Study of Inhomogeneous State of Two-Dimensional Electron Quantum Liquid

本文将从理论上研究该体系的性质， 长程电子作用下的二维电子液体 disorder. 这种类型的疾病通常是在 具有大间隔物宽度的异质结构 远距离杂质离子。 二维电子屏蔽 液体有效地与合成的随机势竞争。 然而，在某些情况下，这种筛选是无效的，这两个- 三维电子液体变得非常不均匀。 中 强磁场这种状态发生在每次灌装时， 朗道水平的因子对应于整数或 分数间隙 不均匀性的不同表现 状态将被研究：低温行为的 填充因子范围内的电导率张量，其中所有间隙均 被无序破坏;量子霍尔平台的宽度 效应;声表面波衰减;维格纳效应 在长程无序存在下的晶体形成。 %%% 将对介观物理进行理论研究 量子效应在宏观尺度上表现出来的系统。 特别是，将研究紊乱对 形成的二维电子液体的性质 在半导体之间的连接处。

Theoretical research will be conducted on the properties of the two-dimensional electron liquid in the presence of long-range disorder. This type of disorder is usually created in heterostructures with large spacer width by randomly distributed remote impurity ions. Screening by the two-dimensional electron liquid competes effectively with the resultant random potential. However, in some cases this screening is not effective and the two- dimensional electron liquid becomes very inhomogeneous. In a strong magnetic field this state occurs each time the filling factor of the Landau level corresponds to an integer or a fractional gap. Different manifestations of the inhomogeneous state will be studied: the low temperature behavior of the conductivity tensor in the filling factor range where all gaps are destroyed by disorder; the width of the plateau of the quantum Hall effect; the attenuation of the surface acoustic waves; the Wigner crystal formation in the presence of the long range disorder. %%% Theoretical studies will be made on the physics of mesoscopic systems where quantum effects are manifest on a macroscopic scale. In particular, studies will be made on the effects of disorder on the properties of the two-dimensional electron liquid which forms at junctions between semiconductors.