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Novel Phases of Quantum Matter in Numerical Simulations, Field Theory and Materials

数值模拟、场论和材料中量子物质的新相

基本信息

批准号：
2312742
负责人：
Ribhu Kaul
金额：
$ 38.69万
依托单位：
Pennsylvania State Univ University Park
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2023
资助国家：
美国
起止时间：
2023-03-01 至 2024-12-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2312742&HistoricalAwards=false
关键词：
Novel Phases Quantum Matter Numerical

项目摘要

NONTECHNICAL SUMMARYThis award supports theoretical and computational research that covers a selection of topics at the forefront of condensed matter theory and materials science with a focus on magnetism and systems in which electrons interact strongly with each other. Magnetism is a striking example of a phenomenon which arises in crystal materials entirely due to the subtle laws of quantum mechanics. Even though magnetism has been observed and studied since ancient times, modern experimental studies have found time and again this phenomenon to be surprisingly diverse and rich, inspiring a whole new range of intellectual problems for theoretical physicists. For example, it is now well known that one can destroy magnetism by heating any magnetic material above a certain temperature, but studies during the last several decades have indicated that it is also possible to destroy magnetism at the absolute zero of temperature. The mechanisms by which this destruction occurs are subtle, and their fundamental origin is being intensely studied and debated. This research project will contribute to this important scientific endeavor by developing new computational algorithms to study special models of magnetism that can be simulated on a supercomputer and providing an unusual window to this fascinating phenomenon. In addition to this research, the PI will study how magnetism and other quantum mechanical effects arising from strong electron-electron interactions can be created and controlled in specific materials in a laboratory, such as in few layers of carbon atoms stacked on top of each other. A major part of this project involves the training of graduate and undergraduate students in materials science and computational algorithms. The PI will continue to deliver advanced lectures for graduate students and researchers at various institutions and training schools, and make his lecture notes available on his website. The PI will develop his outreach activities outside the University of Kentucky, by visiting four-year colleges (Morehead State University, Centre College, and Berea College) in the state of Kentucky, where he will give pop-science level lectures on quantum physics and lead discussions with students on future opportunities in graduate school. Finally, the PI will continue to organize international conferences that bring together condensed matter and high energy physics researchers that use similar theoretical and computational tools in their respective research areas.TECHNICAL SUMMARYThis award supports theoretical and computational research that covers a selection of topics at the forefront of condensed matter theory and materials science with a focus on quantum many body effects, from the study of basic models of many body physics with numerical and field theoretic methods to the analysis of experimental data. Specific projects include quantum phase transitions of two dimensional spin models with S1/2, quantum criticality of Dirac fermions, algorithmic development for unbiased studies of lattice models of quantum spins and correlated fermions, effects of strong correlations in multi-layer graphene systems and the study of frustrated magnetism and heavy fermion behavior in the family of R2T2X materials. The overarching theme is to identify new phenomena both theoretically and in experiment that involve strong electron-electron interactions that cannot be analyzed by perturbative methods.A major part of this project involves the training of graduate and undergraduate students in materials science and computational algorithms. The PI will continue to deliver advanced lectures for graduate students and researchers at various institutions and training schools, and make his lecture notes available on his website. The PI will develop his outreach activities outside the University of Kentucky, by visiting four-year colleges (Morehead State University, Centre College, and Berea College) in the state of Kentucky, where he will give pop-science level lectures on quantum physics and lead discussions with students on future opportunities in graduate school. Finally, the PI will work to forge collaborations and connections between the lattice gauge theory and condensed matter communities, through organization of conferences and symposia, at national and international venues.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.

非技术总结该奖项支持理论和计算研究，涵盖凝聚态理论和材料科学前沿的一系列主题，重点关注磁性和电子相互作用强烈的系统。磁性是一个引人注目的例子，它完全是由于量子力学的微妙定律而在晶体材料中产生的现象。尽管磁性自古以来就被观察和研究，但现代实验研究一次又一次地发现这种现象惊人的多样性和丰富性，为理论物理学家带来了一系列全新的智力问题。例如，现在众所周知，通过将任何磁性材料加热到一定温度以上可以破坏磁性，但过去几十年的研究表明，在绝对零度下也可以破坏磁性。这种破坏发生的机制是微妙的，其根本原因正在被深入研究和辩论。该研究项目将通过开发新的计算算法来研究可以在超级计算机上模拟的特殊磁性模型，并为这一迷人现象提供一个不寻常的窗口，从而为这一重要的科学奋进做出贡献。除了这项研究之外，PI还将研究如何在实验室的特定材料中产生和控制由强电子-电子相互作用产生的磁性和其他量子力学效应，例如在几层相互堆叠的碳原子中。该项目的一个主要部分涉及材料科学和计算算法的研究生和本科生的培训。PI将继续为各机构和培训学校的研究生和研究人员提供高级讲座，并在他的网站上提供他的讲座笔记。PI将通过访问肯塔基州的四年制大学（Morehead州立大学，Centre College和Berea College），在肯塔基州大学之外开展他的外展活动，在那里他将提供量子物理学的流行科学水平讲座，并与学生讨论研究生院的未来机会。最后，PI将继续组织国际会议，将凝聚态和高能物理研究人员聚集在一起，在各自的研究领域使用类似的理论和计算工具。技术总结该奖项支持理论和计算研究，涵盖凝聚态理论和材料科学的前沿课题，重点是量子多体效应，从用数值和场论方法研究多体物理的基本模型到实验数据的分析。具体项目包括S1/2二维自旋模型的量子相变、狄拉克费米子的量子临界性、量子自旋和相关费米子晶格模型的无偏研究算法开发、多层石墨烯系统中强相关性的影响以及R2 T2 X材料家族中受抑磁性和重费米子行为的研究。首要的主题是在理论和实验中识别新的现象，这些现象涉及无法用微扰方法分析的强电子-电子相互作用。该项目的主要部分涉及材料科学和计算算法的研究生和本科生的培训。PI将继续为各机构和培训学校的研究生和研究人员提供高级讲座，并在他的网站上提供他的讲座笔记。PI将通过访问肯塔基州的四年制大学（Morehead州立大学，Centre College和Berea College），在肯塔基州大学之外开展他的外展活动，在那里他将提供量子物理学的流行科学水平讲座，并与学生讨论研究生院的未来机会。最后，PI将致力于通过在国家和国际场所组织会议和研讨会，在格点规范理论和凝聚态物质社区之间建立合作和联系。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。