二维偶极子的经典晶体形成
Classical crystal formation of dipoles in two dimensions
摘要：
我们考虑一个二维层的偶极粒子在政权的强偶极矩。在这里，我们可以使用经典方法描述系统，并确定使总能量最小的晶体结构。偶极子被假定为由外部场对齐，我们考虑相对于二维平面的运动的偶极矩的不同取向。我们观察到，当取向角从垂直方向向平面方向变化时，晶体结构将从六边形形式变为具有等间距排列的偶极子的形式，即条纹结构。除了计算晶胞外，我们还考虑了声子谱和声速。当取向偏离垂直方向时，声子谱产生局部最小值，这是晶体结构变形的结果。
英文摘要：
We consider a two-dimensional layer of dipolar particles in the regime of strong dipole moments. Here we can describe the system using classical methods and determine the crystal structure that minimizes the total energy. The dipoles are assumed to be aligned by an external field and we consider different orientations of the dipolar moments with respect to the two-dimensional plane of motion. We observe that when the orientation angle changes away from perpendicular and towards the plane, the crystal structure will change from a hexagonal form to one that has the dipoles sitting in equidistant rows, i.e. a striped configuration. In addition to calculating the crystal unit cell, we also consider the phonon spectrum and the speed of sound. As the orientation changes away from perpendicular the phonon spectrum develops local minima that are a result of the deformation to the crystal structure.
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