Persistent Current of a OneDimensional Wigner CrystalRing
Abstract
We calculate the magnetic moment (`persistent current') in a strongly correlated electron system  a Wigner crystal  in a onedimensional ballistic ring. The flux and temperature dependence of the persistent current is shown to be essentially the same as for a system of noninteracting 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 eprints
 Pub Date:
 April 1994
 arXiv:
 arXiv:condmat/9404072
 Bibcode:
 1994cond.mat..4072K
 Keywords:

 Condensed Matter
 EPrint:
 13 pages LaTeX v3.14 with RevTeX v3.0, 1 fig available on request APR 9321