Michael G. Scheer

A hierarchy of exact lower bounds on the Laughlin spectral gap

We develop a bootstrap approach to deriving lower bounds on the spectral gap of the first Haldane pseudopotential Hamiltonian on the sphere with $N_\Phi$ flux quanta for arbitrary $N_\Phi$, including in the thermodynamic limit $N_\Phi \to \infty$. Our approach can in principle be generalized to pseudopotentials describ...