Abstract

We study a nearly square 2D Fermi surface with strong nesting properties and a Van Hove singularity at the Fermi level, as a model for high T c superconductors, such as Bi 2Sr 2CaCu 2O 8 (Bi2212). Such a model is consistent with a recent photoemission data. We assume an effective (phenomenological) attractive coupling between electrons as well as an exchange coupling. The {Ln( kT/ E f)} 2 behaviour of the superconducting response favours a d-wave superconducting instability. When a magnetic field is applied perpendicularly to the electron plane, an orbital effect restore a 1D behaviour for the magnetic response, with an effective exchange constant rapidly increasing with the field. Therefore, we expect, above a critical field, a coexistence of superconductivity and spin density wave (SDW). This new symmetry breaking should open a gap on the whole Fermi surface. We propose to ascribe to this affect the anomalies observed in the thermal conductivity of Bi2212 and the apparent disappearance of the quasi-particles in an applied field.

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