Built on

G. Parisi, Order parameter for spin-glasses , Phys. Rev. Lett. 50
1946
Earlier work this paper cites.
S. F. Edwards and P. W. Anderson, Theory of spin glasses , J. Phys. F: Met. Phys. 5
1975
Earlier work this paper cites.
D. Sherrington and S. Kirkpatrick, Solvable model of a spin-glass , Phys. Rev. Lett. 35
1975
Earlier work this paper cites.
M. Mézard, G. Parisi and M. Virasoro, Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications , vol. 9. World Scientific Publishing Company, 1987
1987
Earlier work this paper cites.
B. L. Altshuler, P. A. Lee and W. R. Webb, eds., Mesoscopic Phenomena in Solids , vol. 30 of Modern Problems in Condensed Matter Sciences . Elsevier, 1991
1991
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
Earlier work this paper cites.
A. Andreev and B. Altshuler, Spectral statistics beyond random matrix theory , Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
A. Kamenev and M. Mézard, Wigner-Dyson statistics from the replica method , J. Phys. A: Math. Gen. 32
1999
Earlier work this paper cites.
A. Kamenev and M. Mézard, Level correlations in disordered metals: the replica σ \sigma model , Phys. Rev. B 60
1999
Earlier work this paper cites.
I. V. Yurkevich and I. V. Lerner, Nonperturbative results for level correlations from the replica nonlinear σ \sigma model , Phys. Rev. B 60
1999
Earlier work this paper cites.
A. Georges, O. Parcollet and S. Sachdev, Quantum fluctuations of a nearly critical Heisenberg spin glass , Phys. Rev. B 63
2001
Earlier work this paper cites.
S. M. Nishigaki and A. Kamenev, Replica treatment of non-Hermitian disordered Hamiltonians , J. Phys. A: Math. Gen. 35
2002
Earlier work this paper cites.
E. Kanzieper, Replica field theories, Painlevé transcendents, and exact correlation functions , Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
A. Kitaev, “A simple model of quantum holography.” http://online.kitp.ucsb.edu/online/entangled15/kitaev/ and http://online.kitp.ucsb.edu/online/entangled15/kitaev2/ , 7 April 2015 and 27 May 2015
2015
Earlier work this paper cites.
A. Almheiri and J. Polchinski, Models of AdS 2 backreaction and holography , JHEP 11
Original
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.
J. Engelsöy, T. G. Mertens and H. Verlinde, An investigation of A d S 2 AdS_{2} backreaction and holography , JHEP 07
Original
2016
Earlier work this paper cites.
K. Jensen, Chaos in A d S 2 AdS_{2} holography , Phys. Rev. Lett 117
Original
2016
Earlier work this paper cites.
A. Jevicki and K. Suzuki, Bi-local holography in the SYK model: perturbations , JHEP 11
Original
2016
Earlier work this paper cites.
J. Maldacena, S. H. Shenker and D. Stanford, A bound on chaos , JHEP 08
Original
2016
Earlier work this paper cites.
A. M. García-García 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

W. Fu and S. Sachdev, Numerical study of fermion and boson models with infinite-range random interactions , Phys. Rev. B 94
Original
2016
Cited alongside, same era.
J. Polchinski and V. Rosenhaus, The spectrum in the Sachdev-Ye-Kitaev model , JHEP 04
Original
2016
Cited alongside, same era.
D. Bagrets, A. Altland and A. Kamenev, Sachdev–Ye–Kitaev model as Liouville quantum mechanics , Nucl. Phys. B 911
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. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space , Prog. Theor. Exp. Phys. 2016

Then

Z. Bi, C.-M. Jian, Y.-Z. You, K. A. Pawlak and C. Xu, Instability of the non-Fermi-liquid state of the Sachdev-Ye-Kitaev model , Phys. Rev. B 95
Original
2017
Later among the works it cites.
X. Chen, R. Fan, Y. Chen, H. Zhai and P. Zhang, Competition between chaotic and nonchaotic phases in a quadratically coupled Sachdev-Ye-Kitaev model , Phys. Rev. Lett 119
Original
2017
Later among the works it cites.
M. Berkooz, P. Narayan, M. Rozali and J. Simón, Higher dimensional generalizations of the SYK model , JHEP 01
Original
2017
Later among the works it cites.
D. Gross and V. Rosenhaus, A Generalization of Sachdev-Ye-Kitaev , JHEP 02
Original
2017
Later among the works it cites.
W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev, Supersymmetric Sachdev-Ye-Kitaev models , Phys. Rev. D 95

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2018

On the replica structure of Sachdev-Ye-Kitaev model

Wang, Hanteng, Bagrets, D., Chudnovskiy, A. L. et al.

Understand

We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model.

To this end we evaluate a set of local and non-local dynamic correlation functions in the long time limit.
We argue that the structure of the soft-mode Schwarzian action is qualitatively different in replica-diagonal vs.
replica-off-diagonal scenarios, leading to distinct long-time predictions for the correlation functions.

