Built on

L. P. Kadanoff and P. C. Martin, “Hydrodynamic equations and correlation functions,” Annals of Physics 24, 419 (1963)
1963
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70 (1993) 3339, cond-mat/9212030
1993
Earlier work this paper cites.
J.W. Loram, K. A. Mirza, J. M.Wade, J. R. Cooper, and W. Y. Liang,“The electronic specific heat of cuprate superconductors,” Physica C: Superconductivity, 235-240, 134(1994)
1994
Earlier work this paper cites.
G. Policastro, D. T. Son, and A. O. Starinets, “From AdS / CFT correspondence to hydrodynamics.2. Sound waves,” JHEP 12, 054 (2002), arXiv:hep-th/0210220 [hep-th]
2002
Earlier work this paper cites.
A. Pal and D. A. Huse, “The many-body localization phase transition,” Phys. Rev. B 82, 174411 (2010)
2010
Earlier work this paper cites.
A. Kitaev, “A simple model of quantum holography,” Talks at KITP, April 7, 2015 and May 27, 2015
2015
Earlier work this paper cites.
S. Sachdev, “Bekenstein-Hawking Entropy and Strange Metals,” Phys. Rev. X 5
Original
2015
Earlier work this paper cites.
S. A. Hartnoll,“Theory of universal incoherent metallic transport,” Nature Phys. 11
Original
2015
Earlier work this paper cites.
L. Q. Fang, X. H. Ge, J. P. Wu and H. Q. Leng,“Anisotropic Fermi surface from holography,” Phys. Rev. D 91
Original
2015
Earlier work this paper cites.
S. Bera, H. Schomerus, F. Heidrich-Meisner, J. H. Bardarson, “Many-body localization characterized from a one-particle perspective,” Phys. Rev. Lett. 115, 046603 (2015)
2015
Earlier work this paper cites.
E. Altman and R. Vosk, “Universal dynamics and renormalization in many body localized systems,” Annual Review of Condensed Matter Physics 6, 383 (2015)
2015
Earlier work this paper cites.
R. Vosk, D. A. Huse, and E. Altman, “Theory of the Many-Body Localizati on Transition in One-Dim ensional Systems,” Phys. Rev. X 5, 031032 (2015)
2015
Earlier work this paper cites.
A. C. Potter, R. Vasseur, and S. A. Parameswaran, “Universal properties of many-body delocalization transitions,” Phys. Rev. X 5, 031033 (2015)
2015
Earlier work this paper cites.
Y. B. Lev, G. Cohen, and D. R. Reichman, “Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice,” Phys. Rev. Lett. 114, 100601 (2015)
2015
Earlier work this paper cites.
R. Nandkishore and D. A. Huse, “Many body localization and thermalization in quantum statistical mechanics,” Ann. Rev. Condensed Matter Phys. 6
Original
2015
Earlier work this paper cites.
S. A. Hartnoll and A. Karch,“Scaling theory of the cuprate strange metals,” Phys. Rev. B 91
Original
2015
Earlier work this paper cites.
A. Jevicki, K. Suzuki and J. Yoon,“Bi-Local Holography in the SYK Model,” JHEP 1607
Original
2016
Earlier work this paper cites.
A. M. Garc¨ªa-Garc¨ªa and J. J. M. Verbaarschot,“Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
Original
2016
Earlier work this paper cites.

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Then

D. J. Gross and V. Rosenhaus,“A Generalization of Sachdev-Ye-Kitaev,” JHEP 1702
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Closest in time.
M. Berkooz, P. Narayan, M. Rozali and J. Sim¨®n,“Higher Dimensional Generalizations of the SYK Model,” JHEP 1701
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C. Peng,“Vector models and generalized SYK models,” JHEP 1705
Original
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W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev,“Supersymmetric Sachdev-Ye-Kitaev models,” Phys. Rev. D 95
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2017

Diffusion in higher dimensional SYK model with complex fermions

Cai, Wenhe, Ge, Xian-Hui, Yang, Guo-Hong

Understand

We construct a new higher dimensional SYK model with complex fermions on bipartite lattices.

As an extension of the original zero-dimensional SYK model, we focus on the one-dimension case, and similar Hamiltonian can be obtained in higher dimensions.
This model has a conserved U(1) fermion number Q and a conjugate chemical potential \mu.
We evaluate the thermal and charge diffusion constants via large q expansion at low temperature limit.

