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arXiv · 1703.02746

Transport in a disordered $\nu=2/3$ fractional quantum Hall junction

I. V. Protopopov·Yuval Gefen·A. D. Mirlin
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Abstract

Electric and thermal transport properties of a $\nu=2/3$ fractional quantum Hall junction are analyzed. We investigate the evolution of the electric and thermal two-terminal conductances, $G$ and $G^Q$, with system size $L$ and temperature $T$. This is done both for the case of strong interaction between the 1 and 1/ 3 modes (when the low-temperature physics of the interacting segment of the device is controlled by the vicinity of the strong-disorder Kane-Fisher-Polchinski fixed point) and for relatively weak interaction, for which the disorder is irrelevant at $T=0$ in the renormalization-group sense. The transport properties in both cases are similar in several respects. In particular, $G(L)$ is close to 4/3 (in units of $e^2/h$) and $G^Q$ to 2 (in units of $\pi T / 6 \hbar$) for small $L$, independently of the interaction strength. For large $L$ the system is in an incoherent regime, with $G$ given by 2/3 and $G^Q$ showing the Ohmic scaling, $G^Q\propto 1/L$, again for any interaction strength. The hallmark of the strong-disorder fixed point is the emergence of an intermediate range of $L$, in which the electric conductance shows strong mesoscopic fluctuations and the thermal conductance is $G^Q=1$. The analysis is extended also to a device with floating 1/3 mode, as studied in a recent experiment [A. Grivnin et al, Phys. Rev. Lett. 113, 266803 (2014)].

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I. V. Protopopov, Yuval Gefen, A. D. Mirlin. 2017-03-08. Transport in a disordered $\nu=2/3$ fractional quantum Hall junction. https://doi.org/10.1016/j.aop.2017.07.015

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