Quanum Phases in Condensed Matter

凝聚态物质中的量子相

• 批准号: 0354517
• 负责人: Ramamurti Shankar
• 金额: --
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-04-01 至 2010-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0354517&HistoricalAwards=false
• 关键词: Quanum; Phases; Condensed; Matter

This award supports theoretical research in condensed matter physics. An outstanding problem in this field is the simultaneous treatment of strong interactions between electrons and a disordered environment. Recently, the principal investigator and collaborators have found a way to handle these twin problems exactly in quantum dots in the limit of large g, where g is the dot conductance. The trick is to use techniques from random matrix theory that apply to states near the Fermi energy. In the proposed research this opportunity for advancement will be fully explored, fully exploiting numerous exciting possibilities that have just opened up. It is also proposed that these techniques be extended to bulk systems.Quite often our ability to solve a difficult problem is predicated on the identification of a small parameter that tames the difficulties. The proposed small parameter, 1/g, would be the first of its kind to help in the exact solution of the disorder-interaction problem.The principle investigator will continue his work on dissemination of knowledge via public lectures, outreach programs, review articles and textbook writing. The proposed work is expected to further our understanding of quantum dots, which are at the center of nanotechnology, as well as clarify very basic scientific issues in many-body physics. The outreach activities will benefit future generations of physics students at all levels, from elementary school to graduate school. Postdoctoral associates will also be trained.%%%This award supports theoretical research in condensed matter physics. An outstanding problem in this field is the simultaneous treatment of strong interactions between electrons when they are in a disordered environment. The interplay between electrons under these circumstances is at the heart of fundamental condensed matter physics. Combining mathematics developed to describe states in the atomic nucleus with quantum dots, "artificial atoms" at the core of nanotechnology, the principal investigator has developed a way to deal with such electrons in an exact way. This has great potential to advance this core problem in physics and, at the same time, provide new methods to deal with similar problems. The principal investigator is active in writing textbooks, review articles and giving public lectures.***

该奖项支持凝聚态物理的理论研究。这一领域的一个突出问题是同时处理电子和无序环境之间的强相互作用。最近，主要的研究人员和合作者找到了一种方法，在大g的极限下，精确地处理量子点中的孪生问题，其中g是点电导。诀窍是使用随机矩阵理论中的技术，这些技术适用于费米能量附近的状态。在拟议的研究中，这一进步的机会将得到充分的探索，充分利用刚刚开启的许多令人兴奋的可能性。还建议将这些技术扩展到大系统。通常，我们解决困难问题的能力是基于识别一个驯服困难的小参数。拟议的小参数1/g将是第一个帮助准确解决无序-相互作用问题的此类参数。首席调查员将通过公开讲座、外联计划、评论文章和编写教科书继续他的知识传播工作。这项拟议的工作有望加深我们对量子点的理解，量子点是纳米技术的核心，并澄清多体物理中非常基本的科学问题。外展活动将惠及从小学到研究生院的所有级别的未来几代物理学生。博士后助理也将接受培训。%该奖项支持凝聚态物理的理论研究。这一领域的一个突出问题是同时处理处于无序环境中的电子之间的强相互作用。在这种情况下，电子之间的相互作用是基础凝聚态物理的核心。首席研究人员将用来描述原子核中的状态的数学与量子点相结合，量子点是纳米技术的核心，他开发了一种以准确的方式处理此类电子的方法。这对推进物理学中的核心问题具有很大的潜力，同时也为处理类似问题提供了新的方法。首席调查员积极撰写课本、评论文章和公开演讲。*