Integer Quantum Hall Effect in the Presence of Elastic Backscattering of Electrons

电子弹性背散射存在下的整数量子霍尔效应

• 批准号: 01460029
• 负责人: KOMIYAMA Susumu
• 金额: $ 2.82万
• 依托单位: University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1989
• 资助国家: 日本
• 起止时间: 1989 至 1991
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-01460029/
• 关键词: Edge States; Nonequilibrium Population; Quantum Hall Effects; Nonlocal Transport; 整数量子ホ-ル効果; 位相干渉長; メソスコピック系

A nonequilibrium population of electrons in edge states, discovered by our group three years ago, motivated the present research project. Since the discovery, a novel view of integral quantum Hall effects emerged to initiate remarkable developments both in theoretical understanding and in experimental achievements of integral quantum Hall effects. The present research project has made substantial contribution on each stage of the rapid and explosive growth of the research field. The achievements are summarized below :1) Discovery of remarkable deviation of quantized Hall resistance due to nonequilibrium electron distribution.2) Understanding and its general formulation of the role played by electrical contacts -when producing and detecting nonequilibrium electron distribution.3) Quantitative analysis of the effects of contacts in the precision measurements of integral quantum Hall effects.4) Analysis of inter-edge-state electron scattering and the understanding of its dependence on temperature.5) Analysis of nonlinear transport effects associated with the nonequilibrium population : Particularly, a prediction of inverted electron population in edge states.6) Proposal of a general model of conductors that treats nonequilibrium population in standard Hall-bar samples, and the quantitative explanation of experimental results by the model.7) Proposal of a possible experiments to determine phasecoherence length in a regime of integer quantum Hall effects.To summarize, the present research project has achieved remarkably improved understanding of the transport properties in two dimensional electron gas at high magnetic fields.

三年前，我们的研究小组发现了边缘态的非平衡电子布居，激发了本研究项目。自发现以来，积分量子霍尔效应的新观点出现，在理论理解和实验成就方面都取得了显着的发展。目前的研究项目在该研究领域快速和爆炸性增长的每个阶段都做出了实质性贡献。主要成果如下：1）发现了非平衡电子分布引起的量子化霍尔电阻的显著偏差; 2）对电接触在产生和检测非平衡电子分布时所起作用的理解和一般表述; 3）定量分析了接触在积分量子霍尔效应精确测量中的作用; 4）分析了边缘态间电子散射及其对温度的依赖关系; 5）分析了与非平衡布居相关的非线性输运效应：6）提出了一个处理标准霍尔棒样品中非平衡布居的导体一般模型，以及模型对实验结果的定量解释。提出了一个可能的实验，以确定相位相干长度在一个制度的整数量子霍尔效应。总结，本研究项目对强磁场下二维电子气的输运性质有了显著的改进。

项目成果

S.Komiyama: "Onset of Inter-Edge-State Relaxation due to Spontaneous Phonon Emission" Proc.20th Int.Conf.Physics of Semiconductor,Thessaloniki (Eds.E.M.Anastassakis and J.D.Joannopoulos,World Scientific. 2. 1150-1154 (1990)

S.Komiyama：“由于自发声子发射导致边缘态弛豫的开始”Proc.20th Int.Conf.Physics of Semiconductor，塞萨洛尼基（Eds.E.M.Anastassakis 和 J.D.Joannopoulos，World Scientific.2.1150-1154（1990 年）

S.Komiyama: "NonーEquilibrium Population of Edge State and a Role of Contacts in the Quantum Hall Regime" Surface Science. 229. 224-228 (1990)

S.Komiyama：“边缘态的非平衡布居和量子霍尔体系中接触的作用”表面科学 229. 224-228 (1990)。

S.Komiyama: "Influence of Xisordered Contacts on the FourーTerminal Measurements of Intergral Quantum Hall Effects" Solid State Commun.73. 91-95 (1990)

S.Komiyama：“七序接触对积分量子霍尔效应四端测量的影响”Solid State Commun.73 (1990)。

S.Komiyama,H.Hirai,S.Sasa and S.Hiyamizu: "Violation of the Integral Quantum Hall Effect:Influenceof Back Scattering and A Role of Voltage Contacts" Phys.Rev.B40. 12566-12569 (1989)

S.Komiyama、H.Hirai、S.Sasa 和 S.Hiyamizu：“违反积分量子霍尔效应：背向散射的影响和电压接触的作用”Phys.Rev.B40。

S. Komiyama: "Onset of Inter-Edge-State Relaxation due to Spontaneous Phonon Emission" Proc. 20th Int. Conf. Physics of Semiconductor Thessaloniki. 2. 1150-1154 (1990)

S. Komiyama：“自发声子发射导致边缘态弛豫的开始”Proc。