论文标题
电子孔双层中的量子自旋效应和自发的时间反转对称性破坏II：零场拓扑超导性
Interplay of quantum spin Hall effect and spontaneous time-reversal symmetry breaking in electron-hole bilayers II: Zero-field topological superconductivity
论文作者
论文摘要
已经提出，带反向的电子孔双层支持从绝缘阶段的相变，其自发损坏的时间反转对称性是量子旋转霍尔绝缘子相，这是电子和孔密度增加的函数。在这里，我们表明，在存在近端诱导的超导性的情况下，在没有磁场的情况下，可以在时间反转对称性相中实现Majorana零模式。在存在时间反转对称性分解顺序参数的情况下，我们为系统开发了有效的低能理论，以在分析上获得Majorana零模式，并且在数值和分析结果之间在较弱的时间逆转逆转对称性的极限中找到了良好的一致性。我们表明，可以通过衡量$4π$ josephson电流的尺寸，可以在超导体/时间反向对称性损坏的绝缘子/超导体约瑟夫森连接中检测到Majorana零模式。最后，我们证明了Majorana融合规则检测是可行的，它可以利用自发时间反转对称性断裂顺序参数的栅极电压依赖性。
It has been proposed that band-inverted electron-hole bilayers support a phase transition from an insulating phase with spontaneously broken time-reversal symmetry to a quantum spin Hall insulator phase as a function of increasing electron and hole densities. Here, we show that in the presence of proximity-induced superconductivity it is possible to realize Majorana zero modes in the time-reversal symmetry broken phase in the absence of magnetic field. We develop an effective low-energy theory for the system in the presence of time-reversal symmetry breaking order parameter to obtain analytically the Majorana zero modes and we find a good agreement between the numerical and analytical results in the limit of weakly broken time-reversal symmetry. We show that the Majorana zero modes can be detected in superconductor/time-reversal symmetry broken insulator/superconductor Josephson junctions through the measurement of a $4π$ Josephson current. Finally, we demonstrate that the Majorana fusion-rule detection is feasible by utilizing the gate voltage dependence of the spontaneous time-reversal symmetry breaking order parameter.
