Computational Studies of Entanglement and Thermodynamics of Strongly Interacting Spin Systems

强相互作用自旋系统的纠缠和热力学的计算研究

基本信息

  • 批准号:
    1306048
  • 负责人:
  • 金额:
    $ 28.5万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Continuing 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

项目摘要

NONTECHNICAL SUMMARYThis award supports theoretical and computational modeling of novel phases of matter in materials. From magnets to metals to semiconductors and superconductors, the properties of these materials are determined by electrons moving in the intricate crystalline environment of a given material and cooperating with each other due to the principles of quantum mechanics and electrostatic Coulomb interactions. New electronic states can emerge from the correlated motion of electrons. The PI will study phases of electrons in models for materials that can: (i) provide insight into how new phenomena and properties emerge as a result of complex cooperative behavior of a large number of electrons, and (ii) present experimental scientists with possible materials with properties that can be controlled externally in novel ways, allowing for various devices and applications. Examples of electronic phases to be studied include those in high temperature superconductors, systems that are close to transforming from a metal to an insulator, and materials that exhibit unusual forms of magnetism. While focused primarily on the study of phenomena in materials, this project has deep connections with fundamentals of quantum field theory and even geometry, topology and quantum gravity.Educational components of this project involve training graduate and advanced undergraduate students in the areas of Computational Physics, with skills that would be broadly useful over all areas of science and engineering. It would also involve interacting with high school students through the California Summer School for Math and Science program of the University of California, where the PI would develop and teach courses suitable for these students. TECHNICAL SUMMARYThis award supports theoretical and computational modeling of novel electronic phases of matter in materials. Quantum mechanics underlies much of our understanding of solid state physics. This project deals with exotic quantum phases that defy conventional paradigms of many-electron behavior. Strongly competing interactions between electrons and their spins can lead to frustration and exotic quantum phases, where new degrees of freedom can emerge. The PI will focus particularly on the existence of novel quantum phases of matter in real magnetic materials with competing or frustrating exchange interactions. Such phases can support emergent fields and particles inside the materials that are not found elsewhere. The PI will pursue systematic calculations of thermodynamic and spectral properties of appropriate models, with and without quenched disorder using high-temperature series expansions and numerical linked cluster expansions. This will help establish the connection between models and materials. Systems to be studied include quantum spin-ice materials and Kagome-Lattice Heisenberg systems. The PI will work with experimental groups to understand such phenomena as unconventional superconductivity in the iron-pnictide materials, quantum spin-ice behavior and emergent quantum electrodynamics in rare-earth pyrochlores such as ytterbium titanate, and quantum spin-liquids in kagome and triangular lattice antiferromagnets.Another focus of the project is the study of quantum entanglement in many-body systems. Using series expansion methods, the PI will calculate ground state entanglement entropies in various lattice-statistical models. These calculations should be informative about quantum phase transitions and critical phenomena, Fermi-surface geometry and topological phases of matter. In addition, this subject also has deep connections with quantum information theory, quantum field theory, geometry, topology and even quantum gravity.Educational components of the project involve training graduate and undergraduate students in methods of theoretical and computational physics that should be broadly useful in science and industry. In addition the PI will work with talented high school students through the California Summer School for Math and Science program of the University of California and with underrepresented students through the Mentorship for Undergraduate Research Participants in the Physical and Mathematical Sciences program.
非技术总结该奖项支持对材料中新的物质相进行理论和计算建模。从磁体到金属,再到半导体和超导体,这些材料的性质是由电子在给定材料复杂的结晶环境中运动并根据量子力学和静电库仑相互作用原理相互作用而决定的。电子的相关运动可以产生新的电子态。PI将研究材料模型中的电子相,这些材料可以:(I)洞察大量电子的复杂合作行为是如何产生新的现象和性质的,以及(Ii)为实验科学家提供可能的材料,这些材料的性质可以通过新的方式在外部进行控制,从而允许各种设备和应用。要研究的电子相的例子包括高温超导体中的电子相,接近从金属转变为绝缘体的系统,以及表现出不寻常形式磁性的材料。虽然这个项目主要专注于材料现象的研究,但它与量子场论的基础,甚至几何、拓扑和量子引力有着深刻的联系。这个项目的教育内容包括培养计算物理领域的研究生和高级本科生,这些技能将在所有科学和工程领域广泛使用。它还包括通过加州大学的加州数学和科学暑期学校项目与高中生互动,在该项目中,PI将开发和教授适合这些学生的课程。技术总结该奖项支持对材料中物质的新型电子相进行理论和计算建模。量子力学在很大程度上奠定了我们对固态物理的理解。这个项目处理的是奇异的量子相,它挑战了传统的多电子行为范式。电子及其自旋之间的强烈竞争相互作用可能会导致挫折感和奇异的量子相,在这种情况下,新的自由度可能会出现。PI将特别关注具有竞争或令人沮丧的交换相互作用的真实磁性材料中物质的新的量子相的存在。这样的相可以支持在其他地方找不到的材料内部出现的场和粒子。PI将对适当模型的热力学和光谱性质进行系统的计算,使用高温级数展开和数值链接的团簇展开,在有和没有淬灭无序的情况下进行。这将有助于在模型和材质之间建立联系。将要研究的系统包括量子自旋-冰材料和Kagome-Lattice Heisenberg系统。PI将与实验小组合作,了解铁锂化合物材料中的非传统超导现象,钛酸Yb等稀土焦绿石中的量子自旋-冰行为和浮现的量子电动力学,以及Kagome和三角晶格反铁磁体中的量子自旋液体。该项目的另一个重点是研究多体系统中的量子纠缠。利用级数展开方法,PI将计算各种晶格统计模型中的基态纠缠熵。这些计算应该是关于量子相变和临界现象、费米面几何和物质的拓扑相的信息。此外,这门学科还与量子信息论、量子场论、几何学、拓扑学甚至量子引力有很深的联系。该项目的教学内容包括培养研究生和本科生学习理论和计算物理的方法,这些方法应该在科学和工业中广泛使用。此外,PI将通过加州大学的加州数学和科学暑期学校计划与有才华的高中生合作,并通过物理和数学科学计划的本科生研究参与者导师计划与代表不足的学生合作。

