Exchange Interactions of a Wigner Crystal in a Magnetic Field and Berry Curvature: Multi-Particle Tunneling through Complex Trajectories

Kyung-Su Kim

We study how an out-of-plane magnetic field $B(\mathbf{r})$ and a Berry curvature $\Omega (\mathbf{k})$ modify the exchange interactions in a two-dimensional Wigner crystal (WC) using a semi-c…