Theory of the Fractional Quantum Hall Effect

分数量子霍尔效应理论

• 批准号: 9020637
• 负责人: Jainendra Jain
• 金额: $ 14.6万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-02-15 至 1994-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9020637&HistoricalAwards=false
• 关键词: Theory; Fractional; Quantum; Hall; Effect

Theoretical investigations of the fractional quantum Hall effect will be undertaken using a unified scheme for understanding the integer and fractional quantum Hall effects and allowing for a straightforward and intuitive understanding of the latter. This scheme provides simple trial wave functions describing the highly correlated incompressible fractional quantum Hall effect. Extensive tests of the validity of these trial wave functions will be conducted and calculations of experimental quantities will be done. For the fractional quantum Hall effect, the nature of the edge states will be studied and the utility of a general Ginzburg- Landau theory will be investigated.

分数量子霍尔效应的理论研究 将使用统一的方案进行理解， 整数和分数量子霍尔效应，并允许 对后者的直观理解。 这 方案提供了简单的试验波函数， 相关不可压缩分数量子霍尔效应 这些试验波函数的有效性的广泛测试将 将进行实验量的计算， 完了 对于分数量子霍尔效应， 边缘状态将被研究和一般金斯堡的效用- 朗道理论将被研究。