Abstract
A strong-coupling-limit theory of the normal-state hole dynamics in copper oxide superconductors is developed. The theory is based on the t- t′- J model and the diagrammatic technique for Hubbard operators. We have analyzed the evolution of the hole dynamics with doping and have found that the Fermi surface of the itinerant quasiparticles changes abruptly at low doping from small with volume proportional to the concentration of doped holes δ to large with a volume proportional to 1 + δ. The ground state with the small Fermi surface is unstable against long-range antiferromagnetic ordering. The state with a large Fermi surface is characterized by a close disposition of the Fermi level and of the saddle-point singularity within an extended range of doping, δ = 0.1–0.4. The results account well for the data of angle-resolved photoemission experiments. Some effects of an electronic topological phase transition occurring at δ = δ c (the doping which corresponds to the intersection of the Fermi level and the saddle-point singularity) on the physical properties are discussed.
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