Laughlin's function on a cylinder: plasma analogy and representation as a quantum polymer

Abstract

We investigate Laughlin's fractional quantum Hall effect wave function in the cylinder geometry of Laughlin's integer quantum Hall effect argument, at filling factor 1/3. We show that the plasma analogy leads to a periodic density, and that the wave function admits a representation as a ``quantum polymer'', reminiscent of the quantum dimer model by Rokhsar and Kivelson. We explain how the representation can be exploited to compute the normalization and one-particle density in the limit of infinitely many particles.

11 pages, 2 figures

References in corpus (2)

• Incompressible Quantum Liquids and New Conservation Laws
• Translation Symmetry Breaking in the One-Component Plasma on the Cylinder

Cited by in corpus (7)

• Emergent Kinetics and Fractionalized Charge in 1D Spin-Orbit Coupled Flatband Optical Lattices
• Symmetry breaking in Laughlin's state on a cylinder
• Fermionic and bosonic Laughlin state on thick cylinders
• Jastrow-Correlated Wavefunctions for Flat-Band Lattices
• Exclusion statistics for quantum Hall states in Tao-Thouless limit
• Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics
• Large deviations in the quantum quasi-1D jellium