Low energy physical properties of high-Tc superconducting Cu oxides: A comparison between the resonating valence bond and experiments

Abstract

In a recent review by Anderson and coworkers\cite{Vanilla}, it was pointed out that an early resonating valence bond (RVB) theory is able to explain a number of unusual properties of high temperature superconducting (SC) Cu-oxides. Here we extend previous calculations \cite{anderson87,FC Zhang,Randeria} to study more systematically low energy physical properties of the plain vanilla d-wave RVB state, and to compare results with the available experiments. We use a renormalized mean field theory combined with variational Monte Carlo and power Lanczos methods to study the RVB state of an extended $t-J$ model in a square lattice with parameters suitable for the hole doped Cu-oxides. The physical observable quantities we study include the specific heat, the linear residual thermal conductivity, the in-plane magnetic penetration depth, the quasiparticle energy at the antinode $(\pi ,0)$, the superconducting energy gap, the quasiparticle spectra and the Drude weight. The traits of nodes (including $k_F$, the Fermi velocity $v_F$ and the velocity along Fermi surface $v_2$), as well as the SC order parameter are also studied. Comparisons of the theory and the experiments in cuprates show an overall qualitative agreement, especially on their doping dependences.

12 pages, 14 figures, 1 table

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Cited by in corpus (17)

• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Doping evolution of the electronic structure in the single-layer cuprates Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$: Comparison with other single-layer cuprates
• Nature of Stripes in the Generalized t-J Model Applied to The Cuprate Superconductors
• Intermediate Coupling Model of the Cuprates
• Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors
• The cluster glass state in the two-dimensional extended t-J model
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• Two-mode variational Monte Carlo study of Quasiparticle excitations in cuprates
• d_{3z^2-r^2} Orbital in high-Tc cuprates: Excitonic spectrum, metal-insulator phase diagram, optical conductivity and orbital character of doped holes
• Specific heat across the superconducting dome in the cuprates
• Exact solution of the 1D Hubbard model in the atomic limit with inter-site magnetic coupling
• Low-energy Spectra of the t-J-Type Models Studied by Variational Approach
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Grand-canonical variational approach for the t-J model
• SU(2) approach to the pseudogap phase of high-temperature superconductors: electronic spectral functions
• Low-lying quasiparticle excitations in strongly-correlated superconductors: An ansatz from BCS quasiparticle excitations?
• Superconductor-polariton non-dissipative drag in optical microcavity