Microscopic phase coexistence: a conformal bootstrap analysis

微观相共存：共形自举分析

• 批准号: 1947958
• 金额: --
• 依托单位: University of St Andrews
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1947958
• 关键词: Microscopic; phase; coexistence; conformal; bootstrap

A new non-perturbative, numerical technique, the 'conformal bootstrap', has been developed for constraining and solving conformal field theories. The method has recently been used to predict the critical exponents of the 3D Ising model to a greater precision than any method ever used.In my project, the conformal bootstrap will be applied to systems in which there are two competing phases at low-temperature. We will attempt to investigate the case where both phases have O(2) symmetry, exploring whether there is a first-order transition from one phase to the other, or whether a range of parameters describe the coexistence of the phases.With this established, we'll then proceed to investigate the non-zero temperature of the systems using the same technique, where one may expect Kosterlitz-Thouless-like phase transitions.

发展了一种新的非微扰数值方法--共形自助法，用于约束和求解共形场理论。最近，该方法被用于预测三维伊辛模型的临界指数，其精度比以往任何方法都要高。在我的项目中，共形自助法将应用于低温下存在两个竞争相的系统。我们将尝试研究两相都具有O(2)对称性的情况，探索是否存在从一个相到另一个相的一级相变，或者是否有一系列参数描述了两个相的共存。在此基础上，我们将继续使用相同的技术来研究系统的非零温度，其中可能会出现类似Kosterlitz-Thouless的相变。