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Dipolar and quadrupolar susceptibility for Heisenberg—Biquadratic and Blume—Emery—Griffiths interactions - I

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  • Westwański, B.

Abstract

The role of the Racah operators in the diagrammatic calculations is discussed. The standard operators cannot be totally eliminated from the calculations. Using the diagrammatic methods for the Racah and standard operators the equations for the temperature of the second order critical points for the Heisenberg—biquadratic interactions are derived (in the quadrupolar and paramagnetic limits) in the (1/z)1 approximation for S = 32. These equations contain the special case of the Blume—Emery—Griffiths interactions. The dipolar and quadrupolar susceptibilities for the Heisenberg-biquadratic interactions are calculated in the (1/z)1 approximation for an arbitrary spin in the paramagnetic limit.

Suggested Citation

  • Westwański, B., 1978. "Dipolar and quadrupolar susceptibility for Heisenberg—Biquadratic and Blume—Emery—Griffiths interactions - I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 501-526.
  • Handle: RePEc:eee:phsmap:v:92:y:1978:i:3:p:501-526
    DOI: 10.1016/0378-4371(78)90148-6
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