Mesoscopic Luttinger Liquid Theory in an Aharonov-Bohm Ring

Abstract

A careful study on the mesoscopic PC in a Luttinger liquid ring is carried out. It is shown that discreteness plays an important role in calculating the PC caused by the magnetic flux. At zero temperature, the current is shown to be independent of the interaction even when $g=g_2-g_4$ is not zero. The current becomes enhanced at finite temperatures comparing to the non-interacting case, when the parameter g is positive.

4 pages, 2 figures. Version to appear in PRB

References in corpus (3)

• Bosonization for Beginners --- Refermionization for Experts
• From the Fermi glass towards the Mott insulator in one dimension: Delocalization and strongly enhanced persistent currents
• Transport of a Luttinger liquid in the presence of a time dependent impurity

Cited by in corpus (3)

• Renormalization group study of the conductances of interacting quantum wire systems with different geometries
• Chiral persistent currents and magnetic susceptibilities in the parafermion quantum Hall states in the second Landau level with Aharonov-Bohm flux
• Diamagnetic response of Aharonov-Bohm rings: Impurity backward scatterings