Theoretical physics · Research notebook
Hello, I’m Maggie.
I study topological quantum matter, strongly correlated systems, and high-dimensional generalizations of the quantum Hall effect.
“There’s plenty of room at the bottom.” Richard Feynman
Hello! I am Maggie Xheuw, a Ph.D. candidate in Physics at Westlake University, supervised by Prof. Congjun Wu.
My research lies at the intersection of topological phases of matter, quantum many-body systems, and high-dimensional generalizations of quantum Hall effects. I am particularly fascinated by how geometry and topology manifest in strongly correlated electron systems.
Recently, as co-first author, I contributed to a work published in Physical Review Letters (PRL 136, 116501), titled “Incompressible Quantum Hall Liquid on the Four-Dimensional Sphere”[1]. In this work, we formulated microscopic wavefunctions on a four-dimensional sphere inspired by Laughlin's seminal work. Using a generalized pseudopotential framework, we derived an exact microscopic Hamiltonian and demonstrated the existence of an incompressible quantum Hall liquid in four dimensions.
What lives in this notebook
This blog is my personal space to share what I learn and connect with fellow researchers. You will find:
- Study notes on quantum field theory, group theory, topology, and mathematical physics.
- Code and computation for numerical simulations, symbolic work, and scientific data analysis.
- Paper reviews and critical discussions of recent preprints and conference lectures.
- Research reflections on academia, productivity, collaboration, and scientific culture.
Selected publication
Incompressible Quantum Hall Liquid on the Four-Dimensional Sphere
Physical Review Letters 136, 116501 (2026)
