Confinement and Bose Condensation in Gauge Theory of High-Tc Superconductors

Abstract

The issue of confinement and bose condensation is studied for gauge models of high-Tc superconductors. First the Abelian-Higgs model in (2+1)D, i.e., XY-model coupled to lattice gauge field $a_{\mu }$ with coupling $g$, is studied taking into account both the instantons and vortices. This model corresponds to integer filling of the bosons, and can be mapped to a dual superconductor. Our main resut is that the instantons introduce a term which couples linearly to the dual superconductor order parameter, and tend to pin its phase. As a result the vortex condensation always occurs due to the instantons, and the Meissner effect for the gauge field $a_{\mu }$ is absent, although $a_{\mu }$ is massive. This state is essentially the same as the confining phase of the pure gauge model. Away from integer filling, a ``magnetic field'' $\mu$ (the chemical potential of the bosons) is applied to this dual superconductor. Then the Higgs phase revives in the case of weak $g$ and large $x$, where vortices do not condense in spite of the instantons. In the opposite case, i.e., strong $g$ and small $x$, phase separation occurs, forming either microscopic patches or macroscopic stripe domains of the Mott insulating state.

27pages, 9figures

References in corpus (3)

• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• Theory of spin excitations in undoped and underdoped cuprates
• Theory of Quasi-Particles in the Underdoped High Tc Superconducting State

Cited by in corpus (43)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• QED3 theory of underdoped high temperature superconductors
• Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
• Orbital-selective Mott transitions: Heavy fermions and beyond
• Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields
• Bond operator theory of doped antiferromagnets: from Mott insulators with bond-centered charge order, to superconductors with nodal fermions
• From itinerant to local-moment antiferromagnetism in Kondo lattices: Adiabatic continuity vs. quantum phase transitions
• Effective gauge field theory of the t-J model in the charge-spin separated state and its transport properties
• Multi-scale fluctuations near a Kondo Breakdown Quantum Critical Point
• Phase Structure of d=2+1 Compact Lattice Gauge Theories and the Transition from Mott Insulator to Fractionalized Insulator
• Vortices, tunneling and deconfinement in bilayer excitonic quantum Hall superfluid
• Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model
• Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model
• Criticality in the 2+1-dimensional compact Higgs model and fractionalized insulators
• String Breaking and Monopoles: a Case Study in the 3D Abelian Higgs Model
• The compact Q=2 Abelian Higgs model in the London limit: vortex-monopole chains and the photon propagator
• A Derivation of the Fradkin-Shenker Result From Duality: Links to Spin Systems in External Magnetic Fields and Percolation Crossovers
• Phase structure of an Abelian two-Higgs model and high temperature superconductors
• Creation and manipulation of anyons in a layered superconductor-2DEG system
• Quantum phases and phase transitions of Mott insulators
• Metal-Insulator Transition in Two- and Three-Dimensional Logarithmic Plasmas
• Deconfined quantum criticality of the O(3) nonlinear $\sigma$ model in two spacial dimensions: A renormalization group study
• Instanton correlators and phase transitions in two- and three-dimensional logarithmic plasmas
• Pseudogap and Competing States in Underdoped Cuprates
• New Collective Modes in the Superconducting Ground States in the Gauge Theory Description of the Cuprates
• Metallic phase in a two-dimensional disordered Fermi system with singular interactions
• Kondo screening and coherence in kagome local-moment metals: Energy scales of heavy fermions in the presence of flat bands
• Topological Order in the (2+1)D Compact Lattice Superconductor
• An Abelian two-Higgs model of strongly correlated electrons: phase structure, strengthening of phase transition and QCD at finite density
• Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator
• Existence of Fermion Zero Modes and Deconfinement of Spinons in Quantum Antiferromagnetism resulting from Algebraic Spin Liquid
• Antiferromagnetic metal to heavy-fermion metal quantum phase transition in the Kondo lattice model: A strong coupling approach
• On the Origin of Peak-dip-hump Structure in the In-plane Optical Conductivity of the High $T_C$ Cuprates; Role of Antiferromagnetic Spin Fluctuations of Short Range Order
• Spin-gapped incoherent metal with preformed pairing in the doped antiferromagnetic Mott insulator
• Role of spinon and spinon singlet pair excitations on phase transitions in $d-wave$ superconductors
• Deconfined quantum criticality in the two dimensional Kondo lattice model
• Hubbard bands, Mott transition and deconfinement in strongly correlated systems
• Topological order and the deconfinement transition in the (2+1) dimensional compact Abelian Higgs model
• A dual gravity study of the 2+1D compact U(1) gauge theory coupled with strongly interacting matter fields
• A phenomenological description on an incoherent Fermi liquid near optimal doping in high T_{c} cuprates
• Hubbard Bands and Exotic States in Doped and Undoped Mott Systems: The Kotliar-Ruckenstein Representation