Zhen Bi

Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model

We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the chaotic non-Fermi liquid phase described by the ordinary

Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems

q = 4

Bridging fermionic and bosonic short range entangled states

SYK model has marginally relevant/irrelevant (depending on the sign of the coupling constants) four-fermion perturbations allowed by symmetry. Changing the sign of one of these four-fermion perturbations leads to a continuous chaotic-nonchaotic quantum phase transition of the system accompanied by a spontaneous time-reversal symmetry breaking. Starting with the SYK

Anyon and Loop Braiding Statistics in Field Theories with a Topological

_q

\Theta

model with a

-term

q-

Quantum Phase Transitions Between Bosonic Symmetry Protected Topological States Without Sign Problem: Nonlinear Sigma Model with a Topological Term

fermion interaction, similar perturbations can lead to a series of new interacting conformal field theory fixed points.

Exotic quantum critical point on the surface of three-dimensional topological insulator

We show that the out-of-time-order correlation (OTOC)

Classification and Description of Bosonic Symmetry Protected Topological Phases with semiclassical Nonlinear Sigma models

\langle W(t)^\dagger V(0)^\dagger W(t)V(0)\rangle

Wave Function and Strange Correlator of Short Range Entangled states

in many-body localized (MBL) and marginal MBL systems can be efficiently calculated by the spectrum bifurcation renormalization group (SBRG). We find that in marginal MBL systems, the scrambling time