Coulomb Drag between One-Dimensional Electron Systems: Probing the Luttinger Liquid State

这项个人研究者奖支持对局限在一维导线中的电子行为的研究。该项目包括在弹道输运状态下相互作用量子线之间的库仑阻力的综合实验研究。这种相对未被探索的现象将被用作实验探测相互作用、强相关的一维电子系统的Luttinger液体（LL）行为的工具。库仑阻力和弹丸噪声将被测量为许多样品和环境参数的函数，如样品长度、线间分离、费米能量、温度、外加磁场等。双线样品将由高迁移率的AlGaAs/GaAs异质结构和量子阱制成，使用高分辨率电子束光刻技术。这项工作有望导致新的和重要的结果，证明LL态存在于凝聚态中，并建立费米液体理论的适用边界。该项目包括培养纳米科学和纳米技术方面的研究生。它包括本科生参与研究。它将研究人员、教育工作者和学生聚集在一起，实现了研究、学习和培训的一体化。此外，对K-16教育推广和教师计划的坚定承诺被纳入研究议程。这个个人研究者奖支持对局限在非常狭窄的、本质上是一维的电线中的电子行为的研究。该项目包括一个全面的实验研究，在理论分析的支持下，在一个很少发生电子散射的制度下，两个紧密间隔和相互作用的一维导线之间的相互作用力。这些相对未被探索的相互作用可以用作探测受限相互作用电子系统行为的工具。电阻和电子噪声将被测量为一些样品和环境参数的函数，如样品长度、线间分离、能量、温度、外加磁场等。一维电子系统的行为是凝聚态物理中的一个重要问题。随着技术利益的维度变得越来越小，理解这样的系统变得越来越重要。这项研究有望导致对这种小系统的更好理解。该项目包括培训纳米科学和纳米技术的研究生研究人员以及本科生参与研究。它将研究人员、教育工作者和学生聚集在一起，实现了研究、学习和培训的一体化。此外，对K-16教育推广和教师计划的坚定承诺被纳入研究议程。

This individual investigator award supports an investigation of the behavior of electrons confined in one-dimensional wires. The project consists of a comprehensive experimental investigation of Coulomb drag between interacting quantum wires in the ballistic transport regime. This relatively unexplored phenomenon will be used as a tool to experimentally probe the Luttinger liquid (LL) behavior of interacting, strongly correlated, one-dimensional electron systems. The Coulomb drag resistance and the shot noise will be measured as a function of a number of sample and environmental parameters, such as sample length, inter-wire separation, Fermi energy, temperature, applied magnetic field, etc. The dual-wire samples will be fabricated from high-mobility AlGaAs/GaAs heterostructures and quantum wells using high-resolution, electron beam lithography. The work is expected to lead to new and important results, proving that the LL state exists in condensed matter and establishing the applicability boundaries of the Fermi liquid theory. The project involves training graduate students in nanoscience and nanotechnology. It includes the participation of undergraduate students in the research. It brings together researchers, educators, and students, leading to an integration of research, learning, and training. In addition, a strong commitment to educational outreach K-16 and teacher programs is integrated into the research agenda. This individual investigator award supports an investigation of the behavior of electrons confined to very narrow, essentially one-dimensional wires. The project consists of a comprehensive experimental investigation, supported by theoretical analysis, of the interaction forces between two closely spaced and interacting one-dimensional wires in a regime where very little scattering of the electrons occurs. These relatively unexplored interactions can be used as a tool to probe the behavior of confined interacting electron systems. The resistance and electronic noise will be measured as a function of a number of sample and environmental parameters, such as sample length, inter-wire separation, energy, temperature, applied magnetic field, etc. The behavior of electron systems in one dimension is an important issue in condensed matter physics. As the dimensions of technological interest become smaller, it becomes more important to understand such systems. This research is expected to lead to a better understanding of such small systems. This project involves the training of graduate student researchers in nanoscience and nanotechnology as well as the participation of undergraduate students in the research. It brings together researchers, educators, and students, leading to an integration of research, learning, and training. In addition, a strong commitment to educational outreach K-16 and teacher programs is integrated into the research agenda.