Laumann, CR;
Pal, A;
Scardicchio, A;
(2015)
Many-Body Mobility Edge in a Mean-Field Quantum Spin Glass.
Physical Review Letters
, 113
(20)
, Article 200405. 10.1103/physrevlett.113.200405.
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Abstract
The quantum random energy model provides a mean-field description of the equilibrium spin glass transition. We show that it further exhibits a many-body localization–delocalization (MBLD) transition when viewed as a closed quantum system. The mean-field structure of the model allows an analytically tractable description of the MBLD transition using the forward-scattering approximation and replica techniques. The predictions are in good agreement with the numerics. The MBLD transition lies at energy density significantly above the equilibrium spin glass transition, indicating that the closed system dynamics freezes well outside of the traditional glass phase. We also observe that the structure of the eigenstates at the MBLD critical point changes continuously with the energy density, raising the possibility of a family of critical theories for the MBLD transition.
| Type: | Article |
|---|---|
| Title: | Many-Body Mobility Edge in a Mean-Field Quantum Spin Glass |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physrevlett.113.200405 |
| Publisher version: | http://doi.org/10.1103/physrevlett.113.200405 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10084505 |
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