Low-Dimensional Electron Systems

这个个人研究者奖是颁给一个知名的科学家，他的项目专注于研究由液氦表面支持的电子，并且局限于一维或二维空间。它旨在理解低维系统的基本性质。本研究包括两个部分；1)系统地研究了被称为波纹子的量子化表面波诱导的电子局域化；2)被限制在充满氦的通道中的表面电子的输运和等离子体激发。在第一部分中，我们预测了随着将电子压向表面的电场的变化，导电将发生从金属到弱局部到强局部的变化。将测量弱局域区域的消相时间。电子-纹波子相互作用的理解是重要的，因为它与量子计算领域的潜在相关性。一维表面电子系统的研究还处于起步阶段，研究仅限于直流输运。研究将探索纵向（等离子体激元）和横向声模的正模频率，以及包括局部化在内的直流传输特性。参与这项研究的本科生和研究生将学习实验和解决问题的技能，这将对他们未来的职业生涯有用。这个个人研究者奖是颁给在一维和二维空间内对电子性质进行基础研究的知名科学家。在低温下，电子被限制在液氦表面的二维空间内。通过将氦放置在微米大小的狭窄凹槽中，它们可以进一步限制在一维空间内。这些系统之所以令人感兴趣，是因为它们是一维或二维系统中最简单、最清晰的例子。这些低维电子系统的各种性质在三维固体中有类似的性质，在那里它们更难以研究。与三维固体相比，可以通过更大的范围和更多的控制来改变低维系统的参数。该项目包括首次尝试探索一维电子系统的集体性质。本研究将通过量子化毛细波（涟漪）在氦表面的反向散射来检验电子的局域化。当波纹子的散射足够强时，通过电场迫使电子对抗氦表面，电子就会定位。也就是说，它应该被限制在一个微米大小的横向尺寸的小区域内。然后，氦表面会变形，产生一个涟漪极化子，一个被困在氦表面小凹痕中的电子。这个有趣的实体已被理论家广泛研究。理解波纹子对电子的散射是特别重要的，因为它将退相干引入正在研究的量子计算机的新设计中。参与这项研究的本科生和研究生将学习实验和解决问题的技能，这将对他们未来的职业生涯有用

This individual investigator award is to an established scientist for a project focused on the investigation of electrons supported by a liquid helium surface and confined to one or two dimensions. It is directed towards understanding the fundamental properties of low-dimensional systems. The research consists of two parts; 1) a systematic study of electron localization induced by quantized surface waves called ripplons and 2) the transport and plasma excitations in surface electrons confined in helium-filled channels. In the first part, it is predicted that a change in the conduction from metallic to weak localization to strong localization will occur as the electric field pressing the electrons toward the surface is varied. Dephasing times in the weakly-localized regime will be measured. An understanding of the electron-ripplon interaction is important because of its potential relevance to the field of quantum computing. The study of one-dimensional surface electron systems is in its infancy, and studies have been confined to dc transport. Studies will probe the normal-mode frequencies of longitudinal (plasmons) and transverse sound modes as well as dc transport properties including localization. The undergraduate and graduate students involved in this research will learn experimental and problem solving skills that will be of use to them in their future careers.%%%This individual investigator award is to an established scientist for a fundamental study of properties of electrons confined to one and two dimensions. At low temperatures, electrons are confined to two dimensions on the surface of liquid helium. They can be further confined to one dimension by locating the helium in narrow grooves of micron-sized width. These systems are of interest because they are the simplest and cleanest examples of a one or two dimensional system. Various properties of these low dimensional electron systems have analogues in three dimensional solids, where they are more difficult to study. It is possible to vary parameters of the low dimension systems through a wider range and with more control than in the three dimensional solids. The project comprises the first attempt to probe the collective properties of one-dimensional electron systems. This study will examine localization of electrons by back scattering from quantized capillary waves (ripplons) on the helium surface. When the scattering from ripplons is made sufficiently strong by forcing an electron against the helium surface with an electric field, the electron should become localized. That is, it should become confined to a small region of micron-sized lateral dimensions. The surface will then deform to create a ripplonic polaron, an electron trapped in a small dimple in the helium surface. This interesting entity has been extensively studied by theorists. The understanding of the scattering of electrons by ripplons is particularly important, since it introduces decoherence into a new design of a quantum computer under study. The undergraduate and graduate students involved in this research will learn experimental and problem solving skills that will be of use to them in their future careers.***