Abstract The armchair metallic and semiconducting toroidal carbon nanotubes (TCNs) coupled with Majorana bound states (MBSs) under the perturbation of microwave fields (MWFs) have been investigated, and the photon-assisted features relating to tunneling current, differential conductance, and shot noise have been evaluated numerically. For the semiconducting TCN system, the photon-induced resonant peaks emerge at the conductance valley around zero-bias voltage, and the semiconducting energy gap can be closed by MBSs and MWFs. For the metallic TCN system, normal tunneling and Andreev reflections cooperate to generate a hybridized zero-bias conductance. The periodic behavior of conductance versus magnetic flux is intimately dependent on the metallic and semiconducting TCN structures. Applying MWFs on the TCN system coupled with MBSs can enhance the shot noise largely compared with the case without MBSs. The Fano factor appears two kinds of triple-peak oscillation structure when MBSs are connected to the semiconducting TCN, and the application of MWFs enhances the maximum value of Fano factor. The shot noise jumps at zero bias, and the steps are smeared by the photon absorption and emission. The Fano factor is enhanced by MBSs, and it increases rapidly to exhibit a giant value around zero bias.

中文翻译：

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与马约拉纳束缚态耦合的环形碳纳米管中的光子辅助介观传输

摘要 研究了在微波场 (MWF) 扰动下与马约拉纳束缚态 (MBS) 耦合的扶手椅金属和半导体环形碳纳米管 (TCN)，以及与隧道电流、微分电导和散粒噪声相关的光子辅助特征。已经进行了数值评估。对于半导体 TCN 系统，光子诱导谐振峰出现在零偏压附近的电导谷处，并且半导体能隙可以通过 MBS 和 MWF 来闭合。对于金属 TCN 系统，法向隧道效应和 Andreev 反射协同作用产生混合零偏置电导。电导对磁通量的周期性行为与金属和半导体 TCN 结构密切相关。与没有 MBS 的情况相比，在 TCN 系统上应用 MWF 并结合 MBS 可以大大增强散粒噪声。当MBSs连接到半导体TCN时，Fano因子出现两种三峰振荡结构，MWFs的应用增强了Fano因子的最大值。散粒噪声在零偏置处跳跃，并且台阶被光子吸收和发射弄脏。Fano 因子被 MBS 增强，并且它迅速增加以在零偏差附近表现出巨大的值。并且台阶被光子吸收和发射弄脏。Fano 因子被 MBS 增强，并且它迅速增加以在零偏差附近表现出巨大的值。并且台阶被光子吸收和发射弄脏。Fano 因子被 MBS 增强，并且它迅速增加以在零偏差附近表现出巨大的值。