论文标题
最小的Zeeman野外要求超导体的拓扑过渡
Minimal Zeeman field requirement for a topological transition in superconductors
论文作者
论文摘要
用于创建Majorana准颗粒的平台依赖于超导性和时间反向对称性的破坏。通过研究对已知琐事状态的持续变形，我们发现超导配对与时间逆转之间的关系对系统拓扑构成了严格的界限。将这些边界应用于带有Zeeman字段的$ S $波系统，我们得出的结论是，拓扑相过渡要求Zeeman Energy至少在本地超过了全汉密尔顿的能量差距。我们的结果与系统的几何形状和维度无关。
Platforms for creating Majorana quasiparticles rely on superconductivity and breaking of time-reversal symmetry. By studying continuous deformations to known trivial states, we find that the relationship between superconducting pairing and time reversal breaking imposes rigorous bounds on the topology of the system. Applying these bounds to $s$-wave systems with a Zeeman field, we conclude that a topological phase transition requires that the Zeeman energy at least locally exceed the superconducting pairing by the energy gap of the full Hamiltonian. Our results are independent of the geometry and dimensionality of the system.
