论文标题
整数量子厅过渡的双重表示的数值研究
Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
论文作者
论文摘要
我们研究了“双重”复合效力（CF）表示中非相互作用整数量子厅与绝缘体转变（IQHIT）的临界特性。 CF表示比电子坐标的关键优势是，在关键时期，$ \ textIt {cf状态完全被定位} $ endergies。因此，CF方法使我们能够研究从新的有利位置的过渡。使用CF平均场理论的晶格表示，我们计算了IQHIT的关键和多重分量指数。我们获得了$ν= 2.56 \ pm 0.02 $和$η= 0.51 \ pm 0.01 $，这两者都与电子表示中提出的粉笔 - 柯丁顿网络模型的预测一致。
We study the critical properties of the non-interacting integer quantum Hall to insulator transition (IQHIT) in a "dual" composite-fermion (CF) representation. A key advantage of the CF representation over electron coordinates is that at criticality, $\textit{CF states are delocalized at all}$ energies. The CF approach thus enables us to study the transition from a new vantage point. Using a lattice representation of CF mean-field theory, we compute the critical and multifractal exponents of the IQHIT. We obtain $ν= 2.56 \pm 0.02$ and $η= 0.51\pm 0.01$, both of which are consistent with the predictions of the Chalker-Coddington network model formulated in the electron representation.
