Hubbard model physics in semiconductor moiré materials

Kin-​Fai Mak
(Cornell University, USA)

Semiconductor moiré materials are metamaterials built on artificial “moiré atoms”. They realize a highly controllable Hubbard Hamiltonian and provide a unique opportunity to address some long-standing questions in condensed matter physics. In this talk, I will discuss the complex Hubbard phase diagram realized in these materials by tuning the electronic chemical potential and interaction strength. Specific examples include the Mott and Wigner-Mott insulators, as well as the associated quantum phase transitions from these insulators to Landau Fermi liquids. In addition to fermionic physics, I will also discuss the realization of strongly correlated bosonic physics in a moiré lattice.