Built on

G. Parisi, Order parameter for spin-glasses , Phys. Rev. Lett. 50
1946
Earlier work this paper cites.
S. F. Edwards and P. W. Anderson, Theory of spin glasses , J. Phys. F: Met. Phys. 5
1975
Earlier work this paper cites.
D. Sherrington and S. Kirkpatrick, Solvable model of a spin-glass , Phys. Rev. Lett. 35
1975
Earlier work this paper cites.
M. Mézard, G. Parisi and M. Virasoro, Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications , vol. 9. World Scientific Publishing Company, 1987
1987
Earlier work this paper cites.
B. L. Altshuler, P. A. Lee and W. R. Webb, eds., Mesoscopic Phenomena in Solids , vol. 30 of Modern Problems in Condensed Matter Sciences . Elsevier, 1991
1991
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
Earlier work this paper cites.
A. Andreev and B. Altshuler, Spectral statistics beyond random matrix theory , Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
A. Kamenev and M. Mézard, Wigner-Dyson statistics from the replica method , J. Phys. A: Math. Gen. 32
1999
Earlier work this paper cites.
A. Kamenev and M. Mézard, Level correlations in disordered metals: the replica σ \sigma model , Phys. Rev. B 60
1999
Earlier work this paper cites.
I. V. Yurkevich and I. V. Lerner, Nonperturbative results for level correlations from the replica nonlinear σ \sigma model , Phys. Rev. B 60
1999
Earlier work this paper cites.
A. Georges, O. Parcollet and S. Sachdev, Quantum fluctuations of a nearly critical Heisenberg spin glass , Phys. Rev. B 63
2001
Earlier work this paper cites.
S. M. Nishigaki and A. Kamenev, Replica treatment of non-Hermitian disordered Hamiltonians , J. Phys. A: Math. Gen. 35
2002
Earlier work this paper cites.
E. Kanzieper, Replica field theories, Painlevé transcendents, and exact correlation functions , Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
A. Kitaev, “A simple model of quantum holography.” http://online.kitp.ucsb.edu/online/entangled15/kitaev/ and http://online.kitp.ucsb.edu/online/entangled15/kitaev2/ , 7 April 2015 and 27 May 2015
2015
Earlier work this paper cites.
A. Almheiri and J. Polchinski, Models of AdS 2 backreaction and holography , JHEP 11
Original
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.
J. Engelsöy, T. G. Mertens and H. Verlinde, An investigation of A d S 2 AdS_{2} backreaction and holography , JHEP 07
Original
2016
Earlier work this paper cites.
K. Jensen, Chaos in A d S 2 AdS_{2} holography , Phys. Rev. Lett 117
Original
2016
Earlier work this paper cites.
A. Jevicki and K. Suzuki, Bi-local holography in the SYK model: perturbations , JHEP 11
Original
2016
Earlier work this paper cites.
J. Maldacena, S. H. Shenker and D. Stanford, A bound on chaos , JHEP 08
Original
2016
Earlier work this paper cites.
A. M. García-García 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

W. Fu and S. Sachdev, Numerical study of fermion and boson models with infinite-range random interactions , Phys. Rev. B 94
Original
2016
Cited alongside, same era.
J. Polchinski and V. Rosenhaus, The spectrum in the Sachdev-Ye-Kitaev model , JHEP 04
Original
2016
Cited alongside, same era.
D. Bagrets, A. Altland and A. Kamenev, Sachdev–Ye–Kitaev model as Liouville quantum mechanics , Nucl. Phys. B 911
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. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space , Prog. Theor. Exp. Phys. 2016

Then

Z. Bi, C.-M. Jian, Y.-Z. You, K. A. Pawlak and C. Xu, Instability of the non-Fermi-liquid state of the Sachdev-Ye-Kitaev model , Phys. Rev. B 95
Original
2017
Later among the works it cites.
X. Chen, R. Fan, Y. Chen, H. Zhai and P. Zhang, Competition between chaotic and nonchaotic phases in a quadratically coupled Sachdev-Ye-Kitaev model , Phys. Rev. Lett 119
Original
2017
Later among the works it cites.
M. Berkooz, P. Narayan, M. Rozali and J. Simón, Higher dimensional generalizations of the SYK model , JHEP 01
Original
2017
Later among the works it cites.
D. Gross and V. Rosenhaus, A Generalization of Sachdev-Ye-Kitaev , JHEP 02
Original
2017
Later among the works it cites.
W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev, Supersymmetric Sachdev-Ye-Kitaev models , Phys. Rev. D 95

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2016

Cited alongside, same era.

B. Altshuler, E. Cuevas, L. Ioffe and V. Kravtsov, Nonergodic phases in strongly disordered random regular graphs , Phys. Rev. Lett 117

Original

2016

Cited alongside, same era.

K. S. Tikhonov and A. D. Mirlin, Fractality of wave functions on a cayley tree: Difference between tree and locally treelike graph without boundary , Phys. Rev. B 94

2016

Cited alongside, same era.

J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker et al., Black holes and random matrices , JHEP 05

Original

2017

Cited alongside, same era.

D. J. Gross and V. Rosenhaus, The bulk dual of SYK: cubic couplings , JHEP 05

Original

2017

Cited alongside, same era.

Y.-Z. You, A. W. Ludwig and C. Xu, Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states , Phys. Rev. B 95

Original