Physics of Strong Disorder and Correlation

在这一续期拨款中，理论研究将集中在电子系统中强无序和关联的影响。关于分数量子化的霍尔态，特别是在受限几何中，已经得到了新的结果。计算了隧穿测量中出现的重叠因子，并探讨了半填充状态下费米液态的可能存在。这项新的工作将在过去工作的基础上，进一步研究分数量子化霍尔区中边缘信道的性质和Aharonov-Bohm效应。将对分数量子化霍尔态的基本性质进行理论研究，分数量子化霍尔态是一种由二维电子气表现出的新物质状态。这种特殊的物质状态通常是在强磁场中的半导体界面处获得的。我们将研究电子之间的强无序和关联效应。在为基本凝聚态物理学做出贡献的同时，这项工作在微电子学领域可能会产生更广泛的影响。

In this renewal grant theoretical research will focus on the effects of strong disorder and correlation in electron systems. New results have been obtained for the fractional quantized Hall state, particularly in confined geometry. The overlap factor which appears in tunnelling measurements has been calculated and the possible existence of a Fermi liquid state at half filling has been explored. The new work will build on this past work to further study the properties of edge channels and the Aharonov-Bohm effect in the fractional quantized Hall regime. %%% Theoretical research will be done on the fundamental properties of the fractional quantized Hall state - a new state of matter exhibited by two-dimensional electron gases. This special state of matter is usually obtained at semiconductor interfaces in strong magnetic fields. The effects of strong disorder and correlation among the electrons will be studied. While contributing to basic condensed matter physics, there may be wider ramifications of this work in microelectronics.