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The effective action and the spectrum of collective modes in the antiferromagnetic phase of the three-band repulsive Hubbard model. (English. Russian original) Zbl 0978.82029
J. Math. Sci., New York 100, No. 2, 2147-2155 (2000); translation from Zap. Nauchn. Semin. POMI 245, 216-230 (1997).
Summary: The paper is concerned with the application of path integration (successive integration over “fast”’ and “slow” variables and the Hubbard-Stratonovich transformation) to the antiferromagnetic state in the three-band, two-dimensional repulsive Hubbard model. It is shown that, in the lowest approximation, the model under consideration is equivalent to the half-filled single-band Hubbard model. The effective action for the collective Bose-fields, the critical temperature of the phase transition, and the spectra of excitations are obtained.
MSC:
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B26 Phase transitions (general) in equilibrium statistical mechanics
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