Persistent Current of a One-Dimensional Wigner Crystal-Ring
Abstract
We calculate the magnetic moment (`persistent current') in a strongly correlated electron system --- a Wigner crystal --- in a one-dimensional ballistic ring. The flux- and temperature dependence of the persistent current is shown to be essentially the same as for a system of non-interacting electrons. In contrast, by incorporating into the ring geometry a tunnel barrier, that pins the Wigner crystal, the current is suppressed and its temperature dependence is drastically changed. The competition between two temperature effects --- a reduced barrier height for macroscopic tunneling and a loss of quantum coherence --- results in a sharp peak in the temperature dependence, which for a rigid Wigner crystal appears at $T\sim 0.5\ \hbar s/L$, ($s$ is the sound velocity of the Wigner crystal, $L$ is the length of the ring).
- Publication:
-
arXiv e-prints
- Pub Date:
- April 1994
- DOI:
- 10.48550/arXiv.cond-mat/9404072
- arXiv:
- arXiv:cond-mat/9404072
- Bibcode:
- 1994cond.mat..4072K
- Keywords:
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- Condensed Matter
- E-Print:
- 13 pages LaTeX v3.14 with RevTeX v3.0, 1 fig available on request APR 93-21