The Berry phase in frustrated spin glass

TL;DR

This paper explores how frustration in spin glasses is fundamentally linked to the Berry phase, which captures the chiral change in spinor helicity during parallel transport, emphasizing its significance in frustrated systems.

Contribution

It introduces the concept that frustration in spin glasses can be understood through the Berry phase associated with spinor helicity changes, providing a new perspective on spin glass behavior.

Findings

Berry phase is prominent only with frustration

Frustration causes chiral change in spinor helicity

Berry phase relates to spin glass frustration

Abstract

In this letter we have pointed out that frustration in spin glass is realized through the Berry phase due to the conflict between the spin ordering in the course of parallel transport of spinor. We have came to the point that the Berry phase depicting the chiral change of helicity of a quantized spinor is prominent only in the presence of frustration.