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- W4295117035 abstract "The phase diagram of the Heisenberg ferromagnetic model in the presence of a magnetic random field (we have used bimodal distribution) of spin S=1/2 (quantum case) and $S=infty $ (classical case) on a simple cubic lattice is studied within the framework of the effective-field theory in finite cluster (we have chosen N=2 spins). Integrating out the part of order parameter (equation of state), we obtained an effective Landau expansion for the free energy written in terms of the order parameter $Psi (m)$. Using Maxwell construction we have obtained the phase diagram in the $T-H$ plane for all interval of field. The first-order transition temperature is calculated by the discontinuity of the magnetization at $T_{c}^{ast}(H)$, on the other hand in the continuous transition the magnetization is null at $T=T_{c}(H)$. At null temperature (T=0) we have found the textbf{coexistence} field $H_{c}=3.23J$ that is independent of spin value. The transition temperature $T_{c}(H)$ for the classical case ($S=infty $), in the $T-H$ plane, is larger than the quantum case (S=1/2)." @default.
- W4295117035 created "2022-09-10" @default.
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- W4295117035 date "2011-10-20" @default.
- W4295117035 modified "2023-09-23" @default.
- W4295117035 title "Study of the first-order phase transition in the classical and quantum random field Heisenberg model on a simple cubic lattice" @default.
- W4295117035 doi "https://doi.org/10.48550/arxiv.1110.4666" @default.
- W4295117035 hasPublicationYear "2011" @default.
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