Mean-Field Description of Phase String Effect in the $t-J$ Model

Abstract

A mean-field treatment of the phase string effect in the $t-J$ model is presented. Such a theory is able to unite the antiferromagnetic (AF) phase at half-filling and metallic phase at finite doping within a single theoretical framework. We find that the low-temperature occurrence of the AF long range ordering (AFLRO) at half-filling and superconducting condensation in metallic phase are all due to Bose condensations of spinons and holons, respectively, on the top of a spin background described by bosonic resonating-valence-bond (RVB) pairing. The fact that both spinon and holon here are bosonic objects, as the result of the phase string effect, represents a crucial difference from the conventional slave-boson and slave-fermion approaches. This theory also allows an underdoped metallic regime where the Bose condensation of spinons can still exist. Even though the AFLRO is gone here, such a regime corresponds to a microscopic charge inhomogeneity with short-ranged spin ordering. We discuss some characteristic experimental consequences for those different metallic regimes. A perspective on broader issues based on the phase string theory is also discussed.

18 pages, five figures

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• Spin-charge separation in the single hole doped Mott antiferromagnet
• Two-Hole Ground State: Dichotomy in Pairing Symmetry
• Superconducting valence bond fluid in lightly doped 8-leg $t$-$J$ cylinders
• Particle-hole symmetry in the antiferromagnetic state of the cuprates
• Low-Temperature Pseudogap Phenomenon: Precursor of High-$T_c$ Superconductivity
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• Bosonic resonating valence bond wave function for doped Mott insulators
• Pseudogap Phase: Exchange Energy Driven vs. Kinetic Energy Driven
• The two-leg t-J ladder: A mean-field description
• Crossover from Fermi Arc to Full Fermi Surface
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• Microscopic origin of local moments in a zinc-doped high-$T_c$ superconductor
• The Ising version of the t-J model
• Understanding high-Tc cuprates based on the phase string theory of doped antiferromagnet
• Not all doped Mott insulators have a pseudogap: key role of van Hove singularities
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