Built on

L. P. Kadanoff and P. C. Martin, “Hydrodynamic equations and correlation functions,” Annals of Physics 24, 419 (1963)
1963
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70 (1993) 3339, cond-mat/9212030
1993
Earlier work this paper cites.
J.W. Loram, K. A. Mirza, J. M.Wade, J. R. Cooper, and W. Y. Liang,“The electronic specific heat of cuprate superconductors,” Physica C: Superconductivity, 235-240, 134(1994)
1994
Earlier work this paper cites.
G. Policastro, D. T. Son, and A. O. Starinets, “From AdS / CFT correspondence to hydrodynamics.2. Sound waves,” JHEP 12, 054 (2002), arXiv:hep-th/0210220 [hep-th]
2002
Earlier work this paper cites.
A. Pal and D. A. Huse, “The many-body localization phase transition,” Phys. Rev. B 82, 174411 (2010)
2010
Earlier work this paper cites.
A. Kitaev, “A simple model of quantum holography,” Talks at KITP, April 7, 2015 and May 27, 2015
2015
Earlier work this paper cites.
S. Sachdev, “Bekenstein-Hawking Entropy and Strange Metals,” Phys. Rev. X 5
Original
2015
Earlier work this paper cites.
S. A. Hartnoll,“Theory of universal incoherent metallic transport,” Nature Phys. 11
Original
2015
Earlier work this paper cites.
L. Q. Fang, X. H. Ge, J. P. Wu and H. Q. Leng,“Anisotropic Fermi surface from holography,” Phys. Rev. D 91
Original
2015
Earlier work this paper cites.
S. Bera, H. Schomerus, F. Heidrich-Meisner, J. H. Bardarson, “Many-body localization characterized from a one-particle perspective,” Phys. Rev. Lett. 115, 046603 (2015)
2015
Earlier work this paper cites.
E. Altman and R. Vosk, “Universal dynamics and renormalization in many body localized systems,” Annual Review of Condensed Matter Physics 6, 383 (2015)
2015
Earlier work this paper cites.
R. Vosk, D. A. Huse, and E. Altman, “Theory of the Many-Body Localizati on Transition in One-Dim ensional Systems,” Phys. Rev. X 5, 031032 (2015)
2015
Earlier work this paper cites.
A. C. Potter, R. Vasseur, and S. A. Parameswaran, “Universal properties of many-body delocalization transitions,” Phys. Rev. X 5, 031033 (2015)
2015
Earlier work this paper cites.
Y. B. Lev, G. Cohen, and D. R. Reichman, “Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice,” Phys. Rev. Lett. 114, 100601 (2015)
2015
Earlier work this paper cites.
R. Nandkishore and D. A. Huse, “Many body localization and thermalization in quantum statistical mechanics,” Ann. Rev. Condensed Matter Phys. 6
Original
2015
Earlier work this paper cites.
S. A. Hartnoll and A. Karch,“Scaling theory of the cuprate strange metals,” Phys. Rev. B 91
Original
2015
Earlier work this paper cites.
A. Jevicki, K. Suzuki and J. Yoon,“Bi-Local Holography in the SYK Model,” JHEP 1607
Original
2016
Earlier work this paper cites.
A. M. Garc¨ªa-Garc¨ªa and J. J. M. Verbaarschot,“Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
Original
2016
Earlier work this paper cites.

Similar

J. Maldacena, D. Stanford and Z. Yang,“Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” PTEP 2016
Original
2016
Cited alongside, same era.
J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
Original
2016
Cited alongside, same era.
J. Polchinski and V. Rosenhaus, “The Spectrum in the Sachdev-Ye-Kitaev Model,” JHEP 1604
Original
2016
Cited alongside, same era.
K. Jensen,“Chaos in AdS 2 Holography,” Phys. Rev. Lett. 117
Original
2016
Cited alongside, same era.
J. Maldacena, S. H. Shenker, and D. Stanford, “A bound on chaos ,” JHEP,08,106 (2016)
2016

Then

D. J. Gross and V. Rosenhaus,“A Generalization of Sachdev-Ye-Kitaev,” JHEP 1702
Original
2017
Closest in time.
M. Berkooz, P. Narayan, M. Rozali and J. Sim¨®n,“Higher Dimensional Generalizations of the SYK Model,” JHEP 1701
Original
2017
Closest in time.
C. Peng,“Vector models and generalized SYK models,” JHEP 1705
Original
2017
Closest in time.
W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev,“Supersymmetric Sachdev-Ye-Kitaev models,” Phys. Rev. D 95
Original
2017
Closest in time.
C. Peng, M. Spradlin and A. Volovich,“A Supersymmetric SYK-like Tensor Model,” JHEP 1705
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

X. H. Ge,“Notes on shear viscosity bound violation in anisotropic models,” Sci. China Phys. Mech. Astron. 59

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2016

Cited alongside, same era.

M. Blake, “Universal Charge Diffusion and the Butterfly Effect in Holographic Theories,” Phys. Rev. Lett. 117

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M. Blake, “Universal Diffusion in Incoherent Black Holes,” Phys. Rev. D 94

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S. Gopalakrishnan, K. Agarwal, E. A. Demler, D. A. Huse, and M. Knap, “Griffiths effects and slow dynamics in nearly many-body localized systems,” Phys. Rev. B 93, 134206 (2016)

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Cited alongside, same era.

M. Znidaric, A. Scardicchio, and V. K. Varma, “Diffusive and Subdiffusive Spin Transport in the Ergodic Phase of a Many-Body Localizable System,” Phys. Rev. Lett. 117, 040601 (2016)

2016

Cited alongside, same era.

W. Fu and S. Sachdev, “Numerical study of fermion and boson models with infinite-range random interactions,” Phys. Rev. B 94

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Cited alongside, same era.

Y. Gu, X.-L. Qi, and D. Stanford, “Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models,” (2016), arXiv:1609.07832 [hep-th]

Original

2016

Cited alongside, same era.

2017

Closest in time.