Condensed Matter Theory Seminar - Xin Dai (The Ohio State University) - The Global Phase Diagram of 1-D SYK Model

Xin Dia - The Ohio State University - 10/30/18 Condensed Matter Theory seminar speaker
October 29, 2018
11:30AM - 12:30PM
1080 Physics Research Building - Smith Seminar Room

Date Range
2018-10-29 11:30:00 2018-10-29 12:30:00 Condensed Matter Theory Seminar - Xin Dai (The Ohio State University) - The Global Phase Diagram of 1-D SYK Model We will present some intriguing results of 1-D SYK model from the perspective of localization physics. The model consists $N$ fermions per site with random interactions and hoppings between neighboring sites. It is Anderson localized at finite $N$ in the non-interacting limit and many-body localized below a critical interaction strength. In the thermalized phase, the model exhibit systematically Z_2 oscillation, in terms of energy spectrum and entanglement dynamics, which may provide some insights to the interaction-enabled SPT phase in higher dimensions.   Ref: arXiv 1802.10029   1080 Physics Research Building - Smith Seminar Room America/New_York public

We will present some intriguing results of 1-D SYK model from the perspective of localization physics.

The model consists $N$ fermions per site with random interactions and hoppings between neighboring sites. It is Anderson localized at finite $N$ in the non-interacting limit and many-body localized below a critical interaction strength.

In the thermalized phase, the model exhibit systematically Z_2 oscillation, in terms of energy spectrum and entanglement dynamics, which may provide some insights to the interaction-enabled SPT phase in higher dimensions.

 

Ref: arXiv 1802.10029