Simple Electronic Models of Fullerenes

9311949 Murthy将进行理论研究计划，以了解掺杂富勒烯的低能电子特性。 用小系统的精确解扩充的重整化群方法将是主要的理论技术。 具体而言，将讨论以下主题：用Lanczos方法精确求解小富勒烯类似物;对富勒烯分子进行动量壳重整化群并获得费米面上的有效相互作用;使用重整化群识别富勒烯分子上的重要关联并构造变分波函数，从而理解配对的物理机制;在重整化群中包括相关的富勒烯内声子;使用全晶体的重整化群来产生适当的超导平均场理论。 这项理论研究将试图了解新富勒烯分子的性质。 特别是，工作的重点将是应用为研究相变而开发的新技术，以了解这些新材料的超导特性。 如果成功，开发的技术将有广泛的应用，除了有助于理解富勒烯的超导性。 ***

9311949 Murthy A theoretical research program will be conducted to understand the low-energy electronic properties of doped fullerenes. The renormalization group method augmented by exact solutions for small systems will be the primary theoretical technique used. Specifically, the following topics will be addressed: exactly solve small fullerene analogs by the Lanczos method; carry out a momentum shell renormalization group on the fullerene molecule and obtain effective interactions at the Fermi surface; use the renormalization group to identify important correlations on a fullerene molecule and construct a variational wave function leading to an understanding of the physical mechanism of pairing; include the relevant intrafullerene phonons in the renormalization group; use the renormalization group for the full crystal to generate the appropriate superconducting mean-field theory. %%% This theoretical study will attempt to understand the properties of the new fullerene molecule. In particular, the thrust of the work will be on applying new techniques developed for the study of phase transitions in order to understand the superconducting properties of these new materials. If successful, the techniques developed will have wide application in addition to contributing to the understanding of superconductivity in the fullerenes. ***