Baldwin, CL;
Laumann, CR;
Pal, A;
Scardicchio, A;
(2017)
Clustering of Nonergodic Eigenstates in Quantum Spin Glasses.
Physical Review Letters
, 118
(12)
, Article 127201. 10.1103/physrevlett.118.127201.
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Abstract
The two primary categories for eigenstate phases of matter at a finite temperature are many-body localization (MBL) and the eigenstate thermalization hypothesis (ETH). We show that, in the paradigmatic quantum p -spin models of the spin-glass theory, eigenstates violate the ETH yet are not MBL either. A mobility edge, which we locate using the forward-scattering approximation and replica techniques, separates the nonergodic phase at a small transverse field from an ergodic phase at a large transverse field. The nonergodic phase is also bounded from above in temperature, by a transition in configuration-space statistics reminiscent of the clustering transition in the spin-glass theory. We show that the nonergodic eigenstates are organized in clusters which exhibit distinct magnetization patterns, as characterized by an eigenstate variant of the Edwards-Anderson order parameter.
| Type: | Article |
|---|---|
| Title: | Clustering of Nonergodic Eigenstates in Quantum Spin Glasses |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physrevlett.118.127201 |
| Publisher version: | https://doi.org/10.1103/physrevlett.118.127201 |
| Language: | English |
| Additional information: | This version is the author version of record. 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-pp.ucl.ac.uk/id/eprint/10084497 |
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