Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States

Details Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States

2003-11-03

arxiv.org/abs/cond-mat/0311022v2

Phy. Rev. Lett. 92, 056802 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.92.056802

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.

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