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From ODLRO to the Meissner Effect and Flux Quantization

Chi Au·Bao-Heng Zhao
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Abstract

It has been shown that the electron system with ODLRO in the reduced density matrix $ρ_2$ can not support a uniform magnetic field, i.e., ODLRO\ in $% ρ_2$ 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 $ρ_2$ can not support a non uniform, cylindrically symmetric magnetic field; (2) the system with ODLRO in $ρ_2$ can not support a magnetic field slowly varying in space, and the magnetic flux trapped in it is quantized.

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Chi Au, Bao-Heng Zhao. 1995-03-04. From ODLRO to the Meissner Effect and Flux Quantization. https://doi.org/10.1016/0375-9601(95)00806-1

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