【作者】 张丹；

【导师】 王春艳；

【作者基本信息】 渤海大学 ， 理论物理， 2021， 硕士

【摘要】 全息原理在引力理论和量子理论之间建立了一个联系,是现代理论物理的一个重要思想。Ad S/CFT对偶(也称规范引力对偶)是全息原理的具体实现。利用全息原理,我们可以用弱耦合引力的方法去研究分析强耦合量子理论。全息凝聚态物理是全息原理在凝聚态系统中的应用。全息超导,全息费米系统以及全息金属绝缘相变(MIT)等是全息原理在凝聚态物理中极为成功的例子。本文主要的研究内容主要分为两部分:第一部分是解析研究高阶全息超导模型,包括其临界温度以及电导率的特性;第二部分研究全息双流模型的输运性质。具体结构如下:第一章,介绍全息原理的基本概念以及全息词典,并从标量场出发说明场与算符的对应关系。第二章,介绍最简单的全息超导模型,包括凝聚及其电导率的性质及特征。以此为基础,介绍全息高阶导数超导模型。利用解析方法,研究全息高阶导数超导模型的临界温度,凝聚和电导率。第三章,构建了具有耦合项的全息双流模型,导出了其电导率表达式,分析其电导率的性质及特征。第四章,主要研究全息双流模型下的非相干电导率,并分析两个规范场耦合与不耦合之间的关系。第五章,总结与展望。更多还原

【Abstract】 Holographic principle has established a connection between gravity theory and quantum theory,and is an important idea in modern theoretical physics.Ad S/CFT duality(also called gauge gravitational duality)is the concrete realization of holographic principle.Using the holographic principle,we can study and analyze the strongly coupled quantum theory by the method of weak coupling gravity.Holographic condensed matter physics is the application of holographic principle in condensed matter system.Holographic superconductivity,holographic Fermi system and holographic metal insulation phase transition(MIT)are very successful examples of holographic principle in condensed matter physics.The main research content of this paper is divided into two parts: the first part is analytical study of high-order holographic superconducting model,including its critical temperature and conductivity characteristics;In the second part,the transport properties of holographic two-stream model are studied.This paper is organized as follows:In chapter 1,the basic concepts of holographic principle and holographic dictionary are introduced,and the corresponding relationship between field and operator is explained from scalar field.In chapter 2,this paper introduces the simplest holographic superconducting model,solves the equations numerically,and gives the transport properties of the system.On this basis,we consider the holographic high-order superconducting model,discuss the critical temperature after introducing the high-order term,and further give the condensation and conductivity.In chapter 3,this paper introduces the previous researches on holographic two-stream model.Then,we build a holographic two-stream model with coupling terms,and study the conductivity expression under this model.In chapter 4,we mainly study the incoherent conductivity of the holographic two-currents model.We also discuss the equivalence between the theory with coupling and that without coupling.The brief summary and the future directions are briefly discussed in the chapter 5.更多还原