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arXiv 0809.1293cond-mat.mes-hall
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量子霍尔线结的AC电导率

AC conductivity of a quantum Hall line junction

Amit Agarwal, Diptiman Sen

摘要:

我们提出了一个微观模型,用于计算有限长的线结的交流电导率的两个计数器或共同传播的单模量子霍尔边缘可能不同的填充分数。考虑了密度-密度相互作用和隧穿电导(σ)的影响,导出了交流电导率随频率(ω)、线结长度和系统其它参数的精确表达式.我们在DC极限(ω \to 0)下重现了Phys.Rev.B78,085430(2008)的结果,并将这些结果推广到相互作用系统。作为ω的函数,如果σ较小,则AC电导率显示出显著的振荡;随着σ增加,振荡变得不那么显著。重整化群分析表明,该系统可能处于金属相或绝缘相,具体取决于相互作用的强度。我们讨论了实验的影响,这在低温下的AC电导率的行为。

英文摘要:

We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of density-density interactions and the tunneling conductance (σ), between the two edges, is considered, and exact expressions are derived for the AC conductivity as a function of the frequency (ω), the length of the line junction and other parameters of the system. We reproduce the results of Phys. Rev. B 78, 085430 (2008) in the DC limit (ω\to 0), and generalize those results for an interacting system. As a function of ω, the AC conductivity shows significant oscillations if σis small; the oscillations become less prominent as σincreases. A renormalization group analysis shows that the system may be in a metallic or an insulating phase depending on the strength of the interactions. We discuss the experimental implications of this for the behavior of the AC conductivity at low temperatures.

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