An Abelian two-Higgs model and high temperature superconductivity

TL;DR

This paper investigates a 3D Abelian Higgs model with singly- and doubly-charged scalars, revealing its phase diagram and relevance to high-temperature superconductivity and non-perturbative Yang-Mills properties.

Contribution

It introduces a novel 3D Abelian Higgs model with multiple scalar charges and maps its phase diagram, connecting it to high-Tc superconductors and non-perturbative gauge theories.

Findings

Identified phases: Fermi liquid, spin gap, superconductor, strange metal.

Mapped the phase diagram in parameter space.

Revealed the model's relevance to high-Tc superconductivity and Yang-Mills theory.

Abstract

We study a three dimensional Abelian Higgs model containing singly- and doubly-charged scalar fields coupled to a compact Abelian gauge field in the London limit. The model attracts interest because of its relevance to high-Tc superconductors with charge 1 holon and charge 2 spinon-pair fields. It contains two types of vortices carrying magnetic flux and one type of instanton-like monopoles. Using thermodynamic and topological observables we present the phase diagram in the parameter space of the gauge and holon and spinon-pair couplings. The Fermi liquid, the spin gap, the superconductor and the strange metallic phases have been identified in a wide region of parameters. The model may serve as a toy system modelling non-perturbative properties of the Yang-Mills theory.