Temporal Berry Phase and the Emergence of Bose-Glass-Analog Phase in a Clean U(1) Superfluid
The (2+1)-dimensional U(1) sigma model with temporal Berry phase term captures zero-temperature phase-fluctuation-driven superfluid (SF) transitions in two spatial dimensions. From renormalization group (RG) analysis of its dual representation -- vortex loop gas model --, we clarify that the Berry phase leads to space-time anisotropic interference in vortex-loop proliferation, resulting in a quasi-disordered phase with short-ranged spatial yet persistent temporal phase coherence. The phase shares physical 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.
cond-mat.supr-con↗