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

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.

7 pages, 3 figures, longer published version

References in corpus (7)

• Fractional Quantum Hall States and Jack Polynomials
• Quantum Hall system in Tao-Thouless limit
• Half-Filled Lowest Landau Level on a Thin Torus
• Topological Entanglement and Clustering of Jain Hierarchy States
• One-Dimensional Theory of the Quantum Hall System
• Microscopic theory of the quantum Hall hierarchy
• Exclusion statistics for quantum Hall states in Tao-Thouless limit

Cited by in corpus (11)

• Matrix Product States for Trial Quantum Hall States
• Geometric construction of Quantum Hall clustering Hamiltonians
• Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
• Solvable models for unitary and non-unitary topological phases
• Low-complexity eigenstates of a $\nu =1/3$ fractional quantum Hall system
• Edge properties of principal fractional quantum Hall states in the cylinder geometry
• The spectral gap of a fractional quantum Hall system on a thin torus
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• Many-body study of a quantum point contact in the fractional quantum Hall regime at v=5/2
• Bubble phase at $\nu =1/3$ for a spinless hollow-core interaction
• Rotating anisotropic Bose gas with large number of vortices