Theoretical Studies of Strongly-Interacting Systems

强相互作用系统的理论研究

• 批准号: 8901985
• 负责人: Frederick Haldane
• 金额: $ 6.31万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1991-08-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8901985&HistoricalAwards=false
• 关键词: Theoretical; Studies; Strongly; Interacting; Systems

This project continues and extends current studies of quantum strongly-interacting collective phenomena associated with (i) the (mainly fractional) quantum Hall effect (QHE) and (ii) strongly- quantum magnetism (mainly antiferromagnetism). Surprising theoretical connections between these apparently physically very different strong-interaction phenomena have emerged, and will be more fully explored by this project. Novel types of off-diagonal long-range order will be emphasized, as will the possible application to superconducting oxides. Goals of the project include: (i) a more fundamental classification of incompressible fractional QHE states, (ii) the study of fractional QHE states involving spin-reversal, and (iii) the development of the non- linear field theory of quantum antiferromagnetism, taking into account order-parameter topology and qualitative differences between integer and half-integer spin systmes. Possible novel "chiral" states (i.e., states with broken reflection and time- reversal symmetry) of 2D quantum spin systems will also be investigated.

该项目继续并扩展了当前对与（i）（主要是分数）量子霍尔效应（QHE）和（ii）强量子磁性（主要是反铁磁性）相关的量子强相互作用集体现象的研究。 这些表面上物理上截然不同的强相互作用现象之间令人惊讶的理论联系已经出现，并将通过该项目进行更充分的探索。 将强调非对角长程有序的新型类型，以及在超导氧化物中的可能应用。 该项目的目标包括：(i) 不可压缩分数 QHE 态的更基本分类，(ii) 研究涉及自旋反转的分数 QHE 态，以及 (iii) 发展量子反铁磁性的非线性场论，同时考虑到有序参数拓扑以及整数和半整数自旋系统之间的定性差异。 二维量子自旋系统可能的新颖“手性”态（即反射破缺和时间反转对称性的态）也将被研究。