. 67, Issue 4
DOI: 10.1103/PhysRevD.67.049902

Black holes and the butterfly effect
journal, March 2014

Shenker, Stephen H.; Stanford, Douglas
Journal of High Energy Physics, Vol. 2014, Issue 3
DOI: 10.1007/JHEP03(2014)067

Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
journal, May 2017

Gu, Yingfei; Qi, Xiao-Liang; Stanford, Douglas
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/JHEP05(2017)125

Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
journal, June 2018

García-García, Antonio M.; Loureiro, Bruno; Romero-Bermúdez, Aurelio
Physical Review Letters, Vol. 120, Issue 24
DOI: 10.1103/PhysRevLett.120.241603

Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993

Sachdev, Subir; Ye, Jinwu
Physical Review Letters, Vol. 70, Issue 21
DOI: 10.1103/PhysRevLett.70.3339

Thermal diffusivity and chaos in metals without quasiparticles
journal, November 2017

Blake, Mike; Davison, Richard A.; Sachdev, Subir
Physical Review D, Vol. 96, Issue 10
DOI: 10.1103/PhysRevD.96.106008

On the relation between the magnitude and exponent of OTOCs
journal, February 2019

Gu, Yingfei; Kitaev, Alexei
Journal of High Energy Physics, Vol. 2019, Issue 2
DOI: 10.1007/JHEP02(2019)075

Universal diffusion in incoherent black holes
journal, October 2016

Blake, Mike
Physical Review D, Vol. 94, Issue 8
DOI: 10.1103/PhysRevD.94.086014

Operator Spreading in Random Unitary Circuits
journal, April 2018

Nahum, Adam; Vijay, Sagar; Haah, Jeongwan
Physical Review X, Vol. 8, Issue 2
DOI: 10.1103/PhysRevX.8.021014

Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
journal, April 2018

von Keyserlingk, C. W.; Rakovszky, Tibor; Pollmann, Frank
Physical Review X, Vol. 8, Issue 2
DOI: 10.1103/PhysRevX.8.021013

Charge diffusion and the butterfly effect in striped holographic matter
journal, October 2016

Lucas, Andrew; Steinberg, Julia
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)143

Many-body chaos and energy dynamics in holography
journal, October 2018

Blake, Mike; Davison, Richard A.; Grozdanov, Sašo
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/JHEP10(2018)035

Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos
journal, November 2017

Zhang, Pengfei
Physical Review B, Vol. 96, Issue 20
DOI: 10.1103/PhysRevB.96.205138

Microscopic model of quantum butterfly effect: Out-of-time-order correlators and traveling combustion waves
journal, December 2016

Aleiner, Igor L.; Faoro, Lara; Ioffe, Lev B.
Annals of Physics, Vol. 375
DOI: 10.1016/j.aop.2016.09.006

Many-body chaos at weak coupling
journal, October 2016

Stanford, Douglas
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)009

Four-point spectral functions and Ward identities in hot QED
journal, March 2000

Defu, Hou; Carrington, M. E.; Kobes, R.
Physical Review D, Vol. 61, Issue 8
DOI: 10.1103/PhysRevD.61.085013

Bekenstein-Hawking Entropy and Strange Metals
journal, November 2015

Sachdev, Subir
Physical Review X, Vol. 5, Issue 4
DOI: 10.1103/PhysRevX.5.041025

Scattering and Pairing in Cuprate Superconductors
journal, August 2010

Taillefer, Louis
Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
DOI: 10.1146/annurev-conmatphys-070909-104117

Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models
journal, July 2018

Chowdhury, Debanjan; Werman, Yochai; Berg, Erez
Physical Review X, Vol. 8, Issue 3
DOI: 10.1103/PhysRevX.8.031024

Anomalous thermal diffusivity in underdoped YBa ₂ Cu ₃ O _6+x
journal, May 2017

Zhang, Jiecheng; Levenson-Falk, Eli M.; Ramshaw, B. J.
Proceedings of the National Academy of Sciences, Vol. 114, Issue 21
DOI: 10.1073/pnas.1703416114

Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models
journal, November 2017

Song, Xue-Yang; Jian, Chao-Ming; Balents, Leon
Physical Review Letters, Vol. 119, Issue 21
DOI: 10.1103/PhysRevLett.119.216601

