Abstract
A theoretical analysis is given for the phase structure of the infinite-range quantum Heisenberg spin glass with uniaxial anisotropy (D) and coaxial external magnetic field (h) in the presence of ferromagnetic interaction. The thermofield dynamics is used as a substitute for then-replica trick, including a generalisation of the de Almeida-Thouless stability analysis. Within a mean-field theory a multiplicity of spin glass phases has been found for the spin valueS=1, including: longitudinal, transverse and mixed spin glass phases. Additionally, phases with long range order turn out to exist: collinear and randomly canted ferromagnetic states (ferromagnet and spin glass). Phase transition points and lines are found in the temperature-field plane for various values of the ferromagnetic coupling (J 0) together with irreversibility crossovers.
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Kopeć, T.K., Büttner, G. Quantum HeisenbergS=1 spin glass: Effect of anisotropy and ferromagnetic interaction. Z. Physik B - Condensed Matter 84, 285–293 (1991). https://doi.org/10.1007/BF01313550
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DOI: https://doi.org/10.1007/BF01313550