Research Experience

Overview

I am a condensed matter theorist studying emergent quantum phases in correlated-electron lattice models. My work focuses on how electron correlations, multiple orbitals, and spin-orbit coupling shape ground-state and dynamical behavior in systems such as excitonic insulators, orbital-selective Mott phases, moiré Wigner crystals, and altermagnets. More recently, I have also explored quantum annealing for non-equilibrium spin dynamics near quantum criticality.

I use complementary numerical approaches: unbiased methods (DMRG and exact diagonalization/Lanczos) together with controlled approximate methods (unrestricted Hartree-Fock, Monte Carlo, and Langevin dynamics). This multi-method strategy allows me to address diverse regimes of quantum materials. I also developed the highly efficient exact diagonalization package SCS_Lanczos, which has been used in several collaborative studies.

Selected Research Topics

Altermagnetism in Modified Lieb Lattice Hubbard Model

We investigated interaction-driven altermagnetism on the Lieb lattice as a model for quasi-2D oxychalcogenides. Using unrestricted Hartree-Fock and exact diagonalization, we identified spin-1/2 altermagnetic Mott insulating ground states at fillings of 2 and 4 electrons per unit cell.

We found characteristic spin splitting in both electronic and magnon spectra, consistent with an effective spin-1/2 Heisenberg description. We also obtained evidence for altermagnetic metallic behavior under electron and hole doping, including quasi-one-dimensional Fermi surfaces with $d_{x^2-y^2}$-wave spin splitting.

Generalized Wigner Crystals in Twisted Transition Metal Dichalcogenides

We studied moiré Hubbard physics in $\Gamma$-valley twisted TMD homobilayers (MoS2, MoSe2, WS2), where honeycomb moiré bands host strong correlation effects. Within this framework, we predicted a sequence of generalized Wigner crystals at fractional fillings using unrestricted Hartree-Fock.

These predictions were later supported by experiments on twisted MoSe2 bilayers, alongside related observations in other $\Gamma$-valley systems. In complementary work, we derived a moiré Kanamori-Hubbard model through Wannierization of composite low-energy bands, extending the theoretical description beyond standard multiorbital models.

Spin-Orbit Coupling Induced Magnetic Excitonic Insulator

We studied multi-orbital Hubbard models with strong atomic spin-orbit coupling, motivated by 4d/5d transition-metal oxides where single-orbital descriptions are inadequate. Using DMRG and unrestricted Hartree-Fock, we established antiferromagnetism driven by spin-orbit exciton condensation at momentum $\pi$.

In follow-up studies with dynamical DMRG and exact diagonalization, we clarified the collective dynamics of the excitonic condensate and identified a multi-branch optical mode in addition to a low-energy Goldstone-like mode. This optical response provides a practical experimental fingerprint (e.g., for inelastic neutron scattering) in candidate materials including OsCl4, Sr3NaIrO6, Sr2YIrO6, Ba2YIrO6, and Ca2RuO4.

Quantum Computation via Quantum Annealing

We use coherent quantum annealing as a practical route to simulate non-equilibrium magnetic dynamics near quantum critical points. In collaboration with D-Wave Systems, we used superconducting annealers to study Schrödinger dynamics across multiple spin models, including higher-dimensional spin glasses.

By benchmarking against state-of-the-art classical methods (tensor-network approaches such as MPS/PEPS and neural-network methods), we observed area-law entanglement trends and identified regimes where classical computational cost rises rapidly. These results position quantum annealers as promising tools for dynamics that are difficult to simulate classically.