Phase structure of an Abelian two-Higgs model and high temperature superconductors

Abstract

We study the phase structure of a three dimensional Abelian Higgs model with singly- and doubly-charged scalar fields coupled to a compact Abelian gauge field. The model is pretending to describe systems of strongly correlated electrons such as high-Tc superconductivity in overdoped regime and exotic phases supporting excitations with fractionalized quantum numbers. We identify the Fermi liquid, the spin gap, the superconductor and the strange metallic phases in which densities and properties of holon and spinon vortices and monopoles are explored. The phase diagram in the 3D coupling space is predicted. We show that at sufficiently strong gauge coupling the spinon-pair and holon condensation transitions merge together and become, unexpectedly, first order.

arXiv comment5 pages, 9 figures, RevTeX 4

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Cited by in corpus (15)

• Phase transitions in a three dimensional $U(1)\times U(1)$ lattice London superconductor: Metallic superfluid and charge-4e superconducting states
• Multicomponent compact Abelian-Higgs lattice models
• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Two-dimensional multicomponent Abelian-Higgs lattice models
• Effect of Multiple Higgs Fields on the Phase Structure of the SU(2)-Higgs Model
• An Abelian two-Higgs model of strongly correlated electrons: phase structure, strengthening of phase transition and QCD at finite density
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• New Type of String Solutions with Long Range Forces
• Higgs mechanism and superconductivity in U(1) lattice gauge theory with dual gauge fields
• Ginzburg-Landau Theory for Unconventional Superconductors: Noncompact U(1) Lattice Gauge Model Coupled with Link Higgs Field
• Strong-coupling critical behavior in three-dimensional lattice Abelian gauge models with charged $N$-component scalar fields and $SO(N)$ symmetry
• Quantum critical phenomena of unconventional superconductors: U(1) gauge model of link Cooper pair