论文标题
平衡漂移扩散系统中热量的非本地运输
Nonlocal Transport of Heat in Equilibrium Drift-Diffusion Systems
论文作者
论文摘要
整数量子霍尔边缘状态可以以平衡量的热量在热通量量子的通用单元中进行量化，$ j_q = \ frac {πk_b^2} {12 \ hbar} t^2 $每个边缘状态。我们会提出一个问题，即在现实的一维设备中如何与通常的手性Luttinger液体理论有所不同。我们表明，尽管全球均衡情况，但局部测量可以揭示边缘状态携带的非量化热量。更具体地说，我们报告在存在非本地相互作用或手性破坏扩散电流的情况下与欧姆储层相互作用的边缘状态的热量增强效应。与非平衡的非线性阻力效应相反，我们报告了平衡，线性现象。边缘状态的手性在储层之间产生了额外的相关性，反映在手性通道中高于量子的热通量中。我们表明，对于不同类型的耦合，增强功能可以理解为手性通道上储层的静态或动态背相。我们表明，我们的结果是通过通过节能的介质电容器代替耗散欧姆的储层来定性上保持的，并考虑了不同类型的相互作用的各自的传输线。
The amount of heat an integer quantum Hall edge state can carry in equilibrium is quantized in universal units of the heat flux quantum $J_q= \frac{πk_B^2}{12 \hbar}T^2$ per edge state. We adress the question of how heat transport in realistic one dimensional devices can differ from the usual chiral Luttinger liquid theory. We show that a local measurement can reveal a nonquantized amount of heat carried by the edge states, despite a globally equilibrium situation. More specifically, we report a heat enhancement effect in edge states interacting with ohmic reservoirs in the presence of nonlocal interactions or chirality breaking diffusive currents. In contrast to a nonequilibrium, nonlinear drag effect, we report an equilibrium, linear phenomenon. The chirality of the edge states creates additional correlations between the reservoirs, reflected in a higher than quantum heat flux in the chiral channel. We show that for different types of coupling the enhancement can be understood as static or dynamical backaction of the reservoirs on the chiral channel. We show that our results qualitatively hold by replacing the dissipative ohmic reservoirs by an energy conserving mesoscopic capacitor and consider the respective transmission lines for different types of interaction.
