Quantum Hall Conductivity and the Electronic States in Cylinder Geometry with Finite Width
Quantum Hall Conductivity and the Electronic States in Cylinder Geometry with Finite Width
复制标题
量子霍尔电导率和有限宽度圆柱几何中的电子态
DOI：
10.1143/jpsj.58.956
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发表时间：
1989
影响因子：
1.7
通讯作者：
Y. Ono
中科院分区：
文献类型：
--
作者：
T. Ohtsuki;Y. Ono
数值分析了有限宽圆柱表面的二维电子态和量子霍尔电导率。引入了一个参数θ来表征y方向上的广义边界条件.对于每个θ，最低朗道子带所涉及的态ν上的质心x分量x νν（θ）之和满足求和规则，并且对随机性是稳定的.通过对θ的不同解释，x νν（θ）的数值数据可用于讨论两种不同情况下的霍尔电导率。一种是在y方向上具有有限周期Ly的无限长条系统; θ是这种情况下的广义布洛赫动量。另一种是真实的圆柱，Aharonov-Bohm通量沿着轴穿过圆柱，其中θ表示通量。在后一种情况下，我们可以讨论霍尔电导率相对于通量的波动。
The two-dimensional electronic states and the quantum Hall conductivity on the cylinder surface with finite width are analyzed numerically. A parameter θ characterizing the generalized boundary condition in the y -direction is introduced. For each θ the sum of the x -component of the center of mass x νν (θ) over the states ν involved in the lowest Landau subband is shown to satisfy a sum rule and to be stable against randomness. Through different interpretations of θ, the numerical data for x νν (θ) can be used to discuss the Hall conductivity in two different cases. One is an infinitely long strip system with finite periodicity L y in the y -direction; θ is the generalized Bloch momentum in this case. The other is a real cylinder with the Aharonov-Bohm flux penetrating the cylinder along the axis, where θ represents the flux. In the latter case we can discuss the fluctuation of the Hall conductivity with respect to the flux.
影响因子：
8.6
作者：
ABRAHAMS, E;ANDERSON, PW;RAMAKRISHNAN, TV
通讯作者：
RAMAKRISHNAN, TV