Resonating Valence Bond Theory of Superconductivity for Dopant Carriers: Application to the Cobaltates

Abstract

Within the $t$--$J$ model Hamiltonian we present a RVB mean field theory directly in terms of dopant particles. We apply this theory to ${\mathrm{Na}}_x\mathrm{Co}{\mathrm{O}}_2\cdot y$ and show that the resulting phase diagram $T_c$ versus doping is in qualitative agreement with the experimental results.

References in corpus (22)

• Charge-ordering, commensurability and metallicity in the phase diagram of layered Na(x)CoO(2)
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Antiferromagnetic Order Induced by an Applied Magnetic Field in a High-Temperature Superconductor
• Superconductivity Phase Diagram of Na(x)CoO(2).1.3H(2)O
• An Electronic Model for $Co{O}_2$ layer based systems: Chiral RVB metal and Superconductivity
• Projected Wavefunctions and High Temperature Superconductivity
• Superconductivity in CoO${}_2$ Layers and the Resonating Valence Bond Mean Field Theory of the Triangular Lattice t-J model
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Doped t-J Model on a Triangular Lattice: Possible Application to Na${}_x$CoO${}_2\cdot y$H${}_2$0 and Na${}_{1-x}$TiO${}_2$
• Competing orders and quantum criticality in doped antiferromagnets
• Kinetic energy driven superconductivity in doped cuprates
• A gauge invariant dressed holon and spinon description of the normal-state of underdoped cuprates
• Instabilities of interacting electrons on the triangular lattice
• Revised superconducting phase diagram of hole doped Na${}_x$(H${}_3$O)${}_z$CoO${}_2\cdot y$H${}_2$O
• Study of the triangular lattice tV model near x=1/3
• New mean field theory of the tt't''J model applied to the high-Tc superconductors
• Upper Bounds on the Superfluid Stiffness of Disordered Systems
• Gauge invariant dressed holon and spinon in doped cuprates
• Supersymmetric Hubbard Operators
• Kinetic energy driven superconductivity in the electron doped cobaltate Na${}_x$CoO${}_2\cdot y$H${}_2$O
• Supersymmetric approach to the infinite U Hubbard Model
• BCS-type mean-field theory for t-J model in su(2|1) superalgebra representation

Cited by in corpus (5)

• Doped carrier formulation of the t-J model: the projection constraint and the effective Kondo-Heisenberg lattice representation
• Gauge Invariance and Spinon-Dopon Confinement in the t-J Model: implications for Fermi Surface Reconstruction in the Cuprates
• Ising t-J model close to half filling: A Monte Carlo study
• The breakdown of the mean-field description of the Nagaoka phase
• Stability of Nagaoka phase, spin effective action and delocalized free holes