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首页> 外文期刊>Physical review, E >Linear perturbation renormalization group for the two-dimensional Ising model with nearest- and next-nearest-neighbor interactions in a field
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Linear perturbation renormalization group for the two-dimensional Ising model with nearest- and next-nearest-neighbor interactions in a field

机译：域内最近和下邻邻交互的二维读取模型的线性扰动重整组

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摘要

The linear perturbation renormalization group (LPRG) is used to study the phase transition of the weakly coupled Ising chains with intrachain (J) and interchain nearest-neighbor (J(1)) and next-nearest-neighbor (J(2)) interactions forming the triangular and rectangular lattices in a field. The phase diagrams with the frustration point at J(2) = -J(1)/2 for a rectangular lattice and J(2) = -J(1) for a triangular lattice have been found. The LPRG calculations support the idea that the phase transition is always continuous except for the frustration point and is accompanied by a divergence of the specific heat. For the antiferromagnetic chains, the external field does not change substantially the shape of the phase diagram. The critical temperature is suppressed to zero according to the power law when approaching the frustration point with an exponent dependent on the value of the field.
机译：线性扰动重整化组（LPRG）用于研究弱耦合的ising链的相位转换与内部inthain（j）和中间邻邻（j（1））和下邻（j（2））交互 在场中形成三角形和矩形格子。 已经找到了具有用于三角形格子的矩形晶格和J（2）= -J（1）的J（2）= -J（1）/ 2处的令人沮丧点的相图。 LPRG计算支持该概念，除了挫折点外，相位过渡始终连续，并且伴随着特定热的分歧。 对于反铁磁链，外部领域不会大大改变相图的形状。 当使用取决于场的值的指数接近挫折点时，临界温度根据权力法抑制到零。

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