Field Theoretical Description of Quantum Hall Edge Reconstruction

Details Field Theoretical Description of Quantum Hall Edge Reconstruction Field Theoretical Description of Quantum Hall Edge Reconstruction

2003-02-17

arxiv.org/abs/cond-mat/0302344v1

Phys. Rev. Lett. 91, 036802 (2003).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages with 1 ps figure embedded

Scientific paper

10.1103/PhysRevLett.91.036802

We propose a generalization of the chiral Luttinger liquid theory to allow for a unified description of quantum Hall edges with or without edge reconstruction. Within this description edge reconstruction is found to be a quantum phase transition in the universality class of one-dimensional dilute Bose gas transition, whose critical behavior can be obtained exactly. At principal filling factors $\nu=1/m$, we show the additional edge modes due to edge reconstruction modifies the point contact tunneling exponent in the low energy limit, by a small and non-universal amount.

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