From ODLRO to the Meissner Effect and Flux Quantization

Abstract

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 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.

Latex file, 10 pages

References in corpus (1)

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

Cited by in corpus (3)

• Non-Abelian Aharonov-Bohm effect with the time-dependent gauge fields
• Integer and fractionalized vortex lattices and off-diagonal long-range order
• Odd-frequency superfluidity from a particle-number-conserving perspective