Back to Search
Start Over
Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model.
- Source :
-
Physical Review Letters . 11/17/2017, Vol. 119 Issue 20, p1-1. 1p. - Publication Year :
- 2017
-
Abstract
- The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality, and maximally chaotic behavior. In this work, we consider a generalization of the SYK model that contains two SYK models with a different number of Majorana modes coupled by quadratic terms. This model is also solvable, and the solution shows a zero-temperature quantum phase transition between two non-Fermi liquid chaotic phases. This phase transition is driven by tuning the ratio of two mode numbers, and a nonchaotic Fermi liquid sits at the critical point with an equal number of modes. At a finite temperature, the Fermi liquid phase expands to a finite regime. More intriguingly, a different non-Fermi liquid phase emerges at a finite temperature. We characterize the phase diagram in terms of the spectral function, the Lyapunov exponent, and the entropy. Our results illustrate a concrete example of the quantum phase transition and critical behavior between two non-Fermi liquid phases. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FERMI liquids
*QUANTUM phase transitions
Subjects
Details
- Language :
- English
- ISSN :
- 00319007
- Volume :
- 119
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- Physical Review Letters
- Publication Type :
- Academic Journal
- Accession number :
- 126353894
- Full Text :
- https://doi.org/10.1103/PhysRevLett.119.207603