Exact theories of<i>m</i>-component quadrupolar systems showing a first-order phase transition
この論文をさがす
説明
Several statistical-thermodynamic theories involving an exact solution in one dimension (d=1), high- and low-temperature series expansions, and an exact solution of an infinite-range system (mean-field theory) are presented for a quadrupolar spin model whose Hamiltonian is described with m-component classical spins ${\mathbf{S}}_{\mathit{i}}$ as scrH=-1/2 t${sum}_{\mathit{i},}$${\mathit{j}}_{=1}^{\mathit{N}}$ ${\mathrm{J}}_{\mathit{i}\mathit{j}}$(${\mathbf{S}}_{\mathit{i}}$\ensuremath{\cdot}${\mathbf{S}}_{\mathit{j}}$${)}^{2}$ on a d-dimensional lattice. An orientational phase transition is analyzed systematically as a function of m. The transition is first order generally for 2m\ensuremath{\le}\ensuremath{\infty} and dg2. We evaluate the transition point and the discontinuity in energy as a function of m. We also present exact solutions in the m\ensuremath{\rightarrow}\ensuremath{\infty} limit for arbitrary spatial dimensions.
収録刊行物
-
- Physical Review B
-
Physical Review B 42 (16), 10360-10380, 1990-12-01
American Physical Society (APS)
