Mesoscopic Charge Density Wave in a Magnetic Flux

Details Mesoscopic Charge Density Wave in a Magnetic Flux Mesoscopic Charge Density Wave in a Magnetic Flux

1998-02-27

arxiv.org/abs/cond-mat/9802296v1

European Physical Journal, 1, 377 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Latex, 7 pages, 10 figures

Scientific paper

10.1007/s100510050197

The stability of a Charge Density Wave (CDW) in a one-dimensional ring pierced by a Aharonov-Bohm flux is studied in a mean-field picture. It is found that the stability depends on the parity of the number $N$ of electrons. When the size of the ring becomes as small as the coherence length $\xi$, the CDW gap increases for even $N$ and decreases for odd $N$. Then when $N$ is even, the CDW gap decreases with flux but it increases when $N$ is odd. The variation of the BCS ratio with size and flux is also calculated. We derive the harmonics expansion of the persistent current in a presence of a finite gap.

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