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arXiv 2203.04797cond-mat.mes-hallcond-mat.str-el
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传输线法求解有耗散的手征系统的热输运

Transmission line approach to transport of heat in chiral systems with dissipation

Florian Stäbler, Eugene Sukhorukov

摘要:

在填充因子为$ν=2$的整数量子霍尔边缘的能量弛豫的测量表明热流量子化的崩溃[H. le Sueur等人,物理修订信函105,056803]。在流体动力学模型中表明,耗散中性模式的贡献明显小于一个量子的热量,这可以解释丢失的热通量[A Goremykina等人,arXiv预印本arXiv:1908.01213]。该流体动力学模型依赖于引入人工高能量截止,并且缺乏先验地获得热通量的正确定义的方式。在这项工作中,我们克服了这些限制,并提出了一种形式主义,有效地模拟耗散的量子霍尔边缘,证明量子化的热通量的所有模式。我们通过类比将QHE映射到传输线,并使用朗之万方程和散射理论来提取存在耗散的热流。

英文摘要:

Measurements of the energy relaxation in the integer quantum hall edge at filling factor $ν=2$ suggest the breakdown of heat current quantization [H. le Sueur et al., Phys. Rev. Lett. 105, 056803]. It was shown, in a hydrodynamic model, that dissipative neutral modes contributing apparently less than a quantum of heat can be an explanation for the missing heat flux [A Goremykina et al., arXiv preprint arXiv:1908.01213]. This hydrodynamic model relies on the introduction of an artificial high-energy cut-off and lacks a way of a priori obtaining the correct definition of the heat flux. In this work we overcome these limitations and present a formalism, effectively modeling dissipation in the quantum hall edge, proving the quantization of heat flux for all modes. We mapped the QHE to a transmission line by analogy and used the Langevin equations and scattering theory to extract the heat current in the presence of dissipation.

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