Orbital Mott transition in two dimensional Pyrochlore lattice

We study orbital Mott transition in two dimensional pyrochlore lattice, using a two orbital Hubbard model with only inter-orbital electronic hopping. We use a real space Monte Carlo based approach to study the model at finite temperature, and establish temperature-interaction phase diagrams that highlight the Mott transition, orbital ordering, and spectral trends, and possible window of pseudo gap. Due to only inter-orbital hopping, the Mott insulator `generates’ ferro exchange resulting in ferro-orbital ordering, with T${}_{corr}\mathrm{/}t$ peaked at $\approx$ 0.2 around $U\mathrm{/}t\approx 6$. The optical conductivity shows unusual two peak feature due to two dimensional pyrochlore lattice.