Dieplinger, Johannes and Bera, Soumya and Evers, Ferdinand (2021) An SYK-inspired model with density-density interactions: Spectral & wave function statistics, Green's function and phase diagram. ANNALS OF PHYSICS, 435: 168503. ISSN 0003-4916, 1096-035X
Full text not available from this repository. (Request a copy)Abstract
The Sachdev-Ye-Kitaev (SYK) model is a rare example of a strongly-interacting system that is analytically tractable. Tractability arises because the model is largely structureless by design and therefore artificial: while the interaction is restricted to two-body terms, interaction matrix elements are "randomized" and therefore the corresponding interaction operator does not commute with the local density. Unlike conventional density-density-type interactions, the SYK-interaction is, in this sense, not integrable. We here investigate a variant of the (complex) SYK model, which restores this integrability. It features a randomized single-body term and a density-density-type interaction. We present numerical investigations suggesting that the model exhibits two integrable phases separated by several intermediate phases including a chaotic one. The chaotic phase carries several characteristic SYK-signatures including in the spectral statistics and the frequency scaling of the Green's function and therefore should be adiabatically connected to the non-Fermi liquid phase of the original SYK model. Thus, our model Hamiltonian provides a bridge from the SYK-model towards microscopic realism. (C) 2021 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM; BEHAVIOR; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Ferdinand Evers |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Aug 2022 13:21 |
| Last Modified: | 09 Aug 2022 13:21 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46244 |
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