Gauge Invariance and Spinon-Dopon Confinement in the t-J Model: implications for Fermi Surface Reconstruction in the Cuprates

Abstract

We discuss the application of the two-band spin-dopon representation of the t-J model to address the issue of the Fermi surface reconstruction observed in the cuprates. We show that the electron no double occupancy (NDO) constraint plays a key role in this formulation. In particular, the auxiliary lattice spin and itinerant dopon degrees of freedom of the spin-dopon formulation of the t-J model are shown to be confined in the emergent U(1) gauge theory generated by the NDO constraint. This constraint is enforced by the requirement of an infinitely large spin-dopon coupling. As a result, the t-J model is equivalent to a Kondo-Heisenberg lattice model of itinerant dopons and localized lattice spins at infinite Kondo coupling at all dopings. We show that mean-field treatment of the large vs small Fermi surface crossing in the cuprates which leaves out the NDO constraint, leads to inconsistencies and it is automatically excluded form the t - J model framework.

References in corpus (4)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order

Cited by in corpus (6)

• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Emergent gauge fields and the high temperature superconductors
• Breakdown of the Nagaoka phase at finite doping
• Effective spin-fermion model for strongly correlated electrons
• Itinerant-localized model of strongly correlated electrons: Fermi-surface reconstruction
• Quantum Monte Carlo study of the itinerant-localized model of strongly correlated electrons: Spin-spin correlation functions