Exploring Luttinger Liquid Physics in Carbon Nanotubes with Combined Electrical and Optical Probes

非技术摘要：这个项目的目标是了解一种被称为卢廷格液体的电子的新状态，在这种状态下，电子可以在一维碳纳米管中表现得像液体一样。这项研究不仅将回答关于独特电子态性质的基本问题，而且具有重要的技术意义。例如，碳纳米管中卢丁格电子液体的独特性质可以导致新的和强大的亚波长电路和信号的单向传播，这些信号可以用简单的电场进行调谐，这是目前技术无法实现的。此外，该项目为研究生和本科生提供了一个很好的机会，让他们接触到各种先进的实验技能和跨学科研究。首席研究员还将通过与加州大学伯克利分校的Cal-Teach项目建立合作关系，接触到更广泛的K-12教育外部社区。该项目还将通过让女性研究生和代表性不足的本科生参与研究活动，扩大代表性不足的研究人员的参与。技术摘要：一维Luttinger液体建立了一种与费米液体有质的不同的强相关电子系统的新范式。首席研究员将在他在碳纳米管的单管光谱和近场红外纳米显微镜方面的开创性工作的基础上，研究碳纳米管中的新型Luttinger液体现象。具体而言，主要研究者将探索三个令人兴奋的方向：(1)金属碳纳米管中Luttinger液体现象的无参数测试，其中结合电隧道和光学纳米显微镜可以独立确定电子相关幂律指数和Luttinger液体相互作用参数。(2)半导体纳米管中可调谐非线性Luttinger液体激发态动力学研究。它可以揭示在强相关的一维电子中不寻常的等离子体耗散超出朗道阻尼机制。(3)强偏置金属和半导体纳米管中的非平衡Luttinger液体现象。它将使人们能够在远离平衡态的情况下观察新颖的卢廷格液体行为。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

Nontechnical abstract:The goal of this project is to understand a new state of electrons known as a Luttinger Liquid where electrons can behave like a liquid, in one-dimensional carbon nanotubes. This research will not only answer basic questions on the nature of unique electron states, but also be of great technological importance. For example, the unique properties of a Luttinger Liquid of electrons in carbon nanotubes can lead to new and robust sub-wavelength circuits and single-directional propagation of signals that are tunable with a simple electric field that cannot be achieved with current technology. In addition, the project offers an excellent opportunity to expose graduate and undergraduate students to a variety of advanced experimental skills and interdisciplinary research. The principle investigator will also reach out to a broader outside community on K-12 education through established collaboration with Cal-Teach program at Berkeley. The project will also broaden participation of underrepresented researchers by engaging female graduate students and underrepresented undergraduate in the research activity.Technical Abstract:One-dimensional Luttinger liquid establishes a new paradigm of strongly correlated electron system qualitatively different from Fermi liquid. The principle investigator will study novel Luttinger liquid phenomena in carbon nanotubes building upon his pioneering work on single-tube spectroscopy and near-field infrared nanoscopy of carbon nanotubes. Specifically, the principle investigator will explore three exciting directions: (1) Parameter-free test of Luttinger liquid phenomena in metallic carbon nanotubes, where combined electrical tunneling and optical nanoscopy allows for independent determination of electron correlation power law index and Luttinger liquid interaction parameter. (2) Exploration of excited state dynamics of tunable nonlinear Luttinger liquid in semiconducting nanotubes. It can unravel unusual plasmon dissipation beyond the Landau damping mechanism in strongly correlated one dimensional electrons. (3) Non-equilibrium Luttinger liquid phenomena in strongly biased metallic and semiconducting nanotubes. It will enable the observation of novel Luttinger liquid behavior far from equilibrium.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.