A remark on off-diagonal long range order

TL;DR

This paper demonstrates that off-diagonal long-range order in a lattice electron system implies the Meissner effect, extending previous continuous case results to lattice models.

Contribution

It provides a rigorous proof linking off-diagonal long-range order to the Meissner effect specifically for lattice electron systems, generalizing earlier continuous models.

Findings

Off-diagonal long-range order implies the Meissner effect in lattice systems

The result extends continuous case findings to lattice models

Provides a rigorous theoretical foundation for the connection between order and superconductivity

Abstract

In this work, we study some general property of a strongly correlated electron system defined on a lattice. Assuming that the lattice system exhibits off-diagonal long range order, we show rigorously that this assumption would lead to Meissner effect. This generalizes previous results of continuous case to a lattice electron system.