Exact theory for low-dimensional quantum many-body systems

低维量子多体系统的精确理论

基本信息

批准号：
08044051
负责人：
KURAMOTO Yoshio
金额：
$ 1.15万
依托单位：
Tohoku University
依托单位国家：
日本
项目类别：
Grant-in-Aid for international Scientific Research
财政年份：
1996
资助国家：
日本
起止时间：
1996 至无数据
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08044051/
关键词：
1 gamma^2 interaction conformal field theory fractional quantum Hall systems fractional statistics dynamical susceptibility spnon t-J model t-Jモデル γ^2相互作用

项目摘要

Within the present project, ew organized various activities in Japan, US and India. Inchronological order, Kuramoto stayd in Utah in September and have a seminar on the Quantum Hall effect. In additon he discussed with Sutherland in detail on the one-dimensional quantum systems. A new direction is pursued in searching for the signature of novel magnetic order in the anisotropic spin chain by the Monte Carlo method.In December, Kuramoto, Kawakami and Kato stsyed in Bangalore. Shastry organized a timely symposium on quantum many-body systems where the speakers include four of us. After the symposium we discussed among other things the dynamical property of the spin chain, the Toda lattice which interpolates solitons and phonons, and electronic state in quantum dots.In February, Sutherlamd and Shastry came to Japan and stayd in Osaka-Kyoto and Sendai. In Kansai district, Shastry and Sutherland gave lectures and discussed with Kawakami about many topics including application of the conformal field theory to the long-range interction models. In Sendai Kuramoto organized a symposium where Sutherland, Shastry and Kuramoto participated as speakers. Shastry and Sutheland discussed not only with Kuramoto and his colleagues but with some students of Kuramoto about various topics studied in the group.In the near future, we are planning to publish a few joint papers. These include the complex long-range order expected in the spin chain with the 1/gamma^2 interaction and with the Ising anisotropy.

在本项目中，EW在日本，美国和印度组织了各种活动。 Inchonological Order，9月在犹他州库拉莫托（Kuramoto）呆在犹他州，并在量子厅效应上举行了研讨会。他在Additon上与Sutherland讨论了一维量子系统。通过蒙特卡洛方法在各向异性旋转链中寻找新的磁性签名时，追求了一个新的方向。 Shastry在量子多体系统上组织了及时的研讨会，其中扬声器包括我们四个人。在研讨会结束后，我们在其他方面讨论了自旋链的动态特性，介绍了孤子和声子的Toda晶格，以及量子点中的电子状态。在Kansai地区，Shastry和Sutherland进行了讲座，并与Kawakami讨论了许多主题，包括将共形野外理论应用于远程互助模型。在仙台，库拉莫托组织了一次研讨会，萨瑟兰，沙斯特里和库拉莫托以演讲者的身份参加了会议。 Shastry和Sutheland不仅与Kuramoto及其同事讨论了有关该小组研究的各种主题的一些学生。在不久的将来，我们计划发表一些联合论文。这些包括与1/γ^2相互作用以及与伊索各向异性的自旋链中预期的复杂远程顺序。