论文标题
Kosterlitz-无尽的相位过渡：勇敢的学生的介绍
The Kosterlitz-Thouless phase transition: an introduction for the intrepid student
论文作者
论文摘要
这是一组笔记，回忆起XY模型上一些最重要的结果。它们是针对想要在2D经典XY模型的背景下习惯于Kosterlitz的初级研究人员。详细介绍了与2D库仑气体的连接，以及从此双重表示获得的重新归一化组流量。提出了用于经典XY模型的数值蒙特卡洛方法。最后，提出了两个实物环境，这些物理环境意识到了著名的kosterlitz-无尽的相位过渡：超流体和液晶薄膜。
This is a set of notes recalling some of the most important results on the XY model from the ground up. They are meant for a junior researcher wanting to get accustomed to the Kosterlitz-Thouless phase transition in the context of the 2D classical XY model. The connection to the 2D Coulomb gas is presented in detail, as well as the renormalization group flow obtained from this dual representation. A numerical Monte-Carlo approach to the classical XY model is presented. Finally, two physical setting that realize the celebrated Kosterlitz-Thouless phase transition are presented: superfluid and liquid crystal thin films.
