Hydrodynamic Equations in Quantum Hall Systems at Large Currents
Hydrodynamic Equations in Quantum Hall Systems at Large Currents
复制标题
大电流下量子霍尔系统的流体动力学方程
DOI：
10.1143/jpsj.71.228
复制
发表时间：
2001
影响因子：
1.7
通讯作者：
H. Akera
中科院分区：
文献类型：
--
作者：
H. Akera
导出了描述二维系统在强磁场中的电子温度和化学势的时空演化的流体动力学方程(HDEQs)，在量子霍尔效应击穿时出现大的对角电阻率状态。推导基于微观电子过程，包括缓慢波动势中的漂移运动和由于电子-电子和电子-声子相互作用而引起的散射过程。与通常的HDEQ不同的是，由于磁场中的漂移运动，其中一个HDEQ的项具有垂直于电场的能量通量。作为说明，使用导出的HDEQ计算电流分布。
Hydrodynamic equations (HDEQs) are derived which describe spatio-temporal evolutions of the electron temperature and the chemical potential of two-dimensional systems in strong magnetic fields in states with large diagonal resistivity appearing at the breakdown of the quantum Hall effect. The derivation is based on microscopic electronic processes consisting of drift motions in a slowly-fluctuating potential and scattering processes due to electron-electron and electron-phonon interactions. In contrast with the usual HDEQs, one of the derived HDEQs has a term with an energy flux perpendicular to the electric field due to the drift motions in the magnetic field. As an illustration, the current distribution is calculated using the derived HDEQs.