Signatures of fractional exclusion statistics in the spectroscopy of quantum Hall droplets.
Physical review letters 114:10 (2015) 106802
Abstract:
We show how spectroscopic experiments on a small Laughlin droplet of rotating bosons can directly demonstrate Haldane fractional exclusion statistics of quasihole excitations. The characteristic signatures appear in the single-particle excitation spectrum. We show that the transitions are governed by a "many-body selection rule" which allows one to relate the number of allowed transitions to the number of quasihole states on a finite geometry. We illustrate the theory with numerically exact simulations of small numbers of particles.Josephson-coupled Moore-Read states
Physical Review B American Physical Society (APS) 90:23 (2014) 235101
Exact solutions of fractional Chern insulators: Interacting particles in the Hofstadter model at finite size
Physical Review B American Physical Society (APS) 90:11 (2014) 115132
Perturbative approach to flat Chern bands in the Hofstadter model
Physical Review B American Physical Society (APS) 90:7 (2014) 075104
Induced Self-Stabilization in Fractional Quantum Hall States of Light
Physical Review X American Physical Society (APS) 4:3 (2014) 031039