Fetching the paper…

Reading the bibliography…

2018

$Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model

Fu, Wenbo, Gu, Yingfei, Sachdev, Subir et al.

Original
PDF
Post on X

Understand

We describe the phases of a solvable $t$-$J$ model of electrons with infinite-range, and random, hopping and exchange interactions, similar to those in the Sachdev-Ye-Kitaev models.

The electron fractionalizes, as in an `orthogonal metal', into a fermion $f$ which carries both the electron spin and charge, and a boson $\phi$.
Both $f$ and $\phi$ carry emergent $\mathbb{Z}_2$ gauge charges.
The model has a phase in which the $\phi$ bosons are gapped, and the $f$ fermions are gapless and critical, and so the electron spectral function is gapped.

$Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model · Around

Built on

K. Symanzik, “On Calculations in Conformal Invariant Field Theories,” Lett. Nuovo Cim. 3
Original
1972
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
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.
J. Ye, S. Sachdev, and N. Read, “Solvable spin glass of quantum rotors,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
M. Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
N. Read, S. Sachdev, and J. Ye, “Landau theory of quantum spin glasses of rotors and Ising spins,” Phys. Rev. B 52
1995
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.
S. Sachdev, Quantum Phase Transitions , 1st ed. (Cambridge University Press, Cambridge, UK, 1999)
1999
Earlier work this paper cites.
M. Platé, J. D. Mottershead, I. S. Elfimov, D. C. Peets, R. Liang, D. A. Bonn, W. N. Hardy, S. Chiuzbaian, M. Falub, M. Shi, L. Patthey, and A. Damascelli, “Fermi Surface and Quasiparticle Excitations of Overdoped Tl 2
2005
Earlier work this paper cites.
R. A. Cooper, Y. Wang, B. Vignolle, O. J. Lipscombe, S. M. Hayden, Y. Tanabe, T. Adachi, Y. Koike, M. Nohara, H. Takagi, C. Proust, and N. E. Hussey, “Anomalous Criticality in the Electrical Resistivity of La 2-x
2009
Earlier work this paper cites.
A. Rüegg, S. D. Huber, and M. Sigrist, “ ℤ 2 \mathbb{Z}_{2} -slave-spin theory for strongly correlated fermions,” Phys. Rev. B 81
Original
2010
Earlier work this paper cites.
N. Iqbal, H. Liu, M. Mezei, and Q. Si, “Quantum phase transitions in holographic models of magnetism and superconductors,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.
R. Nandkishore, M. A. Metlitski, and T. Senthil, “Orthogonal metals: The simplest non-Fermi liquids,” Phys. Rev. B 86
Original
2012
Earlier work this paper cites.

Similar

D. Podolsky and S. Sachdev, “Spectral functions of the Higgs mode near two-dimensional quantum critical points,” Phys. Rev. B 86
Original
2012
Cited alongside, same era.
Y. He, Y. Yin, M. Zech, A. Soumyanarayanan, M. M. Yee, T. Williams, M. C. Boyer, K. Chatterjee, W. D. Wise, I. Zeljkovic, T. Kondo, T. Takeuchi, H. Ikuta, P. Mistark, R. S. Markiewicz, A. Bansil, S. Sachdev, E. W. Hudson, and J. E. Hoffman, “Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor,” Science 344
Original
2014
Cited alongside, same era.
K. Fujita, C. K. Kim, I. Lee, J. Lee, M. H. Hamidian, I. A. Firmo, S. Mukhopadhyay, H. Eisaki, S. Uchida, M. J. Lawler, E.-A. Kim, and J. C. Davis, “Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking,” Science 344
Original
2014
Cited alongside, same era.
A. Y. Kitaev, “Talks at KITP, University of California, Santa Barbara,” Entanglement in Strongly-Correlated Quantum Matter (2015)
2015
Cited alongside, same era.

Then

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.
Y. Gu, A. Lucas, and X.-L. Qi, “Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains,” SciPost Phys. 2
Original
2017
Later among the works it cites.
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.
A. A. Patel, J. McGreevy, D. P. Arovas, and S. Sachdev, “Magnetotransport in a model of a disordered strange metal,” ArXiv e-prints (2017), arXiv:1712.05026 [cond-mat.str-el]
Original
2017
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…

N. Iqbal, H. Liu, and M. Mezei, “Quantum phase transitions in semilocal quantum liquids,” Phys. Rev. D D91

Original

2015

Cited alongside, same era.

S. Badoux, W. Tabis, F. Laliberté, G. Grissonnanche, B. Vignolle, D. Vignolles, J. Béard, D. A. Bonn, W. N. Hardy, R. Liang, N. Doiron-Leyraud, L. Taillefer, and C. Proust, “Change of carrier density at the pseudogap critical point of a cuprate superconductor,” Nature (London) 531

2016

Cited alongside, same era.

J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94

2016

Cited alongside, same era.

J. Maldacena, S. H. Shenker, and D. Stanford, “A bound on chaos,” Journal of High Energy Physics 2016

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,” PTEP 2016

2016

Cited alongside, same era.

S. Sachdev and D. Chowdhury, “The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals,” Progress of Theoretical and Experimental Physics 2016

2016

Cited alongside, same era.

F. F. Assaad and T. Grover, “Simple Fermionic Model of Deconfined Phases and Phase Transitions,” Physical Review X 6

Original

2016

Cited alongside, same era.

I. Božović, X. He, J. Wu, and A. T. Bollinger, “Dependence of the critical temperature in overdoped copper oxides on superfluid density,” Nature 536

2016

Cited alongside, same era.

J. Sonner and M. Vielma, “Eigenstate thermalization in the Sachdev-Ye-Kitaev model,” JHEP 11

2017

Later among the works it cites.

A. Kitaev and S. J. Suh, “The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual,” (2017), arXiv:1711.08467 [hep-th]

2017

Later among the works it cites.

J. Maldacena, D. Stanford, and Z. Yang, “Diving into traversable wormholes,” Fortsch. Phys. 65

2017

Later among the works it cites.

S. Gazit, M. Randeria, and A. Vishwanath, “Charged fermions coupled to ℤ 2 \mathbb{Z}_{2} gauge fields: Superfluidity, confinement and emergent Dirac fermions,” Nature Physics 13

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

2017

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,” ArXiv e-prints (2018), arXiv:1801.06178 [cond-mat.str-el]

2018

Closest in time.

S. Gazit, F. F. Assaad, S. Sachdev, A. Vishwanath, and C. Wang, “Confinement transition of ℤ 2 \mathbb{Z}_{2} gauge theories coupled to massless fermions: emergent QCD 3 and S O ( 5 ) SO(5) symmetry,” ArXiv e-prints (2018), arXiv:1804.01095 [cond-mat.str-el]

2018

Closest in time.

F. Mahmood, X. He, I. Bozovic, and N. P. Armitage, “Locating the missing superconducting electrons in overdoped cuprates,” ArXiv e-prints (2018), arXiv:1802.02101 [cond-mat.supr-con]

2018

Closest in time.