Strong-coupling Superconductivity in the Cuprate Oxide
arXiv:0905.2712 · doi:10.1143/JPSJ.78.084712
Abstract
Superconductivity in the cuprate oxide is studied by Kondo-lattice theory based on the t-J model with the el-ph interaction arising from the modulation of the superexchange interaction by phonons. The self-energy of electrons is decomposed into the single-site and multisite ones. It is proved by using the mapping of the single-site one in the t-J model to its corresponding one in the Anderson model that the single-site self-energy is that of a normal Fermi liquid, even if a superconducting (SC) order parameter appears or the multisite one is anomalous. The electron liquid characterized by the single-site self-energy is a normal Fermi liquid. The Fermi liquid is further stabilized by the RVB mechanism. The stabilized Fermi liquid is a relevant unperturbed state that can be used to study superconductivity and anomalous Fermi-liquid behaviors. The so-called spin-fluctuation-mediated exchange interaction, which includes the superexchange interaction as a part, is the attractive interaction that binds d-wave Cooper pairs. An analysis of the spin susceptibility implies that, because of the el-ph interaction, the imaginary part of the exchange interaction has a sharp peak or dip at \pmω^*, where ω^*\simeq ω_ph in the normal state and ε_G/2 \lessim ω^* \lessim ε_G /2+ ω_ph in the SC state, where ω_ph is the energy of relevant phonons and ε_G is the SC gap. If the imaginary part has a sharp peak or dip at \pmω^*, the dispersion relation of quasi-particles has kink structures near \pmω^* above and below the chemical potential, the density of states has dip-and-hump structures near \pm ω^* outside the coherence peaks in the SC state, and the anisotropy of the gap deviates from the simple d-wave anisotropy.
19 pages, 12 figures
References in corpus (20)
- Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
- How to detect fluctuating order in the high-temperature superconductors
- Scanning tunneling spectroscopy of high-temperature superconductors
- A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
- On the Doping and Temperature Dependence of the Mass Enhancement Observed in the Cuprate Bi2212
- Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
- Extended Dynamical Mean Field Theory and GW method
- Evidence for two energy scales in the superconducting state of optimally doped (Bi,Pb)2(Sr,La)2CuO6+d
- Cluster Dynamical Mean Field analysis of the Mott transition
- Mixed lattice and electronic states in high-temperature superconductors
- Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
- Energy gap evolution in the tunneling spectra of Bi2Sr2CaCu2O8+d
- Oxygen Phonon Branches in YBa2Cu3O7
- Periodic Coherence Peak Height Modulations in Superconducting BSCCO
- Quantum Monte Carlo Study of Strongly Correlated Electrons: Cellular Dynamical Mean-Field Theory
- Electronic Charge Order in the Pseudogap State of
- Theory of Kondo lattices and its application to high-temperature superconductivity and pseudo-gaps in cuprate oxides
- Origin and roles of a strong electron-phonon interaction in cuprate oxide superconductors
- Opening of a pseudogap in a quasi-two dimensional superconductor due to critical thermal fluctuations
- Electron-phonon interaction enhanced by antiferromagnetic and superconducting fluctuations in cuprate oxide superconductors