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

TL;DR

This paper constructs exact wavefunctions for various excitations of the nu=1/3 fractional quantum Hall state using a truncated Coulomb interaction model in cylinder geometry, revealing new solvable states.

Contribution

It introduces a method to generate infinitely many exact eigenstates, including ground and excited states, for the fractional quantum Hall system with truncated interactions.

Findings

Exact eigenstates include ground, quasiholes, quasielectrons, and magnetoroton states.

Infinite family of solutions constructed via interaction truncation.

Applicable in cylinder geometry with open boundaries.

Abstract

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.