Sachdev–Ye–Kitaev model as Liouville quantum mechanics

Bagrets, Dmitry; Altland, Alexander; Kamenev, Alex

doi:10.1016/j.nuclphysb.2016.08.002

Title: Sachdev–Ye–Kitaev model as Liouville quantum mechanics

Journal Article · Sat Oct 01 00:00:00 EDT 2016 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2016.08.002· OSTI ID:1287750

Bagrets, Dmitry; Altland, Alexander; Kamenev, Alex

Here, we show that the proper inclusion of soft reparameterization modes in the Sachdev–Ye–Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics.

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Research Organization:: Univ. zu Koln, Koln (Germany)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-08ER46482

OSTI ID:: 1287750

Alternate ID(s):: OSTI ID: 1361409

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 911 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 181 works

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References (9)

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Dynamics of the dissipative two-state system Leggett, A. J.; Chakravarty, S.; Dorsey, A. T. Reviews of Modern Physics, Vol. 59, Issue 1 https://doi.org/10.1103/RevModPhys.59.1	journal	January 1987
Liouville Theory as a Model for Prelocalized States in Disordered Conductors Kogan, Ian I.; Mudry, C.; Tsvelik, A. M. Physical Review Letters, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevLett.77.707	journal	July 1996
Diffusion and Localization in a Dissipative Quantum System Schmid, Albert Physical Review Letters, Vol. 51, Issue 17 https://doi.org/10.1103/PhysRevLett.51.1506	journal	October 1983
Effective theory for midgap states in doped spin-ladder and spin-Peierls systems: Liouville quantum mechanics Shelton, David G.; Tsvelik, Alexei M. Physical Review B, Vol. 57, Issue 22 https://doi.org/10.1103/PhysRevB.57.14242	journal	June 1998
Electron-electron interactions in disordered metals: Keldysh formalism Kamenev, Alex; Andreev, Anton Physical Review B, Vol. 60, Issue 4 https://doi.org/10.1103/PhysRevB.60.2218	journal	July 1999
Liouville Field Theory: a Decade After the Revolution Nakayama, Yu International Journal of Modern Physics A, Vol. 19, Issue 17n18 https://doi.org/10.1142/S0217751X04019500	journal	July 2004
Delocalization transition via supersymmetry in one dimension Balents, Leon; Fisher, Matthew P. A. Physical Review B, Vol. 56, Issue 20 https://doi.org/10.1103/PhysRevB.56.12970	journal	November 1997
Liouville theory revisited Teschner, J. Classical and Quantum Gravity, Vol. 18, Issue 23 https://doi.org/10.1088/0264-9381/18/23/201	journal	November 2001

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