Exact parent Hamiltonians for all Landau level states in a half-flux lattice
Xin Shen, Guangyue Ji, Jinjie Zhang, David E. Palomino, Bruno Mera, Tomoki Ozawa, and Jie Wang
Phys. Rev. A 113, L050201 (2026) - Published 15 May, 2026
The authors construct Hofstadter Hamiltonians with exactly flat bands whose wave functions can realize the states of any Landau level on the lattice. It opens up a route towards engineering exotic many-body states with ultracold atoms in optical lattices.











