Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States

2003/11/30 by I. Yang, W. Kang, K. W. Baldwin +2
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.92.056802

published as Phy. Rev. Lett. 92, 056802 (2004) · 4 pages, 3 figures

arxiv created 2004/02/04 · arxiv updated 2009/12/01

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^-κ, where the exponent κ= 0.42. This puzzling resemblance to a quantum Hall-insulator transition points to importance of interedge correlation between the coupled edge states.

Related

• The Edge-State Theory of Integer-Quantum-Hall-Effect to Insulator Transition
• Criticality in the crossed Andreev reflection of a quantum Hall edge
• The Mesoscopic Quantum-Hall-Insulator Transition
• Electron Interactions and Transport between Coupled Quantum Hall Edge States
• Tunneling gap of laterally separated quantum Hall states