Non-perturbative Approaches to Condensed Matter Physics

[01:47 . 99] fendley该奖项支持强相关电子材料和系统的理论研究和教育。这项工作将广泛使用场论技术，重点是非摄动方法。研究将集中在费米液体模式不适用的电子材料和系统上，通常甚至不能提供相关电子状态的定性描述。将涉及的研究领域包括：二维的无序系统，包括量子霍尔效应中平台之间的转换；高温超导体晶格规范理论中的自旋电荷分离Haldane-gap自旋链的相关函数；手性场论中Lifshitz点的存在性；并将其隧穿到分数量子霍尔装置中。将使用可积场论的技术，包括共形场论、贝特分析和精确的散射矩阵描述。该奖项支持强相关电子材料和系统的基础理论研究和教育。PI将应用最先进的场论技术来解决强相关电子材料领域的核心问题，目的是了解电子态是如何产生的，这些电子态与在普通金属中观察到的费米液态不同。* * *

0104799FendleyThis award supports theoretical research and education on strongly correlated electron materials and systems. The work will make extensive use of field-theoretic techniques with an emphasis on non-perturbative methods. Research will focus on electronic materials and systems for which the Fermi liquid paradigm does not apply and often does not even provide a qualitative description of the correlated electronic states. Research areas that will be engaged include: disordered systems in two dimensions, including the transition between plateaus in the quantum Hall effect; spin-charge separation in lattice gauge theories on high temperature superconductors; correlation functions for Haldane-gap spin chains; the existence of Lifshitz points in chiral field theories; and tunneling into a fractional quantum Hall device. The techniques of integrable field theory will be used, which include conformal field theory, the Bethe ansatz, and the exact scattering matrix description. %%%This award supports fundamental theoretical research and education on strongly correlated electron materials and systems. The PI will apply state-of-the-art field theoretic techniques to central problems in the field of strongly correlated electron materials with an aim to understand how electronic states arise that differ from the Fermi liquid states observed in ordinary metals. ***