Non-Fermi-liquid regime of a doped Mott insulator
journal, February 1999

Parcollet, Olivier; Georges, Antoine
Physical Review B, Vol. 59, Issue 8
DOI: 10.1103/PhysRevB.59.5341

Universal Charge Diffusion and the Butterfly Effect in Holographic Theories
journal, August 2016

Blake, Mike
Physical Review Letters, Vol. 117, Issue 9
DOI: 10.1103/PhysRevLett.117.091601

Quantum chaos on a critical Fermi surface
journal, February 2017

Patel, Aavishkar A.; Sachdev, Subir
Proceedings of the National Academy of Sciences, Vol. 114, Issue 8
DOI: 10.1073/pnas.1618185114

Quantum Butterfly Effect in Weakly Interacting Diffusive Metals
journal, September 2017

Patel, Aavishkar A.; Chowdhury, Debanjan; Sachdev, Subir
Physical Review X, Vol. 7, Issue 3
DOI: 10.1103/PhysRevX.7.031047

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Similar Records

This content will become publicly available on July 25, 2020

Title: Transport and chaos in lattice Sachdev-Ye-Kitaev models

Citation Formats

Non-quasiparticle transport and resistivity saturation: a view from the large-N limit journal, February 2017

A quantum hydrodynamical description for scrambling and many-body chaos journal, October 2018

Magnetotransport in a Model of a Disordered Strange Metal journal, May 2018

A bound on chaos journal, August 2016

Effective field theory of dissipative fluids journal, September 2017

Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws journal, September 2018

Remarks on the Sachdev-Ye-Kitaev model journal, November 2016

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual journal, May 2018

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography journal, April 2017

Erratum: Four-point spectral functions and Ward identities in hot QED [Phys. Rev. D 61 , 085013 (2000)] journal, February 2003

Black holes and the butterfly effect journal, March 2014

Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models journal, May 2017

Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model journal, June 2018

Gapless spin-fluid ground state in a random quantum Heisenberg magnet journal, May 1993

Thermal diffusivity and chaos in metals without quasiparticles journal, November 2017

On the relation between the magnitude and exponent of OTOCs journal, February 2019

Universal diffusion in incoherent black holes journal, October 2016

Operator Spreading in Random Unitary Circuits journal, April 2018

Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws journal, April 2018

Charge diffusion and the butterfly effect in striped holographic matter journal, October 2016

Many-body chaos and energy dynamics in holography journal, October 2018

Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos journal, November 2017

Microscopic model of quantum butterfly effect: Out-of-time-order correlators and traveling combustion waves journal, December 2016

Many-body chaos at weak coupling journal, October 2016

Four-point spectral functions and Ward identities in hot QED journal, March 2000

Bekenstein-Hawking Entropy and Strange Metals journal, November 2015

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Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models journal, July 2018

Anomalous thermal diffusivity in underdoped YBa 2 Cu 3 O 6+x journal, May 2017

Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models journal, November 2017

Non-Fermi-liquid regime of a doped Mott insulator journal, February 1999

Universal Charge Diffusion and the Butterfly Effect in Holographic Theories journal, August 2016

Quantum chaos on a critical Fermi surface journal, February 2017

Quantum Butterfly Effect in Weakly Interacting Diffusive Metals journal, September 2017

Non-quasiparticle transport and resistivity saturation: a view from the large-N limit
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A quantum hydrodynamical description for scrambling and many-body chaos
journal, October 2018

Magnetotransport in a Model of a Disordered Strange Metal
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A bound on chaos
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Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
journal, September 2018

Remarks on the Sachdev-Ye-Kitaev model
journal, November 2016

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
journal, May 2018

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
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Erratum: Four-point spectral functions and Ward identities in hot QED [Phys. Rev. D 61 , 085013 (2000)]
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Black holes and the butterfly effect
journal, March 2014

Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
journal, May 2017

Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
journal, June 2018

Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993

Thermal diffusivity and chaos in metals without quasiparticles
journal, November 2017

On the relation between the magnitude and exponent of OTOCs
journal, February 2019

Universal diffusion in incoherent black holes
journal, October 2016

Operator Spreading in Random Unitary Circuits
journal, April 2018

Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
journal, April 2018

Charge diffusion and the butterfly effect in striped holographic matter
journal, October 2016

Many-body chaos and energy dynamics in holography
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