Heavy quasiparticles and Cooper-pair interaction in the Hubbard model

Abstract

The Hubbard model is studied in the vicinity of the Mott transition. Local and quantal spin fluctuations are completely included through the mapping to the Anderson model; a local Kondo temperature TK is defined as their characteristic temperature or energy scale. Antiferromagnetic spin fluctuations are included perturbatively in terms of 1d and to leading order in kBTKU with d being the spatial dimensionality, kB the Boltzmann constant, and U the intrasite repulsion. The two different kinds of spin fluctuations are responsible for the formation of heavy quasiparticles. Two intersite exchange interactions are responsible for both the development of the antiferromagnetic spin fluctuations and dγ-wave Cooper pairing between the heavy quasiparticles: the superexchange interaction and an exchange interaction due to the virtual exchange of spin excitations within the heavy quasiparticle band. An experimental specific-heat coefficient of about 14 mJ/K2 CuO2 mol and a Wilson ratio of about 0.4 imply that the interplay between the local and the antiferromagnetic spin fluctuations plays a crucial role in both the normal and the superconducting states of YBa2Cu3O7−δ with critical temperatures of Tc≃90 K. A pairing interaction deduced from the normal-state properties is strong enough to give critical temperatures as high as Tc0≃200 K in the absence of any pair breaking; there is experimental evidence that the pair-breaking effect of the antiferromagnetic spin fluctuations reduces Tc0≃200 K down to Tc0≃90 K.

Source-reported materials — not catalogue approval

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