Coherent `ab' and `c' transport theory of high-$T_c$ cuprates

Abstract

We propose a microscopic theory of the `$c$'-axis and in-plane transport of copper oxides based on the bipolaron theory and the Boltzmann kinetics. The fundamental relationship between the anisotropy and the spin susceptibility is derived, ${\rho }_c(T,x)/{\rho }_{ab}(T,x)\sim x/\sqrt{T}{\chi }_s(T,x)$. The temperature $(T)$ and doping $(x)$ dependence of the in-plane, ${\rho }_{ab}$ and out-of-plane, ${\rho }_c$ resistivity and the spin susceptibility, ${\chi }_s$ are found in a remarkable agreement with the experimental data in underdoped, optimally and overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$ for the entire temperature regime from $T_c$ up to $800K$. The normal state gap is explained and its doping and temperature dependence is clarified.

12 pages, Latex, 3 figures available upon request

Cited by in corpus (46)

• Quasiparticle relaxation dynamics in superconductors with different gap structures: theory and experiments on YBa_{2}Cu_{3}O_{7-δ}
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• The attainable superconducting Tc in a model of phase coherence by percolation
• Optical Absorption of an Interacting Many-Polaron Gas
• Finite-wavevector Jahn-Teller-pairing and superconductivity in the cuprat es
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Intrinsic Superconductivity at 25 K in Highly Oriented Pyrolytic Graphite
• Ni impurity induced enhancement of the pseudogap in cuprate high T_c superconductors
• Normal-State Hall Effect and the Insulating Resistivity of High-T_c Cuprates at Low Temperatures
• Distinct charge and spin gaps in underdoped YBa2Cu3O7-x
• Intrinsic tunneling or Joule heating?
• Isotope effect in the presence of a pseudogap
• Density-Induced Breaking of Pairs in the Attractive Hubbard Model
• Normal-state resistivity anisotropy in underdoped RBa_2Cu_3O_{6+x} crystals
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• High Temperature Superconductivity: the explanation
• Giant enhancement of anisotropy by electron-phonon interaction
• Gap and subgap tunnelling in cuprates
• Bose-Einstein condensation of strongly correlated electrons and phonons in cuprate superconductors
• The pseudogap in Bi2212 single crystals from tunneling measurements: a possible evidence for the Cooper pairs above Tc
• Angle-resolved photoemission in doped charge-transfer Mott insulators
• Hall effect and resistivity in underdoped cuprates
• C-axis negative magnetoresistance and upper critical field of Bi2Sr2CaCu2O8
• Pairing mechanism of high-temperature superconductivity: Experimental constraints
• Evidence for crossover from a Bose-Einstein condensate to a BCS-like superconductor with doping in YBa2Cu3O(7-x) from quasiparticle relaxation dynamics experiments
• Theory of High Temperature Superconductivity in Doped Polar Insulator
• Universal scaling behavior of the c-axis resistivity of high-temperature superconductors
• Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
• Absence of a BCS-BEC crossover in the cuprate superconductors
• Isotope effects in high-Tc cuprate superconductors: Ultimate proof for bipolaron theory of superconductivity
• Superconducting Gap, Normal State Pseudogap and Tunnelling Spectra of Bosonic and Cuprate Superconductors
• Dynamical control of electron-phonon interactions with high-frequency light
• Aspects of the Normal State Resistivity of Cuprate Superconductors
• Investigation of Precursor Superconducting State in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ through In-plane Optical Spectroscopy
• Coexistence of the Pseudogap and the Superconducting Gap Revealed by the \textit{c}-axis Optical Study of YBa${}_2$(Cu${}_{1-x}$Zn${}_x$)${}_3$O${}_{7-\delta }$
• Non-conservation of Density of States in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_y$: Coexistence of Pseudogap and Superconducting gap
• Hall-Lorenz number paradox in cuprate superconductors
• Nanoscale phase separation and pseudogap in the hole-doped cuprates from fluctuating Cu-O-Cu bonds
• Die Hard Holographic Phenomenology of Cuprates
• Bound pair states beyond the condensate for Fermi systems below T_c: the pseudogap as a necessary condition
• Theory of Extrinsic and Intrinsic Tunnelling in Cuprate Superconductors
• Nonmetallic Low-Temperature Normal State of K0.70Fe1.46Se1.85Te0.15
• Light bipolarons in a system of electrons coupled to dispersive optical phonons
• Normal state thermodynamics of cuprate superconductors
• 'Giant' normal state magnetoresistances of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Competition of light- and phonon-dressing in microwave-dressed Bose polarons