Built on

Y. Cao, D. Chowdhury, D. Rodan-Legrain, O. Rubies-Bigordà, K. Watanabe, T. Taniguchi, T. Senthil, and P. Jarillo-Herrero, “Strange metal in magic-angle graphene with near Planckian dissipation,” arXiv e-prints (2019), arXiv:1901.03710 [cond-mat.str-el]
Original
1901
Earlier work this paper cites.
Y. Nakajima, T. Metz, C. Eckberg, K. Kirshenbaum, A. Hughes, R. Wang, L. Wang, S. R. Saha, I.-L. Liu, N. P. Butch, D. Campbell, Y. S. Eo, D. Graf, Z. Liu, S. V. Borisenko, P. Y. Zavalij, and J. Paglione, “Planckian dissipation and scale invariance in a quantum-critical disordered pnictide,” arXiv e-prints (2019), arXiv:1902.01034 [cond-mat.str-el]
Original
1902
Earlier work this paper cites.
C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A. E. Ruckenstein, “Phenomenology of the normal state of Cu-O high-temperature superconductors,” Phys. Rev. Lett. 63
1989
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.
M. Cubrovic, J. Zaanen, and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
R. Shankar, “Renormalization-group approach to interacting fermions,” Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
O. Parcollet and A. Georges, “Non-Fermi-liquid regime of a doped Mott insulator,” Phys. Rev. B 59
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.

Similar

L. Taillefer, “Scattering and Pairing in Cuprate Superconductors,” Annual Review of Condensed Matter Physics 1
Original
2010
Cited alongside, same era.
T. Faulkner, H. Liu, J. McGreevy, and D. Vegh, “Emergent quantum criticality, Fermi surfaces, and AdS 2 ,” Phys. Rev. D 83
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2011
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J. A. N. Bruin, H. Sakai, R. S. Perry, and A. P. Mackenzie, “Similarity of Scattering Rates in Metals Showing T T -Linear Resistivity,” Science 339
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T. Faulkner, N. Iqbal, H. Liu, J. McGreevy, and D. Vegh, “Charge transport by holographic Fermi surfaces,” Phys. Rev. D88
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Cited alongside, same era.
A. Y. Kitaev, “Talks at KITP, University of California, Santa Barbara,” Entanglement in Strongly-Correlated Quantum Matter (2015)

Then

X.-Y. Song, C.-M. Jian, and L. Balents, “Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models,” Phys. Rev. Lett. 119
Original
2017
Later among the works it cites.
R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen, and S. Sachdev, “Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography,” Phys. Rev. B 95
Original
2017
Later among the works it cites.
A. Legros, S. Benhabib, W. Tabis, F. Laliberté, M. Dion, M. Lizaire, B. Vignolle, D. Vignolles, H. Raffy, Z. Z. Li, P. Auban-Senzier, N. Doiron-Leyraud, P. Fournier, D. Colson, L. Taillefer, and C. Proust, “Universal T T -linear resistivity and Planckian dissipation in overdoped cuprates,” Nature Physics 15
Original
2018
Later among the works it cites.
D. Chowdhury, Y. Werman, E. Berg, and T. Senthil, “Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models,” Phys. Rev. X 8
Original
2018
Later among the works it cites.

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2019

Theory of a Planckian metal

Patel, Aavishkar A., Sachdev, Subir

Understand

We present a lattice model of fermions with $N$ flavors and random interactions which describes a Planckian metal at low temperatures, $T \rightarrow 0$, in the solvable limit of large $N$.

We begin with quasiparticles around a Fermi surface with effective mass $m^\ast$, and then include random interactions which lead to fermion spectral functions with frequency scaling with $k_B T/\hbar$.
The resistivity, $\rho$, obeys the Drude formula $\rho = m^\ast/(n e^2 \tau_{\textrm{tr}})$, where $n$ is the density of fermions, and the transport scattering rate is $1/\tau_{\textrm{tr}} = f \, k_B T/\hbar$; we find $f$ of order unity, and essentially independent of the strength and form of the interactions.
The random interactions are a generalization of the Sachdev-Ye-Kitaev models; it is assumed that processes non-resonant in the bare quasiparticle energies only renormalize $m^\ast$, while resonant processes are shown to produce the Planckian behavior.

