Recent Highlights:

A. Unifed Approach to 2D Magnetism from Quantum Electrodynamics:

Xue-Yang Song, Y.-C. He, A. Vishwanath, and C. Wang

1. From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spMonopole Quantum Numbersin liquids: 

 Phys. Rev. X 10, 011033 (2020)

2. Unifying description of competing orders in two-dimensional quantum magnets

Nature Communications (2019) .

Reviewed in: "Quantum electrodynamics in a piece of rock" by John MacGreevy (UCSD) in Nature Reviews Physics (2019) "Gauge theories, such as quantum electrodynamics, are a cornerstone of high-energy particle physics. They may also describe the physics of certain unassuming materials. Recent theoretical work moves this idea closer to reality."

B. : Exactly Soluble Floquet Models and Sine-Square Deformed CFTsHeating Phase - Hot Spots

Ruihua Fan, Y. Gu, A. Vishwanath, and Xueda Wen

Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory: [pdf] 


Other Research:

Fermion-Vortex Duality & Interacting
Topological Phase


Skyrmion Lattices and MnSi

Weyl Fermions

Filling Constraints on Quantum Phases

Quantum Phases Far from Equilibrium

Frustrated Magnetism