RUI-Unconventional Anisotropic Order in Strongly Correlated Fermi Systems

RUI-强相关费米系统中的非常规各向异性阶次

基本信息

批准号：
1410350
负责人：
Orion Ciftja
金额：
$ 15.94万
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：
2014
资助国家：
美国
起止时间：
2014-09-01 至 2018-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1410350&HistoricalAwards=false
关键词：
RUI Unconventional Anisotropic Order Strongly

项目摘要

NONTECHNICAL SUMMARYThis award supports fundamental theoretical and computational research on systems of electrons that interact strongly with each other leading to novel electronic states that spontaneously develop a preferred direction. How these states respond to say, an applied magnetic or electric field depends on the relative orientation of the field to the preferred direction. The PI will investigate how states with a preferred direction can arise eventhough the fundamental interaction between two electrons depends only on distance between them and so, is the same for any direction. Of particular interest is how anisotropic states emerge in electrons confined to a plane at the interface of two semiconductors and exposed to a perpendicular or nearly perpendicular magnetic field. The PI will investigate quantum mechanical states of electrons that are curiously analogous to the states of long molecules in liquid crystals that form the basis of modern display technology. This research contributes to the intellectual foundations that lead to new electronic and optical device technologies. This research project provides an effective vehicle for involving undergraduate students in research and training them in skills that will be valuable in the modern technical workforce. Undergraduate students, often minority students, will be involved in important aspects of this research. Because the research will require exploring a variety of models using various methods methods, there are many opportunities for undergraduate students to gain important research experience that can help them as they pursue future graduate studies. This project will help to enhance the research and the education infrastructure at the local institution. Through outreach activities, the PI aims to increase interest in science topics at local communities and high schools ultimately contributing to broader participation in science.TECHNICAL SUMMARYThis award supports research and education with the aim to investigate the emergence of unconventional anisotropic order in strongly correlated Fermion systems at absolute zero temperature. The interplay between interactions and quantum effects in this regime may lead to the stabilization of novel quantum phases with unconventional properties. The main goal of this project is to study how various unconventional anisotropic phases with liquid crystalline order can be stabilized in strongly correlated Fermi systems with non-monotonic but isotropic interaction potentials. A focus of this research is to investigate how isotropic interaction potentials trigger anisotropic behavior. The PI and his research team will employ theoretical and computational methods to address outstanding questions regarding the appearance of novel types of anisotropic ordering and phase transitions leading to unconventionally ordered quantum states. The PI aims to develop a framework to understand the emergence of anisotropic order in various correlated Fermion systems by exploring mechanisms ranging from spontaneous Fermi surface deformations to novel anisotropic liquid crystalline phases in a magnetic field. The PI aims to advance understanding of several fundamental issues including: (i) The stabilization of anisotropic Fermi liquid phases due to a non-monotonic interaction potential, namely, how isotropic interaction potentials can drive a correlated Fermi systems towards anisotropic order; (ii) The nature of the recently discovered anisotropic quantum Hall phases in tilted magnetic field for Laughlin-like filling factors in the first excited Landau level; and (iii) The nature of anisotropic liquid crystalline phases in a weak magnetic field in presence of weak anisotropic perturbations that break the rotational symmetry of the dominant interaction potential.This research project provides an effective vehicle for involving undergraduate students in research and training them in skills that will valuable in the modern technical workforce. Undergraduate students, often minority students, will be involved in important aspects of this research. Because the research will require exploring a variety of models using various methods, there are many opportunities for undergraduate students to gain important research experience that can help them as they pursue future graduate studies. This project will help to enhance the research and the education infrastructure at the local institution. Through outreach activities, the PI aims to increase interest in science topics at local communities and high schools ultimately contributing to broader participation in science.

非技术摘要这一奖项支持对电子系统的基本理论和计算研究，这些电子系统相互互动，从而导致新型电子状态自发地发展了首选方向。这些状态如何响应说，施加的磁场或电场取决于该场与首选方向的相对方向。尽管两个电子之间的基本相互作用仅取决于它们之间的距离，因此PI将如何在任何方向上都依赖于它们之间的基本相互作用，但对于任何方向都相同。特别令人感兴趣的是如何在两个半导体界面处的电子中出现各向异性状态，并暴露于垂直或垂直磁场。 PI将研究电子的量子机械状态，这些量子与液晶中的长分子状态相似，这些状态构成了现代展示技术的基础。这项研究为导致新的电子和光学设备技术的知识基础做出了贡献。该研究项目提供了一种有效的工具，可让本科生参与研究，并培训他们在现代技术劳动力中具有价值的技能。本科生，通常是少数族裔学生，将参与这项研究的重要方面。由于研究将需要使用各种方法探索各种模型，因此本科生有很多机会获得重要的研究经验，可以帮助他们在追求未来的研究生学习时帮助他们。该项目将有助于加强当地机构的研究和教育基础设施。通过外展活动，PI旨在增加对当地社区和高中科学主题的兴趣在绝对零温度下。在这种状态下，相互作用与量子效应之间的相互作用可能导致具有非常规性能的新型量子相的稳定。该项目的主要目的是研究如何在具有非单调但各向同性相互作用电位的强相关的费米系统中稳定具有液晶级的各种非常规各向异性相。这项研究的重点是研究各性相互作用电位如何触发各向异性行为。 PI和他的研究团队将采用理论和计算方法来解决有关新型各向异性订购类型的出现以及导致不常规有序量子状态的出现的杰出问题。 PI旨在开发一个框架，通过探索从自发的费米表面变形到新型各向异性液体晶体阶段的机制，了解各种相关的费米亚系统中各向异性顺序的出现。 PI旨在提高对几个基本问题的理解，包括：（i）由于非单调相互作用潜力而导致各向异性费米液相的稳定，即，各向同性相互作用潜在如何将相关的费米系统驱动到各向异性阶的相关系统；（ii）最近发现的各向异性量子大厅相的性质在倾斜的磁场中，在第一个兴奋的兰道水平上，laughlin样填充因子；（iii）在存在弱各向异性扰动的情况下，弱磁场中各向异性液体晶体相的性质，破坏了主要相互作用潜力的旋转对称性。这项研究项目提供了有效的工具，可有效地参与研究本科生的研究和培训它们。在现代技术劳动力中有价值的技能。本科生，通常是少数族裔学生，将参与这项研究的重要方面。由于研究需要使用各种方法探索各种模型，因此本科生有很多机会获得重要的研究经验，可以帮助他们在追求未来的研究生学习时帮助他们。该项目将有助于加强当地机构的研究和教育基础设施。通过外展活动，PI旨在提高对当地社区和高中科学主题的兴趣，最终有助于更广泛的科学参与。