论文标题
半涡旋和簇 - 涡流:Berezinskii-Kosterlitz中的新概念 - 无与伦比的相过渡
Semi-vortices and cluster-vorticity: new concepts in the Berezinskii-Kosterlitz-Thouless phase transition
论文作者
论文摘要
重新审视了2D XY模型中的Berezinskii-Kosterlitz- thouless(BKT)基本相变。它的机制通常由涡旋 - 涡流(v- av)对的(联合国)结合来描述,但是,它确实没有提供明确的定量标准以实现关键性。已知的尖锐标准是相关长度的差异和螺旋模量的不连续性。在这里,我们提出并探索一个新标准:它基于半涡旋和群集涡度的概念,这些概念是在我们用来模拟2D XY模型的多群集算法的框架中配制的。
The Berezinskii-Kosterlitz-Thouless (BKT) essential phase transition in the 2d XY model is revisited. Its mechanism is usually described by the (un)binding of vortex--anti-vortex (V--AV) pairs, which does, however, not provide a clear-cut quantitative criterion for criticality. Known sharp criteria are the divergence of the correlation length and a discontinuity of the helicity modulus. Here we propose and probe a new criterion: it is based on the concepts of semi-vortices and cluster vorticity, which are formulated in the framework of the multi-cluster algorithm that we use to simulate the 2d XY model.