Field Theoretical and Non-Perturbative Methods in Strongly Interacting and in Strongly Disordered Condensed Matter

本基金支持凝聚态物理的理论研究。猝灭无序和强相互作用的影响，无论是单独存在还是同时存在，都是目前固态物理学中许多最有趣的现象。这种系统的行为通常是非常丰富的，并且通常不能被基于各种“自由粒子”非相互作用模型的标准近似所捕获，例如费米-液体理论及其扰动。另一方面，非摄动技术有了巨大的发展，已成功地用于解决在实验中观察到的强相互作用系统。在本研究中，来自共形场理论和贝特安萨茨可积性的非微扰技术，以及部分超对称技术，将用于研究具有强相互作用和强无序的电子系统。主题包括量子杂质问题，如量子点，和非相互作用粒子的局域化跃迁。此外，由于无序和相互作用的同时存在对电子系统的输运和热力学性质的影响将使用新的方法进行研究。本基金支持凝聚态物理的理论研究。猝灭无序和强相互作用的影响，无论是单独存在还是同时存在，都是目前固态物理学中许多最有趣的现象。这类系统的行为通常是非常丰富的，并且通常不能被标准近似所捕获。本研究将探讨一些新的方法来处理这些类型的物理系统。这项工作具有根本的利害关系，如果成功，将产生广泛的影响

0075064LudwigThis grant supports theoretical research in condensed matter physics. Effects of quenched disorder and strong interactions, when present either separately or simultaneously, dominate many of the most interesting phenomena currently of interest in solid state physics. The behavior of such systems is typically very rich, and is often not captured by standard approximations based on various "free particle" non-interacting models, such as Fermi-liquid theory and its perturbations. On the other hand, there has been a tremendous development in non-perturbative techniques, which have been successfully used to solve strongly interacting systems observed in experiments. In this grant non-perturbative techniques from conformal field theory and Bethe ansatz integrability, and in part supersymmetry, will be used to investigate electronic systems with strong interactions and strong disorder. Topics include quantum impurity problems such as quantum dots, and localization transitions of non-interacting particles. In addition, effects resulting from the simultaneous presence of disorder and interactions on transport and thermodynamic properties of electronic systems will be studied using novel methods.%%%This grant supports theoretical research in condensed matter physics. Effects of quenched disorder and strong interactions, when present either separately or simultaneously, dominate many of the most interesting phenomena currently of interest in solid state physics. The behavior of such systems is typically very rich, and is often not captured by standard approximations. This research will investigate a number of new methods to deal with these types of physical systems. The work is of fundamental interest and, if successful, will have broad ramifications.***