Low-energy effective representation of the strong-pairing Gutzwiller-projected BCS Hamiltonian

Evgeny Kochetov

International Center for Condensed Matter Physics, Brazil

Using the su(2|1) coherent-state path-integral formalism we show that the low-energy physics of the strong-pairing Gutzwiller projected BCS Hamiltonian is equivalent for sufficiently low doping to that of the AF Heisenberg model. This observation agrees with the experimentally observed fact that in the cuprate superconductors the AF magnetic long-range order survives at sufficiently low doping.

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