Universal Equilibrium Currents in the Quantum Hall Fluid

Abstract

The equilibrium current distribution in a quantum Hall fluid that is subjected to a slowly varying confining potential is shown to generally consist of strips or channels of current, which alternate in direction, and which have universal integrated strengths. A measurement of these currents would yield direct independent measurements of the proper quasiparticle and quasihole energies in the fractional quantum Hall states.

4 pages, Revtex

References in corpus (3)

• Currents in the Compressible and Incompressible Regions of the 2DEG
• Phase Separation of Edge States in the Integer Quantum Hall Regime
• Mesoscopic transport beyond linear response

Cited by in corpus (10)

• Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
• Aharonov-Bohm effect in the chiral Luttinger liquid
• Filling up complex spectral regions through non-Hermitian disordered chains
• Anisotropic Quantum Hall Droplets
• Local equilibrium charge and spin currents in two-dimensional topological systems
• Chiral persistent currents and magnetic susceptibilities in the parafermion quantum Hall states in the second Landau level with Aharonov-Bohm flux
• Magnetic Moment Oscillations in a Quantum Hall Ring
• Adiabatic Deformations of Quantum Hall Droplets
• Mesoscopic Effects in the Fractional Quantum Hall Regime
• Current density distribution for the quantum Hall effect