Laughlin states on the Poincare half-plane and its quantum group symmetry

Abstract

We find the Laughlin states of the electrons on the Poincare half-plane in different representations. In each case we show that there exist a quantum group $s{u}_q(2)$ symmetry such that the Laughlin states are a representation of it. We calculate the corresponding filling factor by using the plasma analogy of the FQHE.

9 pages,Latex

References in corpus (6)

• Quantum mechanics and quantum Hall effect on Riemann surfaces
• Area-preserving diffeomorphisms, W_{\infty} and $U_{q}(sl(2)) in Chern-Simons theory and Quantum Hall system
• Landau Levels and Quantum Group
• Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus
• Laughlin states on the sphere as representations of Uq(sl(2))
• Quantum group symmetry of the Quantum Hall effect on the non-flat surfaces

Cited by in corpus (5)

• Effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots
• Thermodynamic Properties of a Quantum Group Boson Gas $G{L}_{p,q}(2)$
• Quantum Hall effect on the Lobachevsky plane
• Coulomb gas representation of quantum Hall effect on Riemann surfaces
• Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))