arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1107.4292cond-mat.mes-hallcond-mat.dis-nncond-mat.stat-mechphysics.flu-dyn
收藏

量子霍尔跃迁高温区的图解法

Diagrammatic Approach for the High-Temperature Regime of Quantum Hall Transitions

Martina Flöser, Serge Florens, Thierry Champel

摘要:

我们使用一个一般的图形形式主义的基础上的局部电导率的方法来计算电子输运连续介质中的长程无序,在量子干涉效应的情况下。该方法使我们能够调查的耗散过程和随机漂移的电子轨迹在高温制度的量子霍尔转变的相互作用。我们得到了纵向电导σ_{xx}的标度指数为κ=0.767 \pm 0.002,与经典渗流类比中的κ=10/13一致。我们还导出了σ_{xx}随温度变化的峰值的微观表达式,这有助于从实验中提取κ。

英文摘要:

We use a general diagrammatic formalism based on a local conductivity approach to compute electronic transport in continuous media with long-range disorder, in the absence of quantum interference effects. The method allows us then to investigate the interplay of dissipative processes and random drifting of electronic trajectories in the high-temperature regime of quantum Hall transitions. We obtain that the longitudinal conductance σ_{xx} scales with an exponent κ=0.767\pm0.002 in agreement with the value κ=10/13 conjectured from analogies to classical percolation. We also derive a microscopic expression for the temperature-dependent peak value of σ_{xx}, useful to extract κ from experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