How Many Long-Range Orders Are in the Abrikosov State

TL;DR

This paper argues that the Abrikosov state features only phase coherence as its long-range order, challenging the common assumption of a crystalline vortex lattice long-range order.

Contribution

It clarifies that the Abrikosov state has a single long-range order, contradicting the prevalent view of a vortex lattice crystalline order.

Findings

Only phase coherence is a true long-range order in the Abrikosov state.

Crystalline long-range order of vortex lattice does not exist in reality.

The prediction of vortex lattice order does not match experimental facts.

Abstract

It is argued that only a single spontaneous long-range order, namely the phase coherence exists in the Abrikosov state, and the prediction of the crystalline long-range order of vortex lattice does not correspond to the facts.