
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