Coulomb Blockade-Effects on Quantization of Charge and Persistent Current in a Luttinger-Liquid Ring

Details Coulomb Blockade-Effects on Quantization of Charge and Persistent Current in a Luttinger-Liquid Ring Coulomb Blockade-Effects on Quantization of Charge and Persistent Current in a Luttinger-Liquid Ring

1995-09-26

arxiv.org/abs/cond-mat/9509162v1

Physics

Condensed Matter

12 pages, RevTex, uuencoded figures

Scientific paper

We show that in a ring-shaped Luttinger Liquid (LL) in contact with an electron reservoir --- the chemical potential in the ring being controlled by a gate voltage $V_g$ --- both the average ring charge and the persistent current in the ring are step-like functions of $V_g$ at low temperatures. The step positions are determined by the LL parameter $\alpha=v_F/s$, which therefore can be directly measured. We study electrons both with and without spin, taking into account long-range interactions in the ring.

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