Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States

Abstract

We report on the cascade of quantum phase transitions exhibited by tunnel-coupled edge states across a quantum Hall line junction. We identify a series of quantum critical points between successive strong and weak tunneling regimes in the zero-bias conductance. Scaling analysis shows that the conductance near the critical magnetic fields $B_c$ is a function of a single scaling argument $|B-B_c|T^{-\kappa }$, where the exponent $\kappa =0.42$. This puzzling resemblance to a quantum Hall-insulator transition points to importance of interedge correlation between the coupled edge states.

4 pages, 3 figures

Cited by in corpus (6)

• Electron transport in disordered Luttinger liquid
• Line junction in a quantum Hall system with two filling fractions
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Zero-Bias Anomalies in Narrow Tunnel Junctions in the Quantum Hall Regime
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Laterally coupled and field-induced quantum Hall systems