论文标题
半填充立方荷斯坦模型的兰格文模拟
Langevin Simulations of the Half-Filled Cubic Holstein Model
论文作者
论文摘要
在过去的几年中,在正方形和Honeycomb lattices中半填充的二维荷斯坦模型的电荷密度波转换温度的可靠量子蒙特卡洛结果$ t_ {cdw} $首次可用。利用数值方法的进一步发展,我们在这里提出了三个维度的结果,这是通过使用量子声子自由度的兰格文演化而成为可能的。除了从电荷相关性的缩放中确定$ t_ {cdw} $外,我们还检查了一般波矢量的电荷顺序的性质,以了解不同的温度,耦合和声子频率,以及光谱函数和特定热量的行为。
Over the past several years, reliable Quantum Monte Carlo results for the charge density wave transition temperature $T_{cdw}$ of the half-filled two dimensional Holstein model in square and honeycomb lattices have become available for the first time. Exploiting the further development of numerical methodology, here we present results in three dimensions, which are made possible through the use of Langevin evolution of the quantum phonon degrees of freedom. In addition to determining $T_{cdw}$ from the scaling of the charge correlations, we also examine the nature of charge order at general wave vectors for different temperatures, couplings, and phonon frequencies, and the behavior of the spectral function and specific heat.