Research
“The real purpose of science is to understand the deep structure of nature.”
My research focuses on the intersection of condensed matter theory, topological phases, and quantum many-body physics. I am particularly interested in high-dimensional generalizations of the quantum Hall effect and the role of geometry and topology in strongly correlated electron systems.
Research Areas
Highlighted Work
In this PRL paper, we constructed microscopic wavefunctions on a four-dimensional sphere, derived an exact pseudopotential Hamiltonian, and proved the existence of an incompressible fractional quantum Hall liquid in 4D—providing a foundation for studying high-dimensional quantum Hall physics.
Collaborations & Facilities
I work closely with the Wu Group at Westlake University, combining analytical field theory with large-scale numerical simulations. We also collaborate with experimental groups on topological materials and quantum devices.
Future Directions
- Exploring higher-dimensional generalizations of the fractional quantum Hall effect.
- Connecting geometric invariants (e.g., Chern numbers) to observables in quantum matter.
- Developing efficient numerical methods for interacting topological systems.
- Understanding the role of quantum entanglement in topological order.
