RUI: Highly Correlated Systems of Reduced Dimensionality: A Study of the Fractional Quantum Hall Effect

RUI：高度相关的降维系统：分数量子霍尔效应的研究

• 批准号: 9420560
• 负责人: Edward Rezayi
• 金额: $ 22万
• 依托单位: California State L A University Auxiliary Services Inc.
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-01-01 至 2000-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9420560&HistoricalAwards=false
• 关键词: RUI; Highly; Correlated; Systems; Reduced

9420560 Rezayi Numerical work is proposed to investigate some outstanding problems in the phonomenon of the fractionally quantized Hall effect, which is observed in a two-dimensional electron gas subject to a transverse magnetic field. The electron layer is formed at the semi-conductor interface of a high quality gallium-arsenic heterostructure semi-conductor device. The proposed research addresses the nature and properties of the Fermi-Liquid state formed at even fractions of the lowest Landau level occupation, novel parafermion quantum Hall states and the physical conditions which stabilize them, edge states, the quantum fluid to classical Wigner crystal transition, and optical properties of quantum Hall state. %%% This research is aimed at understanding the behavior of a system of electrons (carriers of electric current) confined spatially to a plane and subject to a perpendicular magnetic field as prepared in gallium-arsenic heterostructure devices. Under suitable conditions the electrons exhibit the phenomenon of Fractional Quantum Hall Effect. The phenomenon results from the condensation of electrons into a highly collective state with the little semblance of their initial individual characteristics. This is the subatomic realm of quantum mechanics - an area of considerable scientific interest. In addition, the quantum Hall effect has potential technological applications in semiconductor industry. This RUI research will be carried out at California State University, Los Angeles - a predominantly undergraduate minority institution - and will involve both undergraduate and Master's level students.

本文用数值方法研究了横向磁场作用下二维电子气中分数量子化霍尔效应现象中的一些突出问题。 电子层形成于高品质镓砷异质结构半导体装置的半导体界面。 本论文主要研究了在最低朗道能级占据的偶数分数处形成的费米-液态的性质和性质、新型的仿费米子量子霍尔态及其稳定的物理条件、边缘态、量子流体到经典维格纳晶体的转变以及量子霍尔态的光学性质。 本研究的目的是了解一个系统的电子（电流的载体）的行为空间限制在一个平面上，并受到一个垂直的磁场制备的镓砷异质结器件。 在适当的条件下，电子表现出分数量子霍尔效应。 这种现象是由于电子凝聚成一个高度集体的状态，而它们最初的个体特征几乎没有什么意义。 这是量子力学的亚原子领域--一个相当有科学意义的领域。 此外，量子霍尔效应在半导体工业中具有潜在的技术应用。 RUI的研究将在洛杉矶的加州州立大学进行，这是一所以本科少数民族为主的机构，将涉及本科和硕士生。