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• W2007448093 abstract "The method of two-time temperature-dependent Green's functions is applied to a quadrupolar-coupled quasi-Heisenberg system with the motivation to discuss the occurrence of two phase transitions in some rare-earth compounds. The hierarchy of equations of motion is terminated by means of some suitable decoupling approximations previously introduced by the author in connection with an isotropic biquadratic coupling system. Solution of the equation of motion yields the excitation spectrum of the system. The variation of the excitation spectrum for different values of the anisotropy parameter and the quadrupolar-coupling parameter is discussed. The possibilities of occurrence of different kinds of ordering are critically studied. It is seen that a pure dipolar ordering in which the system undergoes a second-order phase transition from a pure dipolar state to the paramagnetic state at a temperature ${T}_{d}$ is not physically realizable. There may exist a pure quadrupolar ordering for which the system undergoes a second-order transition from a pure quadrupolar state to the paramagnetic state at a temperature ${T}_{Q}$. It was also found that there exists the possibility of occurrence of a mixed ordering which leads to two distinct phase transitions occurring at temperatures ${T}_{m}$ and ${T}_{Q}$ corresponding to magnetic and crystallographic transitions, respectively. The transition temperatures in these three cases are derived. It is seen that in the case of pure quadrupolar ordering the transition temperature is not much sensitive to quadrupolar coupling. Regarding the mixed ordering we find that the magnetic transition occurs at lower temperature. The theory is then applied to DyV${mathrm{O}}_{4}$ and the agreement with the observed data is found to be satisfactory." @default.
• W2007448093 created "2016-06-24" @default.
• W2007448093 creator A5085219418 @default.
• W2007448093 date "1978-10-01" @default.
• W2007448093 modified "2023-09-25" @default.
• W2007448093 title "Green's function theory of phase transitions in quadrupolar-coupled systems" @default.
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• W2007448093 doi "https://doi.org/10.1103/physrevb.18.3444" @default.
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