FOR 723: Functional Renormalisation Group for Correlated Fermion Systems

FOR 723：相关费米子系统的功能重整化群

• 批准号: 21278441
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2007
• 资助国家: 德国
• 起止时间: 2006-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/21278441?language=en
• 关键词: 723; Functional; Renormalisation; Group; Correlated

In recent years, the functional renormalisation group (RG) has led to significant progress in the understanding of correlated fermion systems. This theoretical method is based on a successive integration of degrees of freedom associated to energy scales, from high to low energies. Because the fundamental equations of the functional RG are exact, the quality of approximation schemes (which are necessary in all interesting applications) can be tested and improved systematically. Some of the important successes of the method are the unbiased analysis of instabilities of the Fermi liquid state in two dimensions, which also allows to obtain phase diagrams, as well as a precise analysis of the behaviour of quantum wires.

近年来，功能重整化组(RG)在相关费米子系统的理解方面取得了重大进展。这种理论方法是基于与能量尺度相关的自由度的逐次积分，从高能量到低能量。由于泛函RG的基本方程是精确的，因此可以系统地测试和改进逼近格式的质量(这在所有有趣的应用中都是必需的)。该方法的一些重要成功是对二维费米液态不稳定性的无偏分析，这也允许获得相图，以及对量子线行为的精确分析。