Built on

Y. Cao, D. Chowdhury, D. Rodan-Legrain, O. Rubies-Bigordà, K. Watanabe, T. Taniguchi, T. Senthil, and P. Jarillo-Herrero, “Strange metal in magic-angle graphene with near Planckian dissipation,” arXiv e-prints (2019), arXiv:1901.03710 [cond-mat.str-el]
Original
1901
Earlier work this paper cites.
Y. Nakajima, T. Metz, C. Eckberg, K. Kirshenbaum, A. Hughes, R. Wang, L. Wang, S. R. Saha, I.-L. Liu, N. P. Butch, D. Campbell, Y. S. Eo, D. Graf, Z. Liu, S. V. Borisenko, P. Y. Zavalij, and J. Paglione, “Planckian dissipation and scale invariance in a quantum-critical disordered pnictide,” arXiv e-prints (2019), arXiv:1902.01034 [cond-mat.str-el]
Original
1902
Earlier work this paper cites.
C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A. E. Ruckenstein, “Phenomenology of the normal state of Cu-O high-temperature superconductors,” Phys. Rev. Lett. 63
1989
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.
M. Cubrovic, J. Zaanen, and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
R. Shankar, “Renormalization-group approach to interacting fermions,” Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
O. Parcollet and A. Georges, “Non-Fermi-liquid regime of a doped Mott insulator,” Phys. Rev. B 59
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.

Similar

L. Taillefer, “Scattering and Pairing in Cuprate Superconductors,” Annual Review of Condensed Matter Physics 1
Original
2010
Cited alongside, same era.
T. Faulkner, H. Liu, J. McGreevy, and D. Vegh, “Emergent quantum criticality, Fermi surfaces, and AdS 2 ,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
J. A. N. Bruin, H. Sakai, R. S. Perry, and A. P. Mackenzie, “Similarity of Scattering Rates in Metals Showing T T -Linear Resistivity,” Science 339
2013
Cited alongside, same era.
T. Faulkner, N. Iqbal, H. Liu, J. McGreevy, and D. Vegh, “Charge transport by holographic Fermi surfaces,” Phys. Rev. D88
Original
2013
Cited alongside, same era.
A. Y. Kitaev, “Talks at KITP, University of California, Santa Barbara,” Entanglement in Strongly-Correlated Quantum Matter (2015)

Then

X.-Y. Song, C.-M. Jian, and L. Balents, “Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models,” Phys. Rev. Lett. 119
Original
2017
Later among the works it cites.
R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen, and S. Sachdev, “Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography,” Phys. Rev. B 95
Original
2017
Later among the works it cites.
A. Legros, S. Benhabib, W. Tabis, F. Laliberté, M. Dion, M. Lizaire, B. Vignolle, D. Vignolles, H. Raffy, Z. Z. Li, P. Auban-Senzier, N. Doiron-Leyraud, P. Fournier, D. Colson, L. Taillefer, and C. Proust, “Universal T T -linear resistivity and Planckian dissipation in overdoped cuprates,” Nature Physics 15
Original
2018
Later among the works it cites.
D. Chowdhury, Y. Werman, E. Berg, and T. Senthil, “Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models,” Phys. Rev. X 8
Original
2018
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2015

Cited alongside, same era.

S. Sachdev, “Bekenstein-Hawking Entropy and Strange Metals,” Phys. Rev. X 5

Original

2015

Cited alongside, same era.

W. Fu and S. Sachdev, “Numerical study of fermion and boson models with infinite-range random interactions,” Phys. Rev. B94

Original

2016

Cited alongside, same era.

P. Zhang, “Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos,” Phys. Rev. B 96

Original

2017

Cited alongside, same era.

H. Takagi, B. Batlogg, H. L. Kao, J. Kwo, R. J. Cava, J. J. Krajewski, and W. F. Peck, “Systematic evolution of temperature-dependent resistivity in La 2 − x {\mathrm{La}}_{2\mathrm{-}\mathit{x}} Sr x {\mathrm{Sr}}_{\mathit{x}} CuO 4 {\mathrm{CuO}}_{4} ,” Phys. Rev. Lett. 69

Cited in the paper.

A. A. Patel, J. McGreevy, D. P. Arovas, and S. Sachdev, “Magnetotransport in a model of a disordered strange metal,” Phys. Rev. X 8

Original

Cited in the paper.

A. A. Patel, M. J. Lawler, and E.-A. Kim, “Coherent superconductivity with a large gap ratio from incoherent metals,” Phys. Rev. Lett. 121

Cited in the paper.

S. Sachdev, “Strange metals and the AdS/CFT correspondence,” J. Stat. Mech. 1011

Original

Cited in the paper.

T. Azeyanagi, F. Ferrari, and F. I. Schaposnik Massolo, “Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models,” Phys. Rev. Lett. 120

Original

2018