论文标题
二维库仑气体中的拓扑相变
Topological Phase Transition in a Quasi Two Dimensional Coulomb Gas
论文作者
论文摘要
对于各种电荷值，使用中尺度数值模拟将限制在具有较小但有限的厚度的盒子中的正电荷数量相等的系统被建模为温度的函数。库仑相互作用以其三维形式的u（r）〜1/r使用。在这个准2D系统中发现了拓扑相变。平移顺序参数，空间相关函数，比热和电流在临界温度以下和高于临界温度以下的质量不同。我们发现2D对数库仑相互作用对于这种过渡的外观并不是必需的。这项工作提出了我们预测的新实验测试，以及探测准2D拓扑相变的新理论方法。
A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb interaction is used in its three-dimensional form, U(r) ~ 1/r. A topological phase transition is found in this quasi 2d system. The translational order parameter, spatial correlation function, specific heat, and electric current show qualitatively different trends below and above a critical temperature. We find that a 2d logarithmic Coulomb interaction is not essential for the appearance of this transition. This work suggests new experimental tests of our predictions, as well as novel theoretical approaches to probe quasi 2d topological phase transitions.
