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

这一个人研究人员奖支持对限制在一维导线中的电子行为的调查。该项目包括对弹道输运区域中相互作用的量子线之间的库仑阻力进行全面的实验研究。这一相对未被探索的现象将被用作一种工具，用于实验探索相互作用、强关联的一维电子系统的Luttinger液体(LL)行为。库仑阻力和散粒噪声将被测量为一系列样品和环境参数的函数，如样品长度、线间距、费米能量、温度、外加磁场等。双线样品将由高迁移率的AlGaAs/GaAs异质结和量子阱使用高分辨率电子束光刻制成。这项工作有望带来新的重要结果，证明凝聚态中存在LL态，并建立费米液体理论的适用边界。该项目涉及培训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教育外展和教师方案的坚定承诺也被纳入研究议程。这一个人研究人员奖支持对限制在非常窄的、基本上是一维导线中的电子行为的调查。该项目包括一项全面的实验研究，在理论分析的支持下，在电子几乎不发生散射的情况下，对两条紧密相距且相互作用的一维线之间的相互作用力进行研究。这些相对未知的相互作用可以作为一种工具来探测受限相互作用电子系统的行为。电阻和电子噪声将被测量为许多样品和环境参数的函数，如样品长度、线间距、能量、温度、外加磁场等。电子系统在一维中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更加重要。这项研究有望使人们更好地了解这样的小系统。该项目涉及纳米科学和纳米技术方面的研究生研究人员的培训，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教育外展和教师方案的坚定承诺也被纳入研究议程。

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.