From ODLRO to the Meissner Effect and Flux Quantization

Details From ODLRO to the Meissner Effect and Flux Quantization From ODLRO to the Meissner Effect and Flux Quantization

1995-03-04

arxiv.org/abs/cond-mat/9503024v1

Physics

Condensed Matter

Latex file, 10 pages

Scientific paper

10.1016/0375-9601(95)00806-1

It has been shown that the electron system with ODLRO in the reduced density matrix $\rho _2$ can not support a uniform magnetic field, i.e., ODLRO\ in $% \rho _2$ implies the Meissner effect \cite{2}\cite{3}, furthermore, the magnetic field trapped in the system is quantized\cite{3}. This note extends above results in two cases. We show that (1) the system with ODLRO in $\rho _2$ can not support a non uniform, cylindrically symmetric magnetic field; (2) the system with ODLRO in $\rho _2$ can not support a magnetic field slowly varying in space, and the magnetic flux trapped in it is quantized.

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