English

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

Condensed Matter 2016-08-15 v1

Abstract

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 VgV_g --- both the average ring charge and the persistent current in the ring are step-like functions of VgV_g at low temperatures. The step positions are determined by the LL parameter α=vF/s\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.

Keywords

Cite

@article{arxiv.cond-mat/9509162,
  title  = {Coulomb Blockade-Effects on Quantization of Charge and Persistent Current in a Luttinger-Liquid Ring},
  author = {I. V. Krive and P. Sandström and R. I. Shekhter and M. Jonson},
  journal= {arXiv preprint arXiv:cond-mat/9509162},
  year   = {2016}
}

Comments

12 pages, RevTex, uuencoded figures