Persistent edge currents for paired quantum hall states

Abstract

We study the behavior of the persistent edge current for paired quantum Hall states on the cylinder. We show that the currents are periodic with the unit flux ${\varphi }_0=hc/e$. At low temperatures, they exhibit anomalous oscillations in their flux dependence.The shape of the functions converges to the sawtooth function periodic with ${\varphi }_0/2$.

RevTex 8 pages. one figure. to appear in Phys.Rev.B

References in corpus (2)

• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Pairing Effects in the Edge of Paired Quantum Hall States

Cited by in corpus (5)

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• The nu=5/2 quantum Hall state revisited: spontaneous breaking of the chiral fermion parity and phase transition between abelian and non-abelian statistics
• Relativistic fermion on a ring: Energy spectrum and persistent current
• Persistent current of relativistic electrons on a Dirac ring in presence of impurities
• Chiral persistent currents and magnetic susceptibilities in the parafermion quantum Hall states in the second Landau level with Aharonov-Bohm flux