Spin Ordering and Transport in Correlated Electronic and Atomic Systems

技术概述：该奖项支持相关电子和原子系统中自旋有序和输运的理论研究和教育。PI将研究相关电子材料的集体自旋物理问题，以及具有非零自旋的原子的玻色-爱因斯坦凝聚。这项研究分为三个子领域：与一类新材料有关的自旋输运现象；量子效应对旋量玻色凝聚体的相序和相干动力学的影响；量子信息思想在改进受挫磁体的表征和模拟方面的应用。在这些子领域中的每一个领域，这项研究都建立在之前美国国家科学基金会支持下进行的皮埃尔？S的工作基础上。第一个研究领域的关键内容是了解拓扑绝缘子中的关联物理是如何修改的，并更深入地描述三维拓扑绝缘子。在第二个领域，PI研究了拓扑缺陷和偶极相互作用对玻色自旋凝聚量子理论的影响，因为这些被认为是解释实验所必需的。在第三个领域，该研究在当前实验兴趣的受挫磁场模型上测试了维度大于DMRG类算法的具体建议。这项工作具有更广泛的影响，超出了特定研究调查的范围，包括教育和与新兴设备技术的相关性。固体中自旋输运的研究目前在半导体应用领域引起了极大的兴趣，利用电子自旋的量子性质的器件正在开发中。这项研究与未来使用旋量玻色凝聚体作为超灵敏磁场探测器的想法有关，空间分辨率比现有最好的设备更精细，其应用范围超出了核磁共振设备。从科学上讲，找到局域哈密顿基态的改进算法在物理学的许多领域都很重要。这一奖项具有教育性，首先是对研究生的支持，他们将把这项研究作为博士论文的基础。这项工作影响到PI在大学内的课程发展和本科生研究指导方面的努力。有了这个奖项，PI将继续开发在线教育材料，将劳伦斯·霍尔科学学院作为扩展计划的主要组成部分，并与每年为高中生举办的公开讲座或小组讨论相结合。非技术摘要：该奖项支持对最近发现的电信号现象的研究和教育，这些现象与运动电荷无关，而与电子似乎固有的旋转或自旋以及电子群在空间上转移自旋的方式有关。这些现象并非与磁性无关，而磁性也与本征电子自旋有关。这些现象已经被观察到了，但理论解释不太清楚，这项研究试图澄清物理机制，从而增加在设备技术中控制和利用这种现象的能力。最终，这可能是电子逻辑器件的基础，电子逻辑器件比目前基于电荷运动和电荷积累的晶体管技术快几个数量级，效率更高。这项工作具有更广泛的影响，超出了具体的研究调查，包括教育和与新兴器件技术的相关性。固体中自旋输运的研究目前在半导体应用领域引起了极大的兴趣，利用电子自旋的量子性质的器件正在开发中。这项研究与未来使用旋量玻色凝聚体作为超灵敏磁场探测器的想法有关，空间分辨率比现有最好的设备更精细，其应用范围超出了核磁共振设备。从科学上讲，改进的算法在物理学的许多领域都很重要。这一奖项具有教育性，首先是对研究生的支持，他们将把这项研究作为博士论文的基础。这项工作影响到PI在大学内的课程发展和本科生研究指导方面的努力。有了这个奖项，PI将继续开发在线教育材料，将劳伦斯科学馆作为外展计划的主要组成部分，并与每年为高中生举办的公开讲座或小组讨论相结合。

TECHNICAL SUMMARY:This award supports theoretical research and education on spin ordering and transport in correlated electronic and atomic systems. The PI will investigate problems in the collective spin physics of correlated electron materials and Bose-Einstein condensates of atoms with nonzero spin. The research is divided into three subfields: spin transport phenomena related to the new class of materials called ''topological insulators''; quantum effects on the phase ordering and coherent dynamics of spinor Bose condensates; applications of quantum information ideas to improved characterization and simulation of frustrated magnets. In each of these subfields, the research builds on the PI?s work performed under prior NSF support. The key elements in the first research area are to understand how correlation physics is modified in a topological insulator and to describe three dimensional topological insulators in greater depth. In the second area, the PI studies effects of topological defects and dipolar interactions on the quantum theory of Bose condensates with spin, as these are believed to be essential for the interpretation of experiments. In the third area, the research tests specific proposals for DMRG-like algorithms in dimension greater than one on frustrated magnetic models of current experimental interest.The work has broader impact beyond the specific research investigations including education and relevance to emerging device technologies. The work on spin transport in solids is currently of great interest in the applied semiconductor community, and devices using the quantum nature of electron spin are in development. The research is relevant to ideas of future use of spinor Bose condensates as ultrasensitive magnetic field detectors with spatial resolution finer than in the best existing devices with applications beyond MRI devices. Scientifically, improved algorithms to find ground states of local Hamiltonians are important in many areas of physics. This award has educational befits, the first being support of graduate students who will use the research as the basis for the Ph.D. Dissertation. The work influences the efforts of the PI in course development and undergraduate student research supervision within the university. With this award, the PI will continue development of on line educational materials with Lawrence Hall of Science as the major component of the outreach program, in conjunction with annual public lectures or panels for high school students.NONTECHNICAL SUMMARY:This award supports research and education on the recently discovered phenomena of electrical signals that are not associated with moving electrical charges, but rather associated with the seeming intrinsic rotation or spin that electron possess and the way groups of electrons transfer spin spatially. The phenomena are not unrelated to magnetism which also is connected to the intrinsic electron spin. The phenomena have been observed, but the theoretical explanation is less clear and the research seeks to clarify physical mechanisms and thereby add to the ability to control and utilize the phenomenon in device technology. Eventually, this may be the basis of electronic logic devices that are orders of magnitude faster and more efficient that the current transistor technology based on charge movement and charge accumulation.The work has broader impact beyond the specific research investigations including education and relevance to emerging device technologies. The work on spin transport in solids is currently of great interest in the applied semiconductor community, and devices using the quantum nature of electron spin are in development. The research is relevant to ideas of future use of spinor Bose condensates as ultrasensitive magnetic field detectors with spatial resolution finer than in the best existing devices with applications beyond MRI devices. Scientifically, improved algorithms are important in many areas of physics. This award has educational befits, the first being support of graduate students who will use the research as the basis for the Ph.D. Dissertation. The work influences the efforts of the PI in course development and undergraduate student research supervision within the university. With this award, the PI will continue development of on line educational materials with Lawrence Hall of Science as the major component of the outreach program, in conjunction with annual public lectures or panels for high school students.