二维伊辛模型在带条纹随机杂质的蜂窝及相关晶格上的相变
Phase transition of two-dimensional Ising models on the honeycomb and related lattices with striped random impurities
摘要：
本文研究了二维蜂窝晶格和含条纹随机杂质的正方晶格上的伊辛模型，得到了它们的相图。假设双峰分布的随机杂质，其中所有的非零耦合具有相同的幅度，精确的临界值的分数p的铁磁键在零温度（T=0）得到。通过数值计算随机矩阵乘积的李雅普诺夫指数，在p-T平面上画出临界线。
英文摘要：
Two-dimensional Ising models on the honeycomb lattice and the square lattice with striped random impurities are studied to obtain their phase diagrams. Assuming bimodal distributions of the random impurities where all the non-zero couplings have the same magnitude, exact critical values for the fraction p of ferromagnetic bonds at the zero-temperature (T=0) are obtained. The critical lines in the p-T plane are drawn by numerically evaluating the Lyapunov exponent of random matrix products.
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