CAREER: Theory of the Conducting--Insulating Transition Region

这笔职业补助金支持将研究和教育纳入这位年轻的理论物理学家和加州大学圣巴巴拉分校教职员工的职业规划。研究计划包括四个问题。第一部分用对偶Ginzburg-Landau理论描述了二维电子气中的金属-绝缘体相变。第二个涉及最近在轻掺杂六硼化物中发现的巡回铁磁性的性质。第三个项目涉及对转变前可能不均匀状态的研究，最后一个项目涉及一维物体(如碳纳米管)中线性和非线性输运的性质。在教育方面，PI计划监督学生，教授课程，并成为导师。此外，他正在计划举办一系列关于量子凝聚态物理的特别研讨会，有物理系(学生所在的地方)和理论物理研究所参加，理论物理研究所的博士后研究员人数相对较多。最后，他计划举办另一场关于本科生和研究生职业选择的研讨会。%这个职业奖支持这位年轻的、圣巴巴拉大学物理系的理论家成员的研究和教育计划。研究兴趣包括四个项目，都与绝缘体中电子的性质有关，绝缘体即将成为金属导体。第一个项目是最一般的项目，涉及寻找金属-绝缘体相变的理论上的、统一的描述。第二个项目涉及到当绝缘体六硼化钙非常少量地掺杂La以使其略微导电时，显著的铁磁性相的性质。第三个项目研究绝缘体和导体之间变化的可能路径，以及每个路径如何反映在线性和非线性输运特性中。最后，第四个项目是对纳米线的显著导电性能的广泛研究，例如碳纳米管。在教育方面，有教授课程、指导研究生和指导博士后研究员的计划。此外，还计划为本科生举办关于职业选择的研讨会；探索物理教育的替代应用。

This CAREER grant supports the integration of research and education in the career plan of this young theoretical physicist and faculty member at the University of California, Santa Barbara. The research plan includes four problems. The first deals with a description of a metal-insulator transition in a 2-dimensional electron gas in terms of a dual Ginzburg-Landau theory. The second concerns the properties of recently discovered itinerant ferromagnetism in lightly doped hexaborides. A third concerns a study of possibly inhomogeneous states preceding the transition, and finally a fourth project deals with the properties of linear and nonlinear transport in a one-dimensional object, such as a carbon nanotube. For education, the PI plans to supervise students, teach courses and be a mentor. In addition, he is planning a special seminar series on quantum condensed matter physics, involving the department of physics (where the students are) and the Institute for Theoretical Physics, with its relatively large membership of postdoctoral fellows. Finally he plans to conduct another seminar about career options for undergraduate and graduate students.%%%This CAREER award supports the research and education plans of this young, theorist member of the physics department at the University of California, Santa Barbara. The research interest consists of four projects, all related to the properties of electrons in insulators which are on the threshold of becoming metallic conductors. The first project is the most general one and involves a search for a theoretical, unified description of a metal-insulator phase transition. The second project concerns the properties of the remarkable ferromagnetic phase when calcium hexaboride, an insulator, is very lightly doped with lanthanum to make it slightly conducting. The third project studies possible pathways to the change between an insulator and a conductor and how each is reflected in the linear and nonlinear transport properties. Finally the fourth project is an extensive study of the remarkable conducting properties of nanowires, for example the carbon nanotubes. In education, there are plans to teach courses, supervise graduate students and mentor postdoctoral fellows. In addition there are plans to conduct seminars on career options for undergraduates; an exploration of alternative applications of physics education.***