1998
DOI: 10.1007/s100510050197
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Mesoscopic charge density wave in a magnetic flux

Abstract: The stability of a Charge Density Wave (CDW) in a one-dimensional ring pierced by a AharonovBohm 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 ξ, 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 … Show more

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Cited by 15 publications
(12 citation statements)
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“…Another theory states that quasi-particle interference is generated by changing the CDW ground state [15,16,17]. Latyshev et al tried to observe the AB effect of CDWs in NbSe 3 crystals with tiny random holes pierced by heavy-ion irradiation [18].…”
Section: Introductionmentioning
confidence: 99%
“…Another theory states that quasi-particle interference is generated by changing the CDW ground state [15,16,17]. Latyshev et al tried to observe the AB effect of CDWs in NbSe 3 crystals with tiny random holes pierced by heavy-ion irradiation [18].…”
Section: Introductionmentioning
confidence: 99%
“…Nonetheless, the correlation length ξ was also found to control the finite-size scaling of the Peierls transition in mesoscopic rings. 13 In this article, the quantum and thermal fluctuations of the nanowire surface are calculated in a continuum model, 14 where the ionic background is treated as an incompressible, irrotational fluid. In contrast to the semi-classical theory of Ref.…”
Section: Introductionmentioning
confidence: 99%
“…The observation of oscillating magnetization in large cyclic 10 Fe clusters (Ferric Wheels) [138,139] is one example of interesting possibilities existing in such structures. Flux quantization and persistent currents in Peierls insulators and charge-density-wave conductors with charge transfer mechanism by solitons and instantons is more developed theoretically [45,46,50,53] but requiring further experimental efforts. Same concerns a study of Luttinger liquids in one dimension and their crystallization to onedimensional Wigner crystal [64,65].…”
Section: Conclusion and Future Perspectivesmentioning
confidence: 99%