QLunch: A Non-Vanishing Spectral Gap for a 1/3-Filled Fractional Quantum Hall Spin Chain

Speaker: Amanda Young from TUM

Title: A Non-Vanishing Spectral Gap for a 1/3-Filled Fractional Quantum Hall Spin Chain

Abstract:
For a fractional quantum Hall (FQH) system, the Haldane pseudopotential describes the effect of interactions between 2D electrons in a partially filled Landau level. Models with two-body interactions in a magnetic field and periodic boundary conditions can be discretized to a one-dimensional lattice model with long-range interactions. We consider truncated version of this lattice model whose (maximally filled) ground state describes a 1/3-filled FQH state on a thin cylinder, and prove that there is a non-vanishing spectral gap above the ground state energy.