Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227622Consider $Γ$, a non-degenerate lattice in $\R^2$ and a constant magnetic field $B$ with a flux though a cell of $Γ$ that is a rational multiple of $2π$. We prove that for a generic $Γ$-periodic potential $V$, the spectrum of the Landau Hamiltonian with magnetic field $B$ and periodic potential $V$ is purely absolutely continuous.Mathematical Physics82B44, 47B80, 47N55, 81Q10Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potentialtext