CAREER: Dynamics and Transport of Excited Strongly Correlated Many-Particle Systems

职业：受激强相关多粒子系统的动力学和输运

• 批准号: 0955714
• 负责人: Vadim Oganesyan
• 金额: $ 45万
• 依托单位: CUNY College of Staten Island
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-05-01 至 2016-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0955714&HistoricalAwards=false
• 关键词: CAREER; Dynamics; Transport; Excited; Strongly

TECHNICAL SUMMARY This CAREER award supports computational and theoretical research, and education aimed at elucidating the emergence of macroscopic dissipative transport from inherently deterministic and usually quantum microscopic motion of interacting particles. Recent explorations of this fundamental question have been anchored by three phenomena: (i) the so called "bad metal" behavior in synthetic conductors, (ii) many-body localization, and (iii) equilibration of anharmonic oscillators in one dimension. While the first of these is well documented in many interesting materials, such as vanadium dioxide, Buckminsterfullerene, and high temperature superconductors, the latter two are primarily motivated by fundamental questions of many-body theory. The PI aims to propose clear ways to discern these often subtle phenomena in simple experiments. Rather than more common approaches that involve taking a limit of zero absolute temperature, the PI will focus on finite temperature approaches for which very precise numerical computations of dynamical properties are possible. Because phenomena of interest dominate asymptotic low frequency response at non-zero temperatures, calculation at finite temperature enables a convenient avenue for exploration. By most common approaches are not able to address hallmarks of correlated transport as violation of Mott-Ioffe-Regel limit and non-Drude optical response. Motivated by the particularly spectacular examples of correlated transport extending from low to very high temperatures, the PI will explore the idea that the high temperature regime may serve as the novel starting point for analyzing a broad range of experiments done at intermediate to low temperature, from bad metals to heavy fermions to apparent quantum critical points. This award supports educational opportunities for graduate and undergraduate students. The PI plans a diverse research group where students at different levels will be involved in mentoring, education and research experiences. The PI plans to teach an exploration-based course in cross-disciplinary computational research. The PI aims to help boost a public appreciation of materials research with a focus on exposing non-expert audiences to cutting edge research in an accessible form with the aim of effectively stimulating lifelong interest in learning. Outreach activities stemming from this CAREER award will also include colloquium-style public lectures about condensed matter physics and PI's own research. NONTECHNICAL SUMMARY This CAREER award supports computational and theoretical research, and education involving novel phenomena associated with electron motion in synthetic materials that conduct electricity, magnetic materials, and atomic motion in gases of atoms cooled near the absolute zero of temperature. The PI will develop theoretical and numerical methods to describe the motion of electrons in response to applied fields, for example an applied voltage. The PI seeks in part to understand the microscopic origins of dissipation that degrades electron motion. The PI takes a different approach than much of the previous research that has been done on this topic. The research more generally focuses on understanding the dynamical behavior of many electron or many atom systems in which the constituent electrons or atoms interact with each other, the systems are described by quantum mechanics, but the temperature may be high enough that the system is approaching the crossover to classical mechanics. Many electron systems such as these may appear in certain kinds of materials and in nanostructures under the right conditions.This award supports fundamental research that aims at our understanding of electronic properties of materials and the microscopic origins of how energy is lost in electronic motion. The results may lead to the discovery of new phenomena advancing fundamental science and may also lead to new technological applications.This award supports educational opportunities for graduate and undergraduate students. The PI plans a diverse research group where students at different levels will be involved in mentoring, education and research experiences. The PI plans to teach an exploration-based course in cross-disciplinary computational research. The PI aims to help boost a public appreciation of materials research with a focus on exposing non-expert audiences to cutting edge research in an accessible form with the aim of effectively stimulating lifelong interest in learning. Outreach activities stemming from this CAREER award will also include colloquium-style public lectures about condensed matter physics and PI?s own research.

技术摘要 该职业奖支持计算和理论研究以及旨在阐明相互作用粒子的固有确定性和通常量子微观运动中宏观耗散输运的出现的教育。最近对这一基本问题的探索以三种现象为基础：（i）合成导体中所谓的“坏金属”行为，（ii）多体局域化，以及（iii）一维非简谐振子的平衡。虽然其中第一个在许多有趣的材料中都有详细记录，例如二氧化钒、巴克明斯特富勒烯和高温超导体，但后两个主要是由多体理论的基本问题激发的。 PI 旨在提出清晰的方法来在简单的实验中辨别这些通常微妙的现象。 PI 将重点关注有限温度方法，而不是采用零绝对温度限制的更常见方法，从而可以对动态特性进行非常精确的数值计算。由于感兴趣的现象在非零温度下主导渐近低频响应，因此有限温度下的计算为探索提供了方便的途径。大多数常见方法无法解决违反 Mott-Ioffe-Regel 限制和非 Drude 光学响应等相关传输的标志。受相关输运从低温延伸到极高温度的特别引人注目的例子的启发，PI将探索高温状态可以作为分析在中温到低温下进行的广泛实验的新起点的想法，从坏金属到重费米子到明显的量子临界点。该奖项支持研究生和本科生的教育机会。 PI 计划成立一个多元化的研究小组，不同级别的学生将参与指导、教育和研究体验。 PI 计划教授一门基于探索的跨学科计算研究课程。 PI 旨在帮助提高公众对材料研究的认识，重点是让非专家受众以易于理解的形式接触到前沿研究，以有效激发终身学习兴趣。该职业奖的推广活动还将包括关于凝聚态物理和 PI 自己的研究的研讨会式公开讲座。非技术摘要 该职业奖支持计算和理论研究以及教育，涉及与导电合成材料中的电子运动、磁性材料以及冷却在绝对零温度附近的原子气体中的原子运动相关的新现象。 PI 将开发理论和数值方法来描述电子响应外加场（例如外加电压）的运动。 PI 的部分目的是了解降低电子运动的耗散的微观根源。 PI 采取了与之前针对该主题进行的许多研究不同的方法。 该研究更普遍地侧重于理解许多电子或许多原子系统的动态行为，其中组成电子或原子彼此相互作用，这些系统是由量子力学描述的，但温度可能足够高，以至于系统接近与经典力学的交叉。在适当的条件下，诸如此类的许多电子系统可能会出现在某些类型的材料和纳米结构中。该奖项支持基础研究，旨在帮助我们了解材料的电子特性以及电子运动中能量损失的微观起源。研究结果可能会发现推动基础科学发展的新现象，也可能会带来新技术应用。该奖项支持研究生和本科生的教育机会。 PI 计划成立一个多元化的研究小组，不同级别的学生将参与指导、教育和研究体验。 PI 计划教授一门基于探索的跨学科计算研究课程。 PI 旨在帮助提高公众对材料研究的认识，重点是让非专家受众以易于理解的形式接触到前沿研究，以有效激发终身学习兴趣。该职业奖的推广活动还将包括关于凝聚态物理和 PI 自己的研究的研讨会式公开讲座。