Exact wavefunctions for excitations of the nu=1/3 fractional quantum Hall state from a model Hamiltonian

Paul Soulé ¹, Thierry Jolicoeur ¹

Physical Review B (Condensed Matter) 85 (2012) 155116

We study fractional quantum Hall states in the cylinder geometry with open boundaries. By truncating the Coulomb interactions between electrons we show that it is possible to construct infinitely many exact eigenstates including the ground state, quasiholes, quasielectrons and the magnetoroton branch of excited states.

• 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
  CNRS : UMR8626 – Université Paris XI – Paris Sud