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Quadrupole Phase Transitions in Magnetic Solids

H. H. ChenDepartment of Physics, New York University, Bronx, New York 10453Peter M. LevyDepartment of Physics, New York University, Bronx, New York 10453
1971en
ABI

Abstract

We have studied the phase transitions of magnetic systems with large biquadratic interactions in the molecular-field approximation. Quadrupole and dipole phase transitions occur at different temperatures whenever the biquadratic interactions are greater than the bilinear terms for effective spin interactions with $\mathcal{S}>~\frac{3}{2}$. For isotropic or Ising-like interactions with $\mathcal{S}=1$ there is only a quadrupole phase transition when the biquadratic interactions are larger.

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