Topological bands and quantum transport

Topological quantum matter

I study lattice models where topology is visible in both momentum-space diagnostics and real-space transport. Typical questions include how Berry curvature is distributed near valley gaps, how Chern-number changes appear in finite systems, and how edge modes evolve with layer number, mass terms, and interlayer coupling.

Quantum transport

My transport work focuses on conductance and Hall response in finite geometries. I use numerical Green-function and Kubo-style calculations to compare bulk band features, ribbon spectra, and terminal measurements under different boundary and dephasing conditions.

Computational workflow

I maintain reproducible notebooks and batch simulation workflows for parameter sweeps, visualization, and result validation. The goal is to keep the physics interpretation tied to direct numerical evidence: band structures, Berry-curvature maps, Hall curves, and finite-size comparisons.

Methods

• Tight-binding Hamiltonians for graphene and Haldane-type systems
• Berry curvature and Chern-number diagnostics
• Kubo response and transport calculations
• Python scientific computing, Jupyter notebooks, and HPC batch workflows