Low Dimensional Magnetic and Electronic Systems

低维磁和电子系统

• 批准号: 9312476
• 负责人: Michael Fowler
• 金额: $ 18万
• 依托单位: University of Virginia Main Campus
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-08-01 至 1999-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9312476&HistoricalAwards=false
• 关键词: Low; Dimensional; Magnetic; Electronic; Systems

9312476 Fowler This research studies low-dimensional strongly interacting magnetic and electronic systems which are increasingly important in condensed matter physics for understanding high temperature superconductivity, mesoscopic systems and anisotropic materials. The approach uses exact solutions, usually solved by the Bethe Ansatz, of one-dimensional strongly interacting models which are physically plausible. However, the exact solutions for these so- called integrable systems are often difficult to interpret physically and apply to higher dimension systems. Systems which will be studied during the grant period include the XXZ spin chain, sine-Gordon thermodynamics, Calogero-type systems and the Toda lattice. %%% The theoretical research being done on this grant uses highly mathematical techniques to obtain exact solutions of model physical systems. In most cases, these exact solutions can only be obtained in dimensions lower than the three dimensions in which we live. Thus, the applicability of these solutions to the real world is not always clear. On the other hand, it is nearly impossible so far to obtain exact solutions of three-dimensional systems and many materials have characteristics of lower dimensional systems. Thus, judicious use of exact solutions in lower dimensions can help us understand properties of real physical systems. This is particularly the case with high temperature superconductors, certain mesoscopic electronic devices and anisotropic materials in general. ***

9312476 Fowler本研究研究低维强相互作用的磁性和电子系统，这些系统在凝聚态物理学中对于理解高温超导性，介观系统和各向异性材料越来越重要。 该方法使用精确的解决方案，通常解决的贝特Anglands，一维强相互作用的模型是物理上合理的。 然而，这些所谓的可积系统的精确解往往很难物理解释，也很难应用于高维系统。 在资助期间将研究的系统包括XXZ自旋链，正弦戈登热力学，Calogero型系统和户田晶格。 %在这个基金上进行的理论研究， 数学技术，以获得模型物理系统的精确解。 在大多数情况下，这些精确解只能在低于我们生活的三维的维度中获得。 因此，这些解决方案对真实的世界的适用性并不总是清楚的。 另一方面，三维系统的精确解几乎是不可能的，许多材料具有低维系统的特性。 因此，在较低维度中明智地使用精确解可以帮助我们理解真实的物理系统的性质。 对于高温超导体、某些介观电子器件和一般的各向异性材料，情况尤其如此。 ***