We investigate, in the non-equilibrium Keldysh frame, a topological resistor–capacitor (RC) circuit consisting of a quantum dot coupled to a Majorana edge mode formed around a chiral topological superconductor. We implement both the adiabatic approximation and the numerical exact calculations to find out the unique non-equilibrium features of the electric response of the dissipative Majorana channel. First, the dependence of the dissipation on the frequency Ω of the ac driving on the dot is found to be greatly different whether the time-dependent dot level crosses the Fermi level or not during the driving. In the latter case, the relaxation resistance R _q, the measure of the dissipation, obeys R _q ∝ Ω² for small frequencies, and in the former case, R _q ∝ Ω^−1/3 diverges as Ω → 0. In the former case, a universal scaling law for the dissipative part of the ac power is observed and attributed to the δ-peak in the dot density of states due to a uncoupled dot Majorana mode at the dot resonance condition. We compare the ac power, current, and the relaxation resistance between Majorana and trivial Dirac channels and clarify the Majorana nature in the dissipation.

我们在非平衡 Keldysh 框架中研究了拓扑电阻器 - 电容器（RC）电路，该电路由耦合到围绕手性拓扑超导体形成的马约拉纳边缘模式的量子点组成。我们实施绝热近似和数值精确计算，以找出耗散马约拉纳通道电响应的独特非平衡特征。首先，发现耗散对交流驱动频率Ω的依赖性在驱动过程中是否与时间相关的点能级与费米能级相交有很大不同。在后一种情况下，弛豫电阻R _q是耗散的度量，遵循R _q ∝ Ω ²对于小频率，在前一种情况下，R _q ∝ Ω ^-1/3发散为 Ω → 0。在前一种情况下，观察到交流功率耗散部分的通用标度律并将其归因于δ峰值由于点共振条件下的非耦合点马约拉纳模式，点密度状态。我们比较了 Majorana 和平凡的 Dirac 通道之间的交流功率、电流和弛豫电阻，并阐明了耗散中的 Majorana 性质。