论文标题
介镜电导的波动和无序的主要电线中的噪声
Mesoscopic conductance fluctuations and noise in disordered Majorana wires
论文作者
论文摘要
具有损坏的时间逆转和自旋旋转对称性的超导电线可以在相边界处表现出两个不同的拓扑间隔相位，并在相边界处表现出寄托的束缚相位。当将电线调整为这两个阶段之间的过渡和缝隙之间的过渡时，Majorana状态将被定位，从而导致系统的特殊临界状态。我们研究了这种临界状态的运输特性，这是无序多通道电线的长度$ l $的函数。使用两个副本的对称类别的非线性超对称Sigma模型，我们确定了从短线的欧欧姆限制到$ l $的整个范围内的平均电导率，其方差和第三次累积量，到$ L $ L $超过系统相关长度时的广泛电导分布方式。此外，我们计算了任意$ L $的拓扑指数的平均射击噪声功率和差异。本文中开发的一般方法也可以应用于其他对称性线电线中疾病和拓扑的综合作用。
Superconducting wires with broken time-reversal and spin-rotational symmetries can exhibit two distinct topological gapped phases and host bound Majorana states at the phase boundaries. When the wire is tuned to the transition between these two phases and the gap is closed, Majorana states become delocalized leading to a peculiar critical state of the system. We study transport properties of this critical state as a function of the length $L$ of a disordered multichannel wire. Applying a non-linear supersymmetric sigma model of symmetry class D with two replicas, we identify the average conductance, its variance and the third cumulant in the whole range of $L$ from the Ohmic limit of short wires to the regime of a broad conductance distribution when $L$ exceeds the correlation length of the system. In addition, we calculate the average shot noise power and variance of the topological index for arbitrary $L$. The general approach developed in the paper can also be applied to study combined effects of disorder and topology in wires of other symmetries.
