Breakdown of Rotational Invariance in Quantum Hall Systems with Anisotropic Interaction

具有各向异性相互作用的量子霍尔系统中旋转不变性的分解

基本信息

批准号：
1705084
负责人：
Orion Ciftja
金额：
$ 20万
依托单位：
Prairie View A & M University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2017
资助国家：
美国
起止时间：
2017-09-01 至 2020-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1705084&HistoricalAwards=false
关键词：
Breakdown Rotational Invariance Quantum Hall

项目摘要

NONTECHNICAL SUMMARYThe Division of Materials Research and the Division of Human Resource Development contribute funds to this award. It supports fundamental theoretical and computational research on two-dimensional systems of electrons that interact strongly with each other leading to novel electronic states that spontaneously develop a preferred direction. Two-dimensional systems of electrons can be created at the interface of two semiconductors, and they manifest intriguing properties in the presence of a strong perpendicular magnetic field. In that situation, electrons are predicted to form a liquid-like state of matter, exhibiting properties that appear the same in all directions, that is, they are isotropic. However, the presence of an anisotropic or direction-dependent interaction between electrons may drastically change the system's properties, resulting in quantum mechanical states of electrons that are analogous to the states of long molecules in liquid crystals, which form the basis of modern liquid-crystal displays. The PI and his team will use analytical and computational methods to understand the nature of the anisotropy in a system of electrons that interact with an anisotropic interaction potential. The research will contribute to the intellectual foundations that lead to new electronic and optical device technologies.Undergraduate, and often minority, students at the Historically Black Prairie View A & M University will be trained in applying analytical methods and in carrying out numerical simulations. The students will gain important research experience that can help them in their pursuit of future graduate studies, and will help enhance the research and education infrastructure of the institution. The PI will carry out outreach activities that aim to increase interest in science topics at local communities and high schools.TECHNICAL SUMMARYThis award supports theoretical research and education on the emergence of anisotropic orders in strongly correlated quantum Hall systems of electrons in the presence of an anisotropic interaction potential. An anisotropic interaction potential may naturally lead to anisotropic order at regimes where only an isotropic liquid was previously thought possible. These novel quantum phases may possess unconventional properties of great interest to the broad field of theoretical condensed matter physics.The project will develop a framework to understand the emergence of anisotropic order in quantum Hall systems in the presence of an anisotropic interaction potential in the extreme quantum limit. The research aims to explore outstanding issues such as: i) the stability of novel anisotropic quantum Hall liquid phases at odd-denominator filling factors of the lowest Landau level driven by an anisotropic Coulomb interaction potential between electrons, and ii) the stability of novel anisotropic Fermi liquid phases at even-denominator filling factors of the lowest Landau level driven by an anisotropic Coulomb interaction potential between electrons. The PI and his research team will use a combination of analytical and computational methods to carry out the research activities.Undergraduate, and often minority, students at the Historically Black Prairie View A & M University will be trained in applying analytical methods and in carrying out numerical simulations. The students will gain important research experience that can help them in their pursuit of future graduate studies, and will help enhance the research and education infrastructure of the institution. The PI will carry out outreach activities that aim to increase interest in science topics at local communities and high schools.

非技术性摘要材料研究和人力资源开发部门为该奖项贡献了资金。它支持对电子的二维系统的基本理论和计算研究，这些系统彼此相互作用，从而导致新型电子状态自发发展优选方向。可以在两个半导体的界面上创建电子系统的二维系统，并且它们在存在强垂直磁场的情况下表现出有趣的特性。在这种情况下，预测电子会形成液态状态，在所有方向上都表现出相同的特性，即它们是各向同性的。然而，电子之间的各向异性或方向依赖性相互作用可能会大大改变系统的性质，从而导致电子的量子机械状态与液晶中的长分子状态类似，这些状态构成了现代液体晶状体显示的基础。 PI和他的团队将使用分析和计算方法来了解与各向异性相互作用潜力相互作用的电子系统中各向异性的性质。这项研究将为导致新的电子和光学设备技术的智力基础做出贡献。在历史悠久的黑人草原观点A＆M大学的学生和少数群体中，将接受采用分析方法和进行数值模拟的培训。学生将获得重要的研究经验，可以帮助他们追求未来的研究生学习，并有助于增强机构的研究和教育基础设施。 PI将开展宣传活动，旨在增加当地社区和高中的科学主题的兴趣。技术简介本奖支持在存在各向异性相互作用潜力的情况下，在强烈相关的电子量子厅系统中，电子研究和教育方面的出现。各向异性相互作用的潜力自然可能会导致在以前只有各向同性液体可能才有可能的状态下导致各向异性顺序。这些新颖的量子阶段可能具有非常规性的特性，这对理论凝结物理学的广泛领域具有极大的兴趣。该项目将开发一个框架，以了解在极端量子限制中具有各向异性相互作用潜力的量子霍尔系统中各向异性秩序的出现。该研究的目的是探索诸如：i）新各向异性量子厅液体液体在奇数级别的填充因子上的稳定性，该因素是由电子coolomb的相互作用驱动的最低兰道水平驱动的，以及ii之间的各向异性colombi sy anty and dande indenter draine draine draine draine draine draine drane drest draine draine draine drane drane drestries drane drest drane drest drane drest verester的稳定性。电子之间的库仑相互作用电位。 PI和他的研究团队将使用分析和计算方法的结合来开展研究活动。在历史上悠久的黑人草原观点A＆M大学的学生和少数群体将接受采用分析方法和进行数值模拟的培训。学生将获得重要的研究经验，可以帮助他们追求未来的研究生学习，并有助于增强机构的研究和教育基础设施。 PI将开展外展活动，旨在增加对当地社区和高中科学主题的兴趣。