论文标题
使用传输矩阵解析二维Annni模型
Resolving the two-dimensional ANNNI model using transfer matrices
论文作者
论文摘要
二维Annni模型的相图长期以来一直在理论上争论。非常长的结构相关和放松时间进一步导致数值模拟做出矛盾的预测。在这里，我们引入了数值转移矩阵处理，该处理绕过这些问题，从而克服了相图中的各种歧义。特别是，我们确认过渡温度，并阐明向浮动不重量相位的过渡的顺序。我们的方法促使考虑转移矩阵以解决相关统计物理模型中的长期存在问题。
The phase diagram of the two-dimensional ANNNI model has long been theoretically debated. Extremely long structural correlations and relaxation times further result in numerical simulations making contradictory predictions. Here, we introduce a numerical transfer matrix treatment that bypasses these problems, and thus overcome various ambiguities in the phase diagram. In particular, we confirm the transition temperatures and clarify the order of the transition to the floating incommensurate phase. Our approach motivates considering transfer matrices for resolving long-standing problems in related statistical physics models.
