摘要
低维介观系统中，当存在垂直方向磁场时，磁边缘态的形成、存在和其固有的特性对系统的量子相干输运过程起着至关重要的作用。本文通过求解相关的单电子的薛定谔方程，来演示准一维量子线中磁边缘态的形成，讨论磁边缘态波函数的一般性质和规范变换及坐标旋转变换下边缘态的变换形式。简单介绍耦合平行双量子线的磁致输运特性，此时色散关系中出现能级交叉、劈裂、和振荡结构，并导致方波型振荡的磁电导谱。最后，简单介绍一维和有限宽度的介观环中持续电流和色散关系。
AbstractQuantum coherent transport properties of low dimensional mesoscopic systems in perpendicular magnetic fields are closely related to the formation, existance and characteristics of the magnetic edge states. In this paper we exhibit formation of magnetic edge states in quasionedimensional quantum wires with solutions of a single electron Schrdinger equation. Magnetic edge states and their properties under gauge transformation and rotation are discussed. Magnetic coherent transport in two coupled parallel quantum wires is introduced. Anticrossing, splitting, and oscillasion in the dispersion relations display and result in squarewaveshaped magnetoconductance spectra. At last, we introduce persistent currents and energy dispersions in onedimensional and quasionedimensional mesoscopic rings.
出处
《物理学进展》
CSCD
北大核心
1998年第2期117-138,共22页
Progress In Physics
