Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds

Details Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds

1994-07-18

arxiv.org/abs/cond-mat/9407077v2

Physics

Condensed Matter

12 pages, 4 figures (on request), RevTeX (version 3.0), preprint NHMFL

Scientific paper

10.1103/PhysRevLett.74.310

A theory for the high temperature superconductors is proposed. Holes are spin-1/2, charge e, quasiparticles strongly dressed by spin fluctuations. Based on their dispersion, it is claimed that the experimentally observed van Hove singularities of the cuprates are likely originated by antiferromagnetic (AF) correlations. From the two carriers problem in the 2D t-J model, an effective Hamiltonian for holes is defined with %no free parameters. This effective model has superconductivity in the ${\rm d_{x^2-y^2}}$ channel, a critical temperature ${\rm T_c \sim 100K}$ at the optimal hole density, ${\rm x=0.15}$, and a quasiparticle lifetime linearly dependent with energy. Other experimental results are also $quantitatively$ reproduced by the theory.

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