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

2026/03/31 by Ryuichi Shindou, Pengwei Zhao, Xiaonuo Fang
Physics and Astronomy · #cond-mat.supr-con #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el

paper · pdf

5 pages, 3 figures with supplemental materials

arxiv created 2026/08/06 · arxiv updated 2026/08/07

Abstract

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 dimension. 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.

Citations

• Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors
• Topological effect on order-disorder transitions in U(1) sigma models
• Classification of topological quantum matter with symmetries
• A short guide to topological terms in the effective theories of condensed matter
• Quantum criticality of quasi one-dimensional topological Anderson insulators
• Observation of Thermally Activated Vortex Pairs in a Quasi-2D Bose Gas
• Superfluid behaviour of a two-dimensional Bose gas
• Metal-insulator transition in 2D random fermion systems of chiral symmetry classes
• Topological insulators and superconductors
• Periodic table for topological insulators and superconductors
• Quantized vortices and superflow in arbitrary dimensions: Structure, energetics and dynamics
• Classification of topological insulators and superconductors in three spatial dimensions
• Anderson Transitions
• Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas
• Deconfined Quantum Critical Points
• Vortex Fluctuations in the Critical Casimir Effect of Superfluid and Superconducting Films
• Quantum suppression of superconductivity in ultrathin nanowires
• Topological phase-fluctuations, amplitude fluctuations, and criticality in extreme type-II superconductors
• Bosonization and Strongly Correlated Systems
• Vortex Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High-T_c Superconductors
• Phase-coherence and the boson-analogy of vortex liquids
• Nature of the Low Field Transition in the Mixed State of High Temperature Superconductors
• Critical Behavior of the Meissner Transition in the Lattice London Superconductor
• Phase transitions in abelian lattice gauge theories
• Onsager Loop-Transition and First Order Flux-Line Lattice Melting in High-T_c Superconductors
• Vortex-Loop Unbinding and Flux-Line Lattice Melting in Superconductors
• Critical Fluctuations in Superconductors and the Magnetic Field Penetration Depth
• Dual description of the superconducting phase transition
• Critical theory of quantum spin chains
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• Kosterlitz-Thouless Transition in Proximity-Coupled Superconducting Arrays
• Duality in field theory and statistical systems
• Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
• Mandelstam-'t Hooft duality in abelian lattice models
• Spontaneous breakdown of continuous symmetries near two dimensions
• Ordering, metastability and phase transitions in two-dimensional systems
• Statistical hydrodynamics