标题： 二维电子系统在强平面电场和垂直磁场下的态密度 显示英文标题

标题： Local density of states of two-dimensional electron systems under strong in-plane electric and perpendicular magnetic fields

摘要： 我们计算了在强交叉磁场和电场作用下的二维电子系统的局域态密度。 我们假设一个强垂直磁场，在没有面内电场和碰撞展宽效应的情况下，会导致朗道能级量子化和众所周知的奇异朗道态密度。 单向面内电场会导致朗道态密度的δ函数奇异性展宽。 这会导致位置依赖的有限高度和宽度的峰，这些峰可以用能量本征函数来表示。 随着电场强度的增加，这些峰会变得更宽，并可能最终重叠，这表明如果考虑电子杂质散射，则标志着朗道能级间散射的开始。 我们给出了两个简单模型的解析结果，并讨论了它们对于整数量子霍尔效应破坏的可能相关性。 此外，我们考虑了一个更现实的模型，即不可压缩条纹分离两个可压缩区域，在该模型中，几乎完美的屏蔽将相邻的朗道能级固定到电化学势。 我们还讨论了施加电流对条纹区域局域态密度的影响。 显示英文摘要

摘要： We calculate the local density of states of a two-dimensional electron system under strong crossed magnetic and electric fields. We assume a strong perpendicular magnetic field which, in the absence of in-plane electric fields and collision broadening effects, leads to Landau quantization and the well-known singular Landau density of states. Unidirectional in-plane electric fields lead to a broadening of the delta-function-singularities of the Landau density of states. This results in position-dependent peaks of finite height and width, which can be expressed in terms of the energy eigenfunctions. These peaks become wider with increasing strength of the electric field and may eventually overlap, which indicates the onset of inter-Landau-level scattering, if electron-impurity scattering is considered. We present analytical results for two simple models and discuss their possible relevance for the breakdown of the integer quantized Hall effect. In addition, we consider a more realistic model for an incompressible stripe separating two compressible regions, in which nearly perfect screening pins adjacent Landau levels to the electrochemical potential. We also discuss the effect of an imposed current on the local density of states in the stripe region.