Statistical Mechanics of Low-Dimensional Systems

低维系统的统计力学

• 批准号: 9120282
• 负责人: Eberhard Riedel
• 金额: $ 29.4万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-01-01 至 1995-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9120282&HistoricalAwards=false
• 关键词: Statistical; Mechanics; Low; Dimensional; Systems

Analytical and numerical research will be undertaken on quantum coherence, charge fluctuation and transport phenomena in mesoscopic structures. The initial focus of this research will be on a comprehensive theory of mesoscopic persistent currents in isolated rings, macroscopic quantum tunneling in ultranarrow wires, and related static and dynamic mesoscopic phenomena. The goal of this work is the elucidation of the unusual quantum coherence and statistical mechanical effects that occur in the electronic, thermal and mechanical properties of submicrometer-sized structures. Crossover phenomena that occur in nanometer-scale superconducting rings and wires will also be studies. %%% Mesoscopic physics occurs at the boundary between the classical and quantum regimes. For instance, as the size of an electronic device decreases, a region will be reached where the classical or semi- classical description which modeled the behavior of the device will no longer apply. Quantum effects come into play. Clearly, an understanding of these effects has an important impact on solid state electronics as the size of devices continues to decrease. On the other hand, these mesoscopic effects reveal fundamental properties of condensed matter systems and can themselves be used as bases for devices.

将对介观结构中的量子相干性、电荷波动和输运现象进行分析和数值研究。 这项研究的最初重点将是孤立环中的介观持续电流、超窄线中的宏观量子隧道以及相关的静态和动态介观现象的综合理论。 这项工作的目标是阐明亚微米尺寸结构的电子、热和机械特性中出现的不寻常的量子相干性和统计机械效应。 纳米级超导环和线中发生的交叉现象也将被研究。 %%% 介观物理发生在经典体系和量子体系之间的边界。 例如，随着电子设备尺寸的减小，将达到一个区域，在该区域中，模拟设备行为的经典或半经典描述将不再适用。 量子效应开始发挥作用。 显然，随着器件尺寸的不断减小，了解这些效应对固态电子器件具有重要影响。 另一方面，这些介观效应揭示了凝聚态物质系统的基本特性，并且本身可以用作设备的基础。