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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.

在本项目范围内，妇女教育研究所在日本、美国和印度组织了各种活动。按照时间顺序，仓本于9月在犹他州逗留，并举行了一个关于量子霍尔效应的研讨会。此外，他还与萨瑟兰详细讨论了一维量子系统。用蒙特卡罗方法寻找各向异性自旋链中新的磁序特征是一个新的方向。12月，Kuramoto、Kawakami和Kato在班加罗尔举行了会议。沙斯特里及时组织了一场关于量子多体系统的研讨会，演讲者包括我们四个人。研讨会结束后，我们讨论了自旋链的动力学性质，插入孤子和声子的Toda晶格，以及量子点中的电子态。2月份，Sutherlamd和Shastry来到日本，并停留在大阪-京都和仙台。在关西地区，沙斯特里和萨瑟兰与川上讲授并讨论了许多话题，包括共形场论在远程相交模型中的应用。在仙台，仓本组织了一次研讨会，萨瑟兰、沙斯特里和仓本作为演讲者参加了研讨会。沙斯特里和苏斯兰不仅与仓本和他的同事，而且与仓本的一些学生讨论了在集团学习的各种主题。在不久的将来，我们计划发表几篇联合论文。这包括在具有1/伽马^2相互作用和伊辛各向异性的自旋链中预期的复杂的长程有序。