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arXiv 2406.08910cond-mat.mes-hallcond-mat.str-el
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热库仑阻塞区域中量子霍尔边缘的势与温度涨落对电荷和热输运的影响

Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime

Christian Spånslätt, Florian Stäbler, Eugene V. Sukhorukov, Janine Splettstoesser

AI总结:

本文研究量子霍尔边缘通道与浮动欧姆接触强耦合时势与温度涨落对电荷和热输运的影响,揭示电荷电容在热库仑阻塞区域显著增加能量弛豫时间,并发现有限热容量使输出电荷统计从高斯变为非高斯。

摘要:

我们对一个介观系统中的电荷和热输运进行了广泛研究,在该系统中,一个或多个量子霍尔边缘通道与一个浮动欧姆接触(OC)强耦合。众所周知,在热库仑阻塞区域(即 OC 使边缘通道达到平衡的能力受到阻碍的状态)中,沿边缘通道从 OC 发出的电荷电流涨落对 OC 电荷电容高度敏感。在这里,我们展示了由有限 OC 电荷容量和热容量引起的势涨落和温度涨落如何影响从 OC 发出的热电流涨落。首先,在假设 OC 热容量为无限大的情况下,我们表明输出热电流噪声强烈依赖于 OC 电荷电容,这源于一维电荷电流与热电流之间的密切关系。当 OC 热容量也为有限时,势涨落与温度涨落的相互作用会影响热输运。具体而言,我们发现电荷电容对热输运的影响表现为热库仑阻塞区域中能量弛豫时间的显著增加。此外,我们给出了一组广泛的输出可观测量的表达式,例如电荷和热的自相关与互相关,作为输入涨落和 OC 涨落的函数,这些表达式取决于电荷弛豫时间和能量弛豫时间相对于涨落频率和逆(局域)温度的关系,以及连接到 OC 的边缘通道数量。最后,我们表明有限的 OC 热容量将输出电荷的全计数统计从高斯型转变为非高斯型。我们的发现为在强耦合电子电路中实验探测和利用热输运的量子特性提供了新的机会。

英文摘要:

We present a broad study of charge and heat transport in a mesoscopic system where one or several quantum Hall edge channels are strongly coupled to a floating Ohmic contact (OC). It is well known that charge-current fluctuations emanating from the OC along the edge channels are highly susceptible to the OC charge capacitance in the heat Coulomb blockade regime (an impeded ability of the OC to equilibrate edge channels). Here, we demonstrate how potential- and temperature fluctuations due to finite OC charge and heat capacities impact the heat-current fluctuations emitted from the OC. First, by assuming an infinite OC heat capacity, we show that the output heat-current noise is strongly dependent on the OC charge capacitance, following from a close relation between one-dimensional charge- and heat currents. When also the OC heat capacity is finite, an interplay of potential- and temperature fluctuations influences the heat transport. Concretely, we find that the effect of the charge capacitance on heat transport manifests in terms of a strongly increased energy relaxation time in the heat Coulomb blockade regime. Furthermore, we find expressions for a broad set of output observables, such as charge and heat auto- and cross correlations, as functions of input and OC fluctuations, depending on the relation between charge and energy relaxation times compared to the frequency of fluctuations and inverse (local) temperatures as well as on the number of edge channels attached to the OC. Finally, we show that a finite OC heat capacity transforms the full counting statistics of the output charge from Gaussian to non-Gaussian. Our findings provide novel opportunities to experimentally probe and harness the quantum nature of heat transport in strongly coupled electron circuits.

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