Persistent Edge Current In the Fractional Quantum Hall Effect

Details Persistent Edge Current In the Fractional Quantum Hall Effect Persistent Edge Current In the Fractional Quantum Hall Effect

1998-09-19

arxiv.org/abs/cond-mat/9809261v1

Phys.Rev.Lett. 81 (1998) 5908-5911

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTex. 4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.81.5908

We study the persistent edge current in the fractional quantum Hall effect. We give the grand partition functions for edge excitations of hierarchical states coupled to an Aharanov-Bohm flux and derive the exact formula of the persistent edge current. For $m$-th hierarchical states with $m>1$, it exhibits anomalous oscillations in its flux dependence at low temperatures. The current as a function of flux goes to the sawtooth function with period $\phi_0/m$ in the zero temperature limit. This phenomenon provides a new evidence for exotic condensation in the fractional quantum Hall effect. We propose experiments of measuring the persistent edge current to confirm the existence of the hierarchy.

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