项目成果

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Rajiv Singh其他文献

Engineering amyloid fibrils from β-solenoid proteins for biomaterials applications.
从 β-螺线管蛋白中工程化淀粉样原纤维,用于生物材料应用。
  • DOI:
  • 发表时间:
    2015
  • 期刊:
  • 影响因子:
    17.1
  • 作者:
    Maria D R Peralta;Á. Karsai;A. Ngo;Catherine Sierra;Kai T. Fong;N. R. Hayre;Nima Mirzaee;Krishnakumar M. Ravikumar;Alexander Kluber;Xi Chen;Gang;M. Toney;Rajiv Singh;D. Cox
  • 通讯作者:
    D. Cox
Efficient Dehazing Technique for Hazy Images using DCP and WAF
使用 DCP 和 WAF 的模糊图像高效去雾技术
Modeling the self-assembly dynamics of macromolecular protein aggregates underlying neurodegenerative disorders
模拟神经退行性疾病中大分子蛋白聚集体的自组装动力学
  • DOI:
  • 发表时间:
    2009
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Zhenyuan Zhao;Rajiv Singh;Arghya Barman;N. Johnson;Rajeev Prabhakar
  • 通讯作者:
    Rajeev Prabhakar
Wind Turbine Standards and Certification: Indian Perspective
风力发电机标准和认证:印度视角
  • DOI:
  • 发表时间:
    2017
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Rajiv Singh;Ashutosh Kumar Singh;Padmanabh Thakur
  • 通讯作者:
    Padmanabh Thakur
The effect of socioeconomic deprivation on 12 month Traumatic Brain Injury (TBI) outcome
社会经济剥夺对 12 个月创伤性脑损伤 (TBI) 结局的影响
  • DOI:
    10.1080/02699052.2020.1715481
  • 发表时间:
    2020
  • 期刊:
  • 影响因子:
    1.9
  • 作者:
    T. Humphries;S. Ingram;S. Sinha;F. Lecky;J. Dawson;Rajiv Singh
  • 通讯作者:
    Rajiv Singh

Rajiv Singh的其他文献

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{{ truncateString('Rajiv Singh', 18)}}的其他基金

Accel-Net Implementation: Accel-Net Implementation for Quantum Materials
Accel-Net 实施:量子材料的 Accel-Net 实施
  • 批准号:
    2201516
  • 财政年份:
    2022
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Standard Grant
Quenched Disorder in Frustrated Magnets
受挫磁铁中的淬灭无序
  • 批准号:
    1855111
  • 财政年份:
    2019
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Continuing Grant
Highly Frustrated Magnetism 2018 Conference
高度沮丧的磁力2018年会议
  • 批准号:
    1801046
  • 财政年份:
    2018
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Standard Grant
SBIR Phase I: Low Cost Scalable Manufacturing of Patterned Sapphire Substrates (PSS) for High Efficiency LEDs
SBIR 第一阶段:用于高效率 LED 的图案化蓝宝石衬底 (PSS) 的低成本可扩展制造
  • 批准号:
    1248745
  • 财政年份:
    2013
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Standard Grant
Frustrated Magnetism in Triangular Geometries with Heisenberg and Multi-spin Ring Exchanges
海森堡和多自旋环交换三角形几何中的受抑磁力
  • 批准号:
    1004231
  • 财政年份:
    2010
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Continuing Grant
US-Egypt Cooperative Research: Processing of Silica Fumes From Ferrosilicon Industries into Chemical Mechanical Polishing Nanoslurries for Advanced Semiconductor Manufacturing
美国-埃及合作研究:将硅铁工业中的硅粉加工成用于先进半导体制造的化学机械抛光纳米浆料
  • 批准号:
    0527560
  • 财政年份:
    2005
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Standard Grant
Quantum Magnetism in Low-Dimensional Materials
低维材料中的量子磁性
  • 批准号:
    0240918
  • 财政年份:
    2003
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Continuing Grant
NER: Novel, High Throughput Continuous Nanoparticle Classifier (CNC)
NER:新型高通量连续纳米颗粒分级机 (CNC)
  • 批准号:
    0210534
  • 财政年份:
    2002
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Standard Grant
Quantum Disorder and Spin-Gaps In Models and Real Materials
模型和真实材料中的量子无序和自旋间隙
  • 批准号:
    9986948
  • 财政年份:
    2000
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Continuing Grant
Correlations, Fluctuations and Elementary Excitations in Insulating and Doped Quantum Magnets
绝缘和掺杂量子磁体中的相关性、涨落和基本激发
  • 批准号:
    9616574
  • 财政年份:
    1997
  • 资助金额:
    $ 28.5万
  • 项目类别:
    Standard Grant

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