Abstract
We study the quantum phase transition upon varying the fermionic density ν in a solvable model with random Yukawa interactions between N bosons and M fermions, dubbed the Yukawa-SYK model. We show that there are two distinct phases in the model: An incompressible state with gapped excitations and an exotic quantum-critical, non-Fermi liquid state with exponents varying with ν. We show analytically and numerically that the quantum phase transition between these two states is first-order, as for some range of ν the NFL state has a negative compressibility. In the limit N/M→∞, the first-order transition gets weaker and asymptotically becomes second-order, with an exotic quantum-critical behavior. We show that fermions and bosons display highly unconventional spectral behavior in the transition region.
| Original language | English (US) |
|---|---|
| Article number | 033084 |
| Journal | Physical Review Research |
| Volume | 2 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2020 |
Bibliographical note
Publisher Copyright:© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.