A Fermi liquid model for the overdoped and optimally doped cuprate superconductors: scattering rate, susceptibility, spin resonance peak and superconducting transition

We present a Fermi liquid model for the overdoped and optimally doped cuprate superconductors. For the normal state, we provide an analytic demonstration, backed by self-consistent Baym–Kadanoff (BK) numerical calculations, of the linear in temperature resistivity and linear in 1/energy optical cond...

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Bibliographic Details
Published in:Physica. C, Superconductivity Superconductivity, 2000-12, Vol.340 (2), p.119-132
Main Author: Kastrinakis, George
Format: Article
Language:English
Subjects:
Antiferromagnetism
d-wave gap
Linear resistivity
Optical conductivity
Spin resonance peak
Susceptibility
van-Hove singularity
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Summary:We present a Fermi liquid model for the overdoped and optimally doped cuprate superconductors. For the normal state, we provide an analytic demonstration, backed by self-consistent Baym–Kadanoff (BK) numerical calculations, of the linear in temperature resistivity and linear in 1/energy optical conductivity, provided the interacting Fermi liquid has strong peaks in its density of states (van-Hove singularities in two dimensions) near the chemical potential μ. Recent ARPES experiments by Valla et al. (Science 285 (1999) 2110, and preprint cond-mat/0003407) directly support the linearity of the one-particle scattering rate everywhere in the Brillouin zone hereto obtained. We show that the origin of this linearity is the linear in energy term of the imaginary part of the carrier susceptibility. Moreover, we verify that the interactions tend to pin the van-Hove singularities close to μ. We show that the low energy dependence of the susceptibility can have a purely fermionic origin. We introduce an ansatz for the susceptibility of the carriers, which we postulate to be enhanced in an additive manner due to the weak antiferromagnetic order of the CuO 2 planes. Inter alia, this ansatz may explain the appearance of the spin resonance peak (observed in neutron scattering) in the normal state of the cuprates. Further, we obtain particularly high transition temperatures T c from our BK–Eliashberg scheme by using this ansatz: we have a d x 2− y 2 gap with T c>120 K for nearest neighbour hopping t=250 meV.
ISSN:0921-4534
1873-2143
DOI:10.1016/S0921-4534(00)00383-X