Universal Equilibrium Currents in the Quantum Hall Fluid

TL;DR

This paper reveals that equilibrium currents in quantum Hall fluids form universal, alternating strips with measurable integrated strengths, providing a new way to determine quasiparticle and quasihole energies.

Contribution

It demonstrates that equilibrium current distributions in quantum Hall fluids are composed of universal, alternating current strips with measurable integrated strengths, linking to quasiparticle energies.

Findings

Current strips alternate in direction and have universal integrated strengths.

Measuring these currents can directly determine quasiparticle and quasihole energies.

The current distribution pattern is generally applicable to quantum Hall fluids under slow potential variations.

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.