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 $α=v_F/s$ , which therefore can be directly measured. We study electrons both with and without spin, taking into account long-range interactions in the ring.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 $α=v_F/s$, which therefore can be directly measured. We study electrons both with and without spin, taking into account long-range interactions in the ring.

arXiv:cond-mat/9509162Sep 26, 19950 citations

Probing Luttinger Liquids

ScienceMar 31, 20050 citations

Transport in Luttinger Liquids

Thierry Giamarchi, Thomas Nattermann, Pierre Le Doussal

Springer eBooksJan 1, 20040 citations

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

α=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.