Quanum Phases in Condensed Matter

该奖项支持凝聚态物理学的理论研究。 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，首席研究员和合作者已经找到了一种方法，在大g的限制下，在量子点中精确地处理这些孪生问题，其中g是点电导。 诀窍是使用随机矩阵理论中适用于费米能量附近状态的技术。 在拟议的研究中，将充分探索这一进步的机会，充分利用刚刚开辟的许多令人兴奋的可能性。 我们解决一个困难问题的能力往往取决于对一个小参数的识别，这个小参数可以克服困难。 提出的小参数，1/g，将是第一个帮助精确解决的障碍，相互作用problem.The主要研究者将继续他的工作，通过公开讲座，推广计划，评论文章和教科书的编写知识的传播。 这项拟议中的工作有望进一步加深我们对量子点的理解，量子点是纳米技术的核心，同时也澄清了多体物理学中非常基本的科学问题。 推广活动将使从小学到研究生院的各级物理学生的后代受益。 博士后助理也将接受培训。%该奖项支持凝聚态物理学的理论研究。 在这一领域的一个突出问题是同时处理电子之间的强相互作用时，他们在无序的环境。 在这种情况下，电子之间的相互作用是基本凝聚态物理学的核心。 结合数学发展来描述状态的原子核与量子点，“人造原子”在纳米技术的核心，首席研究员已经开发出一种方法来处理这样的电子在一个确切的方式。 这对于推进物理学中的这一核心问题具有巨大的潜力，同时也为处理类似问题提供了新的方法。 主要研究者积极撰写教科书、评论文章和发表公开演讲。

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.***