ITR/AP, Simulations and Modelling of Carbon Nanotubes: A Study ofElectronic Correlations

该奖项是在信息技术研究计划下颁发的。电子设备是信息技术的基础。目前的电子设备都是微型的。这限制了信息传输的切换速度。纳米级系统，包括碳纳米管，在新一代电子器件中具有巨大的潜力，其开关速度将提高1000倍。然而，随着电子器件的尺寸和维度接近纳米尺度，相关和无序的影响变得至关重要。尽管它们很重要，但相关性和无序的影响仍然是物理学界面临的一个重大的根本性挑战。将开发一种新的计算方法来解决这个问题。无序和相关性的影响目前正在碳纳米管中进行实验研究。这些纳米管形成了迄今为止最小直径的准一维导体。在纳米管中由相关引起的丰富现象包括在单壁纳米管中观察到的Luttinger液体幂律输运，以及最近观察到的绳索中的超导性。在金属管中测量的大范围电导率中可以看到无序的作用。动态聚类近似（DCA）将进一步发展，以模拟碳纳米管的模型。这种新技术消除了在一维系统中可能特别大的有限尺寸误差；允许研究管间耦合，以及对管环境的耦合；并且，当与最大熵法相结合时，可以研究这些系统的动态响应。该项目的主要目标包括开发一套计算工具集来研究强相关纳米管，因此，开发对单壁纳米管双链模型中温度依赖特性的理解；无序与相关性之间的竞争；双链模型中的超导性及管间耦合的作用以及远距离库仑力的影响。该奖项是在信息技术研究倡议下颁发的。电子设备是信息技术的基础。目前的电子设备都是微型的。这限制了信息传输的切换速度。纳米级系统，包括碳纳米管，在新一代电子器件中具有巨大的潜力，其开关速度将提高1000倍。然而，随着电子器件的尺寸和维度接近纳米尺度，相关和无序的影响变得至关重要。尽管它们很重要，但相关性和无序的影响仍然是物理学界面临的一个重大的根本性挑战。将开发一种新的计算方法来解决这个问题。该项目的主要目标包括开发一套计算工具集来研究强相关纳米管，因此，开发对单壁纳米管双链模型中温度依赖特性的理解；无序与相关性之间的竞争；双链模型中的超导性及管间耦合的作用和远程库仑力的影响

This award is made under the Information Technology Research initiative. Electronic devices are the underpinning of information technology. Present electronic devices are microscale in size. This limits the switching speed at which information can transfer. Nanoscale systems, including carbon nanotubes, have a great potential for a new generation of electronic devices with switching speeds a thousand times faster. However, as the size and dimensionality of electronic devices approach the nanoscale, the effect of correlations and disorder become crucial. Despite their importance, the effects of correlations and disorder remain a significant fundamental challenge to the physics community. A new computational approach will be developed to address this problem.The effects of disorder and correlations are now being studied experimentally in carbon nanotubes. These nanotubes form the smallest diameter quasi-one-dimensional conductors yet produced. The rich phenomena which arise from correlations in nanotubes include Luttinger liquid power law transport observed in single-wall nanotubes, and the recently observed superconductivity in ropes. The role of disorder is seen in the wide range of conductivities measured in metallic tubes.The dynamical cluster approximation (DCA) will be further developed to simulate models of carbon nanotubes. This new technique eliminates the finite-sized errors which can be especially large in one-dimensional systems; allows for the study of intertube coupling, as well as coupling to the tube environment; and, when combined with the Maximum Entropy Method, enables the study of the dynamical response of these systems.Key objectives of the project include the development of a computational tool set to study strongly correlated nanotubes and, as a consequence, develop an understanding of the temperture dependent properties in the two-chain model of a single-walled nanotube; the competition between disorder and correlations; the superconductivity in the two-chain modle and the role of intertube coupling; and the effect of long-range Coulomb forces.%%%This award is made under the Information Technology Research initiative. Electronic devices are the underpinning of information technology. Present electronic devices are microscale in size. This limits the switching speed at which information can transfer. Nanoscale systems, including carbon nanotubes, have a great potential for a new generation of electronic devices with switching speeds a thousand times faster. However, as the size and dimensionality of electronic devices approach the nanoscale, the effect of correlations and disorder become crucial. Despite their importance, the effects of correlations and disorder remain a significant fundamental challenge to the physics community. A new computational approach will be developed to address this problem.Key objectives of the project include the development of a computational tool set to study strongly correlated nanotubes and, as a consequence, develop an understanding of the temperture dependent properties in the two-chain model of a single-walled nanotube; the competition between disorder and correlations; the superconductivity in the two-chain modle and the role of intertube coupling; and the effect of long-range Coulomb forces.***