Temporal Berry Phase and the Emergence of Bose-Glass-Analog Phase in a Clean U(1) Superfluid

TL;DR

This paper introduces a topological explanation for a Bose-Glass-like phase in a clean superfluid system, driven by a temporal Berry phase in a U(1) nonlinear sigma model, revealing a new phase with unique space-time coherence properties.

Contribution

It demonstrates that a temporal Berry phase causes a quasi-disordered phase in a clean superfluid, linking topological effects to glassy phases without disorder.

Findings

Identifies a phase with short-range spatial order but long-range temporal coherence.

Shows the topological origin of glassy phases in phase-fluctuation-driven superfluids.

Connects Berry phase effects to the emergence of Bose-Glass-analog phases.

Abstract

A U(1) nonlinear sigma model (NLSM) with a one-dimensional temporal Berry phase term describes the critical theory of phase-fluctuation-driven superfluid (SF) transitions. We clarify that the temporal Berry phase leads to space-time anisotropic interference in vortex proliferation, resulting in a quasi-disordered phase characterized by short-range spatial order but persistent temporal phase coherence. This phase shares the essential SF phase correlation properties of the Bose Glass phase known from disordered boson systems, suggesting a unified topological origin for the emergence of the glassy phase in phase-fluctuation-driven superfluid transitions.