Correlated Electron Transport in Mesoscopic Structures

0237296 Glazman该奖项支持介观物理领域的理论研究和教育。 研究的重点是介观相互作用电子系统的低能性质，以及这些性质与电子输运特性之间的关系。电子输运在量子线，量子和介观导体含有磁性杂质将被研究。该项目有三个部分。第一部分研究磁性杂质对介观金属低温电导的影响。巡游电子与磁性杂质的相互作用引起电子能量和相位的弛豫，从而影响电导。弛豫的速率可以通过使杂质自旋极化的磁场来控制。部分自旋极化对电导的影响将被研究。该项目的第二部分探讨了相互作用的一维电子系统的性质超出了Luttinger液体模型。这种理论的扩展是为了精确描述一些可观察到的现象所必需的。这一部分还考虑了两个弱耦合量子线之间的库仑阻力和在磁场存在下电子隧穿进入量子线。拖曳电阻率的计算需要考虑电子速度对动量的依赖关系;这种依赖关系在Luttinger液体模型中被忽略了。磁场导致电子光谱的塞曼分裂，这导致差分隧穿电导中的有限偏置最大值。为了描述这种效应，还需要扩展Luttinger液体模型。该项目的第三部分探讨了在量子点设备中观察费米液体行为违反的可能性，这种违反是对称多通道近藤问题的特征。这里将考虑不可避免的偏离对称性的作用。特别的重点也将放在寻找方法来检测非费米液体的行为，通过研究电子输运通过这样的设备。这项研究将需要各种凝聚态理论技术，包括图解展开，重整化群理论和近藤效应的费米液体理论，使用精确可解的一维模型和玻色子化技术。这项工作的更广泛影响包括教育和对可能形成未来设备技术基础的知识基础的贡献。这项工作支持学生和博士后研究人员在凝聚态理论和纳米材料的现代方法的教育。该项目涉及新系统和材料（纳米线，量子点，碳纳米管）的基础物理研究，这些都是未来电子技术的潜在元素。该奖项支持介观和纳米级物理学的理论研究和教育。 研究的重点是电子-电子相互作用对低维系统中低能性质的影响以及这些系统的电子输运性质。电子输运量子线（一维），量子点（零维），和含有磁性杂质的介观导体将使用先进的方法在理论凝聚态物理研究。这些材料和纳米结构中的低维性和电子-电子相互作用的组合可以导致与宏观材料显著不同的新电子态。这项工作的更广泛影响包括教育和对可能构成未来设备技术基础的知识基础的贡献。这项工作支持学生和博士后研究人员在凝聚态理论和纳米材料的现代方法的教育。该项目研究新型系统和材料（纳米线，量子点，碳纳米管）的基础物理学，这些系统和材料是未来电子技术的潜在元素。***

0237296GlazmanThis award supports theoretical research and education in the area of mesoscopic physics. Research focuses on the low-energy properties of mesoscopic interacting electron systems and on finding the relations between these properties and the electron transport characteristics of such systems. Electron transport in quantum wires, quantum, and mesoscopic conductors containing magnetic impurities will be studied. The project has three parts. The first part is devoted to the effect of magnetic impurities on the low-temperature conductance of mesoscopic metals. Interaction of itinerant electrons with the magnetic impurities causes relaxation of electron energy and phase, and thus affects the conductance. The rate of relaxation may be controlled by a magnetic field which polarizes impurity spins. The effect of partial spin polarization on the conductance will be studied. The second part of the project explores the properties of interacting one-dimensional electron systems beyond the Luttinger liquid model. This extension of theory is needed for the accurate description of a number of observable phenomena. This part also considers the Coulomb drag between two weakly-coupled quantum wires and electron tunneling into a quantum wire in the presence of a magnetic field. Calculation of the drag resistivity requires accounting for the dependence of electron velocity on momentum; this dependence is left out in the Luttinger liquid model. A magnetic field causes the Zeeman splitting of the electron spectrum, which results in finite-bias maxima in the differential tunneling conductance. To describe this effect, one also needs an extension of the Luttinger liquid model. The third part of the project explores the possibility of observing a violation of the Fermi-liquid behavior in a quantum dot device, a violation that is characteristic of a symmetric multi-channel Kondo problem. Here the role of inevitable deviations from the symmetry will be considered. Special emphasis will be placed also on finding ways to detect the non-Fermi-liquid behavior by studying the electron transport through such a device. This research will require a variety of condensed matter theory techniques, including diagrammatic expansions, renormalization group theory and Fermi liquid theory of the Kondo effect, the use of exactly solvable one-dimensional models, and the bosonization technique.Broader impacts of this work include education and the contribution to a base of knowledge that may form the foundation of future device technologies. This work supports the education of students and post-doctoral research associates in modern methods of condensed matter theory and nanoscale materials. The project involves the study of fundamental physics of novel systems and materials (nano-wires, quantum dots, carbon nanotubes) which are potential elements of future electronic technology. %%%This award supports theoretical research and education in mesocopic and nanoscale physics. Research focuses on the effect of electron-electron interactions on low-energy properties in low dimensional systems and on the electron transport properties of such systems. Electron transport in quantum wires (one-dimensional), quantum dots (zero-dimensional), and mesoscopic conductors containing magnetic impurities will be studied using advanced methods in theoretical condensed matter physics. The combination of low-dimensionality and electron-electron interactions in these materials and nanostructures can lead to novel electronic states that differ remarkably from those of macroscopic materials. Broader impacts of this work include education and the contribution to a base of knowledge that may form the foundation of future device technologies. This work supports the education of students and post-doctoral research associates in modern methods of condensed matter theory and in nanoscale materials. The project studies the fundamental physics of novel systems and materials (nano-wires, quantum dots, carbon nanotubes) which are potential elements of future electronic technology. ***