Off-Diagonal Long-Range Order: Meissner Effect and Flux Quantization

Details Off-Diagonal Long-Range Order: Meissner Effect and Flux Quantization Off-Diagonal Long-Range Order: Meissner Effect and Flux Quantization

1994-11-05

arxiv.org/abs/cond-mat/9411025v1

Physics

Condensed Matter

11 pages, Latex file

Scientific paper

10.1103/PhysRevB.51.3760

There has been a proof by Sewell that the hypothesis of off-diagonal long-range order in the reduced density matrix $\rho _2$ implies the Meissner effect. We present in this note an elementary and straightforward proof that not only the Meissner effect but also the property of magnetic flux quantization follows from the hypothesis. It is explicitly shown that the two phenomena are closely related, and phase coherence is the origin for both.

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