可积系统与低维凝聚态模型

基本信息
批准号:19975040
项目类别:面上项目
资助金额:9.50
负责人:李有泉
学科分类:
依托单位:浙江大学
批准年份:1999
结题年份:2002
起止时间:2000-01-01 - 2002-12-31
项目状态: 已结题
项目参与者:蔡寿福,顾世建,夏勇
关键词:
量子可积系统强关联电子低维凝聚态摸型
结项摘要

Much progress has been achieved by using nonperturbation approach to strongly correlated electron systems according to the original proposal for the National Natural Science Foundation project. Additionally, our research also swiftly involved the new highlight of correlated Boson system which has been absorbed more and more attention. The Hubbard model for electrons with orbital degeneracy is shown to have an underlying SUd(4) symmetry of spin-orbital double. A hidden charge SUc(4) symmetry is exposed and an extended Lieb-Mattis transformation which maps these two symmetries into each other is given. On the basis of elementary degenerate perturbative theory, it is shown that the system with strong repulsive coupling is equivalent to a SO(6) Heisenberg magnet at half-filling and a SU(4) one at quarter-filling.The features of ground state and low-lying excitations in one dimension are indicated according to exact solutions. Various possibilities of symmetry breaking are also given. The Lieb-Schultz-Mattis theorem is extended to generalized Heisenberg models related to non-exceptional Lie algebras.It is shown that there are no energy gaps above the ground sates for SO(4), Sp(2) and SU(4) Heisenberg models, gaps are suspected to occur in SO(5) and SO(6) models. The nondegenerate ground state for these models is rigorously proven. We study a one-dimensional Bose system with repulsive delta-function interaction in the presence of an SU(2) intrinsic degree of freedom on the basis of the coordinate Bethe-ansatz. The ground state and the low-lying excitations are determined by both numerical and analytical methods. It is shown that the ground state is an isospin-ferromagnetic state, and the excitations are composed of three elementary particles: holons, antiholons, and isospinons. Besides, quantum transport through a resonant cavity with multileads was studied and the oscillation properties of mesoscopic RLC circuits was discussed.

用量子可积系统及低维场论的有关方法研究凝聚态物理中的自旋系统和强关联电子系场V饕泄斓兰虿⒋判圆牧厦?鲁汀格.液体与Kondo杂质系.统,.电子间相互作用摸型等;低维摸型中非平.庸物理边界条件的效应。侧重用非微扰方法研究基态、低激发态.、关联函数及热力学性质等.。研究结果有助于揭示高温超导机理.和理解反铁磁。

项目摘要

项目成果
{{index+1}}

{{i.achievement_title}}

{{i.achievement_title}}

DOI:{{i.doi}}
发表时间:{{i.publish_year}}

暂无此项成果

数据更新时间:2023-05-31

其他相关文献

1

EBPR工艺运行效果的主要影响因素及研究现状

EBPR工艺运行效果的主要影响因素及研究现状

DOI:10.16796/j.cnki.1000-3770.2022.03.003
发表时间:2022
2

一种基于多层设计空间缩减策略的近似高维优化方法

一种基于多层设计空间缩减策略的近似高维优化方法

DOI:10.1051/jnwpu/20213920292
发表时间:2021
3

复杂系统科学研究进展

复杂系统科学研究进展

DOI:10.12202/j.0476-0301.2022178
发表时间:2022
4

基于MCPF算法的列车组合定位应用研究

基于MCPF算法的列车组合定位应用研究

DOI:
发表时间:2016
5

二维FM系统的同时故障检测与控制

二维FM系统的同时故障检测与控制

DOI:10.16383/j.aas.c180673
发表时间:2021

李有泉的其他基金

批准号:19675030
批准年份:1996
资助金额:5.70
项目类别:面上项目
批准号:10674117
批准年份:2006
资助金额:33.00
项目类别:面上项目
批准号:19275035
批准年份:1992
资助金额:2.00
项目类别:面上项目
批准号:11274272
批准年份:2012
资助金额:78.00
项目类别:面上项目
批准号:10874149
批准年份:2008
资助金额:40.00
项目类别:面上项目
批准号:11074216
批准年份:2010
资助金额:38.00
项目类别:面上项目

相似国自然基金

1

低维凝聚态模型和量子可积系统

批准号:19377103
批准年份:1993
负责人:赵保恒
学科分类:A2601
资助金额:30.00
项目类别:专项基金项目
2

低维凝聚态模型和量子可积系统

批准号:19947002
批准年份:1999
负责人:赵保恒
学科分类:A2601
资助金额:40.00
项目类别:专项基金项目
3

低维凝聚态模型和量子可积系统

批准号:19477103
批准年份:1994
负责人:赵保恒
学科分类:A2601
资助金额:10.00
项目类别:专项基金项目
4

低维量子可积系统和凝聚态可解模型

批准号:19175045
批准年份:1991
负责人:赵保恒
学科分类:A2601
资助金额:2.50
项目类别:面上项目