Algorithms for Lattice Fermions

格子费米子算法

• 批准号: 390966303
• 负责人: Professor Dr. Fakher Fakhry Assaad
• 金额: --
• 依托单位: Lehrstuhl für Theoretische Physik I - Festkörperphysik
• 依托单位国家: 德国
• 项目类别: Research data and software (Scientific Library Services and Information Systems)
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/390966303?language=en
• 关键词: Algorithms; Lattice; Fermions

Material science is a complex multi-scale problem such that complementary methods have to be used to describe physics at different energy scales. Low energy collective and emergent phenomena such as superconductivity, topological phases of matter or magnetism, are described by models of interacting fermions on a lattice. The aim of the ALF-package is to provide a unified framework to tackle a number of fermion models within the so called auxiliary field quantum Monte Carlo approach. It provides standards so as to specify very general models, standards to define the lattice structure, and standards to compute different types of observables. Being a stochastic approach, it also comes with an error analysis library. To the best of our knowledge, ALF is a unique package in the sense that it includes many model systems. We foresee that it will impact not only in the solid state community, but also in atomic, nuclear and particle physics. The ALF is at the prototype level and is already available at http://alf.physik.uni-wuerzburg.de/. The aim of this project is to:i) Define a common platform such that the aforementioned groups of researchers can collaboratively develop the ALF.ii) Formulate a high level documentation so as to assure sustainability of the ALF.iii) Make quantum Monte Carlo methods accessible enough so that everybody is able to verify the results derived from other methods.iv) Provide an easy access to the domain of correlated-electron systems so as to play with new ideas at a minimal programming cost.

材料科学是一个复杂的多尺度问题，因此必须使用互补的方法来描述不同能量尺度的物理。用晶格上相互作用费米子的模型描述了超导、物质的拓扑相或磁性等低能集体和涌现现象。ALF包的目的是提供一个统一的框架，在所谓的辅助场量子蒙特卡罗方法中处理一些费米子模型。它提供了标准，以便指定非常一般的模型，标准来定义晶格结构，以及标准来计算不同类型的可观测数据。作为一种随机方法，它还附带了一个误差分析库。就我们所知，ALF是一个独特的包，因为它包括许多模型系统。我们预计，它不仅将对固态社区产生影响，还将对原子、核物理和粒子物理产生影响。ALF处于原型级别，已在http://alf.physik.uni-wuerzburg.de/.上提供这个项目的目的是：i)定义一个公共平台，以便上述研究小组可以合作开发ALF.ii)制定高级文档，以确保ALF.的可持续性；iii)使量子蒙特卡罗方法足够容易访问，以便每个人都能够验证从其他方法得出的结果。iv)提供对关联电子系统领域的容易访问，以便以最小的编程成本尝试新想法。