论文标题
传输线方法在耗散的手性系统中传输热量
Transmission line approach to transport of heat in chiral systems with dissipation
论文作者
论文摘要
在填充因子$ν= 2 $处的整数量子厅边缘中能量放松的测量表明热电流量化的崩溃[H. Le Sueur等人，物理。莱特牧师。 105，056803]。在流体动力学模型中表明，散发性的中性模式显然小于量子，这可以解释缺失的热通量[A Goremykina等，Arxiv Preprint Arxiv：1908.01213]。这种流体动力模型依赖于引入人造高能截止值，并且缺乏先验获得热通量的正确定义的方法。在这项工作中，我们克服了这些局限性，并提出了形式主义，有效地建模了量子厅边缘的耗散，证明了所有模式的热通量的量化。我们通过类比将QHE映射到传输线上，并使用Langevin方程和散射理论在存在耗散的情况下提取热电流。
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.
