Topology and Frustration in Spin-Orbit Coupled Quantum Magnets

自旋轨道耦合量子磁体的拓扑和挫败感

基本信息

批准号：
1929311
负责人：
Natalia Perkins
金额：
$ 33.52万
依托单位：
University of Minnesota-Twin Cities
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-04-15 至 2023-03-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1929311&HistoricalAwards=false
关键词：
Topology Frustration Spin Orbit Coupled

项目摘要

NONTECHNICAL SUMMARYThis award supports theoretical research and education that is aimed to advance understanding of novel magnetic states that arise in materials where electrons can interact strongly with each other through the Coulomb interaction and with atomic cores through their motion and intrinsic magnetic properties. This area of research has recently experienced rapid and exciting developments both in theory and in experiment. The discovery and understanding of novel materials are crucial to sustain technological progress, and close work between theory and experiment has accelerated research on these materials. A particular focus of this project will be the study of quantum spin liquids. These are fascinating states of electron matter which show no signatures of magnetic ordering down to the absolute zero of temperature. The research team plans to elucidate remarkable phenomena involving quantum spin liquids, and to investigate their potential applications for topological quantum computation. Topological quantum computers are envisioned to do computation by manipulating a kind of particle-like quantum state that may emerge under the right conditions in interacting systems of many-electrons. An important part of the broader impact of the PI's scientific activity will be mentoring PhD, Master and undergraduate students in advanced condensed matter physics. The research will be integrated with educational activities at the University of Minnesota and in the broader research community, including summer schools, conferences, and workshops.TECHNICAL SUMMARYThis award supports theoretical research and education to study novel quantum phases arising from collective behavior of correlated electrons in the presence of strong spin-orbit coupling, non-trivial topology, and disorder. In particular, the PI will focus on the development and analysis of effective super-exchange Hamiltonians to describe Kitaev materials, which are realized in a variety of systems such as transition metal oxides, rare-earths, and halides. The research team will compute ground state phase diagrams of these models and identify the nature of possible quantum states and phase transitions among them. The research team will also study finite temperature properties of these models and the effects of magnetic field; the presence of anisotropic interactions in these models often significantly modifies the magnetization processes. The research team will also study the effects of disorder in these systems, as the competition of disorder, frustration and topology can potentially give rise to many unexpectedphenomena. PI will also be working on the microscopic modeling of QSLs and developing of appropriate field-theoretical methods to describe them. The research will be integrated with educational activities at the University of Minnesota and in the broader research community, including summer schools, conferences, and workshops.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.

非技术摘要这一奖项支持理论研究和教育，旨在提高人们对电子可以通过库仑相互作用彼此相互作用的材料中出现的新型磁性状态，并通过其运动和内在的磁性与原子岩心进行强烈的相互作用。这一研究领域最近在理论和实验中都经历了快速而令人兴奋的发展。对新材料的发现和理解对于维持技术进步至关重要，理论与实验之间的紧密工作加速了对这些材料的研究。该项目的一个特殊重点将是对量子自旋液体的研究。这些是电子物质的引人入胜的状态，没有显示磁性排序的签名，以降低到温度的绝对零。研究小组计划阐明涉及量子自旋液体的显着现象，并研究其对拓扑量子计算的潜在应用。拓扑量子计算机设想通过操纵一种类似粒子的量子状态来进行计算，该量子状态可能会在许多电子的相互作用系统中出现。 PI科学活动的更广泛影响的重要组成部分是指导博士学位，硕士和本科生在高级冷凝物理物理学中。这项研究将与明尼苏达大学和更广泛的研究社区的教育活动相结合，包括暑期学校，会议和讲习班。技术摘要这一奖项支持理论研究和教育，以研究研究新颖的量子阶段，这些量子阶段是由相关电子在相关电子中集体行为引起的，强烈的自旋轨道耦合，非平凡拓扑和混乱的存在。特别是，PI将重点介绍有效的超级交换哈密顿量的开发和分析，以描述Kitaev材料，这些材料已在各种系统中实现，例如过渡金属氧化物，稀有地球和卤化物。研究团队将计算这些模型的基态相图，并确定可能的量子状态的性质以及它们之间的相变的性质。研究团队还将研究这些模型的有限温度特性和磁场的影响。这些模型中各向异性相互作用的存在通常会显着改变磁化过程。研究团队还将研究这些系统中疾病的影响，因为疾病，挫败感和拓扑的竞争可能会引起许多意外的苯丙胺。 PI还将研究QSL的显微镜建模，并开发适当的现场理论方法来描述它们。这项研究将与明尼苏达大学和更广泛的研究社区的教育活动相结合，包括暑期学校，会议和研讨会。该奖项反映了NSF的法定使命，并被认为是值得通过基金会的知识分子优点和评估来支持的。更广泛的影响审查标准。