2026
✳ Quaternion-Kähler geometry of time reversal symmetric crystals
Preprint · 2026
Quaternionic quantum geometry of Kramers pairs and non-Abelian analogues of ideal bands.
HYEONGMUK LIM · THEORETICAL PHYSICS
Ideas at the intersection of geometry, topology, and quantum matter.
I study how the geometry of quantum states and the topology of energy bands shape the physics of condensed matter systems.
Department of Physics and Astronomy · Seoul National University
geometric structure of quantum states
RESEARCH AREAS
Questions that guide my work
gμν
01 / GEOMETRY
Quantum Geometry
How the geometry of Bloch states constrains response and correlation.
↗ν ∈ ℤ
02 / TOPOLOGY
Band Topology
Delicate invariants, Hopf structures, and unconventional transitions.
↗⟨Ψ|Ψ⟩
03 / QUANTUM MATTER
Many-Body Physics
Interaction effects and geometric approaches to correlated states.
↗SELECTED WORK
Selected publications
2024
✳ Unconventional topological phase transition of the Hopf insulator
Preprint · 2024
Why band-touching trajectories alone need not characterize a topological phase transition.
2023
✳ Real Hopf insulator
Physical Review B 108, 125101 (2023)
Delicate three-dimensional topology of real-valued four-band Hamiltonians.
OPEN NOTES
Learning in public.
Study notes and computational notebooks on topology, quantum field theory, and mathematical physics. Read in the browser or keep a local copy.
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