On transport in quantum Hall systems with constrictions

Abstract

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the constriction is seen to arise from the matching of the properties of the edge-current excitations in the constriction (${\nu }_2$) and bulk (${\nu }_1$) regions. We develop a hydrodynamic theory for bosonic edge modes inspired by this model, finding that a competition between two tunneling process, related by a quasiparticle-quasihole symmetry, determines the fate of the low-bias transmission conductance. In this way, we find satisfactory explanations for many recent puzzling experimental results.

4 pages, 4 figures

References in corpus (2)

• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Metal-Insulator Transition Tuned by External Gates in Hall Systems with Constrictions

Cited by in corpus (3)

• Particle-hole symmetry and the Pfaffian state
• Signatures of neutral quantum Hall modes in transport through low-density constrictions
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact