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arXiv 1408.0089cond-mat.str-elhep-lat
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凝聚态物理的格点规范理论:以铁磁超导为例

Lattice Gauge Theory for Condensed Matter Physics: Ferromagnetic Superconductivity as its Example

Ikuo Ichinose, Tetsuo Matsui

摘要:

近年来对凝聚态物理中各种强关联系统的理论研究表明,在高能物理中发展起来的格点规范理论(LGT)是理解这些系统物理的一个非常有用的工具。LGT的知识甚至成为凝聚态物理学家的必备项目。在本文的第一部分,我们为希望首次了解其基础知识的读者提供LGT的简要回顾。为了说明这一点,我们选择了阿贝尔Higgs模型,这是一个典型的和非常有用的LGT,它是Ginzburg-Landau模型与U(1)规范场(矢量势)相互作用的格点版本。第二部分介绍了铁磁超导研究的最新进展,作为LGT在凝聚态物理中应用的一个例子。由于铁磁性(FM)和SC是相互竞争的订单,预计会发生大的波动,因此需要非微扰方法进行理论研究。在引入描述FMSC的LGT之后,我们通过蒙特卡罗模拟研究了它的相图和拓扑激发(库珀对的涡旋)。

英文摘要:

Recent theoretical studies of various strongly-correlated systems in condensed matter physics reveal that the lattice gauge theory(LGT) developed in high-energy physics is quite a useful tool to understand physics of these systems. Knowledges of LGT are to become a necessary item even for condensed matter physicists. In the first part of this paper, we present a concise review of LGT for the reader who wants to understand its basics for the first time. For illustration, we choose the abelian Higgs model, a typical and quite useful LGT, which is the lattice verison of the Ginzburg-Landau model interacting with a U(1) gauge field (vector potential). In the second part, we present an account of the recent progress in the study of ferromagnetic superconductivity (SC) as an example of application of LGT to topics in condensed matter physics, . As the ferromagnetism (FM) and SC are competing orders with each other, large fluctuations are expected to take place and therefore nonperturbative methods are required for theoretical investigation. After we introduce a LGT describing the FMSC, we study its phase diagram and topological excitations (vortices of Cooper pairs) by Monte-Carlo simulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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