权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Theoretical Studies on Strongly Correlated Electron Systems

强相关电子系统的理论研究

基本信息

批准号：
05044037
负责人：
FUKUYAMA Hidetoshi
金额：
$ 3.84万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for international Scientific Research
财政年份：
1993
资助国家：
日本
起止时间：
1993 至 1994
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05044037/
关键词：
Mott transition High T_c cuprates Transition metal oxides Heavy electrons Organic conductors Mesoscopics t-J Model Hubbard model アンダーソン局在

项目摘要

The most interesting and important problem in condensed matter physics at present and years to come will more or less be associated with the understanding of the electronic state in strongly correlated systems. Those include 1.high T_c copper oxides 2.transition metal oxides 3.heavy electrons in lantanides and actinides 4.organic conductors 5.mesoscopic systems.The present research project aims at the theoretical studies on electronic states of these strongly correlated systems. Above all, in the course of the studies, we have established a clear concept of the "ansmalous metaallic state near the Mott insulator" which is directly associated with the problems encountered in 1 and 2. This concept will be a main paradigm of the basic and applied sciences of the next century, just as the band theory and the Fermi liquid theory are in the present semiconductor technology.Main activities on each subcategory are as follows ;1. High T_c Copper OxidesThe establishment of the phase diagram on the plane of doping and temperature, especially of the origin of spin gap phenomenon. Analysis of the one-particle spectrum and the identification of the symmetry of the superconductivity order parameter. Analysis based on the gauge fields and studies on the bi-layr effects.2. Transition Metal OxidesAnalysis of the giant magnets-resistance base on the d=* spin fermion systems.3. Mott TransitionPossibility of splitting of the one-particle spectrum weight. Proposal of the scaling relation, and possible two types of singular behaviors toward the transition. Analysis based on the numerical renormalization method on d=* Hubbard model.4. Heavy ElectronsSpin and charge excitation spectra of Kondo insulators based on d=* Anderson model.5. Organic ConductorsEssential interplay between Mott transition and Peierls transition in pi-d mixed conductors.6. Mesoscopics Collapse of the quantized conductance in dirty Tomonaga-Luttinger liquide.

目前和今后几年凝聚态物理学中最有趣和最重要的问题将或多或少地与对强相关系统中电子态的理解有关。这些包括1。高T_c铜氧化物过渡金属氧化物镧系元素和锕系元素中的重电子。介观系统。本课题旨在对这些强相关系统的电子态进行理论研究。最重要的是，在研究过程中，我们建立了一个明确的概念，即“莫特绝缘体附近的小金属态”，它与1和2中遇到的问题直接相关。这一概念将成为下个世纪基础科学和应用科学的主要范式，就像能带理论和费米液体理论在当今半导体技术中的地位一样。各子类别的主要活动如下：高T_c铜氧化物在掺杂和温度平面上的相图的建立，特别是自旋间隙现象的起源。单粒子谱分析及超导序参量对称性的辨识。基于规范场的分析和双层效应的研究。基于d=*自旋费米子系统的巨磁电阻过渡金属氧化物分析。莫特跃迁单粒子谱权分裂的可能性。提出了标度关系，并可能向两类奇异行为过渡。基于d=* Hubbard模型数值重整化方法的分析。4 .基于d=* Anderson模型的近藤绝缘子重电子自旋和电荷激发谱。有机导体。pi-d混合导体中Mott跃迁和Peierls跃迁的基本相互作用。肮脏Tomonaga-Luttinger液体中量子化电导的介观崩塌。