Mesoscopic charge density wave in a magnetic flux

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