Aharonov-Bohm effect for the quantum Hall conductivity on a disordered lattice.
Aharonov-Bohm effect for the quantum Hall conductivity on a disordered lattice.
复制标题
无序晶格上量子霍尔电导率的阿哈罗诺夫-玻姆效应。
DOI：
10.1103/physrevlett.55.1136
复制
发表时间：
1985
影响因子：
8.6
通讯作者：
Aoki
中科院分区：
文献类型：
--
作者：
Aoki
The Hall conductivity (${\ensuremath{\sigma}}_{\mathrm{xy}}$) on a lattice with disorder has been calculated in torus geometry to test the quantum Hall effect for finite magnetic fields $H$. It is shown that the quantum Hall effect persists independent of degree of disorder even away from the quantum ($H\ensuremath{\rightarrow}\ensuremath{\infty}$) limit, and that the Hall effect characteristic of periodic systems is not destroyed by disorder. The value of ${\ensuremath{\sigma}}_{\mathrm{xy}}$ for finite systems has a deviation from quantization, which depends on the Aharonov-Bohm flux $\ensuremath{\Phi}$ and disappears as the size is increased.
The Hall conductivity (${\ensuremath{\sigma}}_{\mathrm{xy}}$) on a lattice with disorder has been calculated in torus geometry to test the quantum Hall effect for finite magnetic fields $H$. It is shown that the quantum Hall effect persists independent of degree of disorder even away from the quantum ($H\ensuremath{\rightarrow}\ensuremath{\infty}$) limit, and that the Hall effect characteristic of periodic systems is not destroyed by disorder. The value of ${\ensuremath{\sigma}}_{\mathrm{xy}}$ for finite systems has a deviation from quantization, which depends on the Aharonov-Bohm flux $\ensuremath{\Phi}$ and disappears as the size is increased.