scholarly journals Zeeman-field-induced nontrivial topology in a spin-orbit-coupled superconductor

2014 ◽  
Vol 90 (14) ◽  
Author(s):  
Aaron Farrell ◽  
T. Pereg-Barnea
Keyword(s):  
Spin Orbit ◽  
Zeeman Field ◽  
Nontrivial Topology

scholarly journals Topological metals and finite-momentum superconductors

2021 ◽  
Vol 118 (3) ◽  
pp. e2019063118
Author(s):  
Noah F. Q. Yuan ◽  
Liang Fu
Keyword(s):  
Cooper Pair ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Two Dimensional ◽  
Discontinuous Change ◽  
Zeeman Field ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
2D Superconductors

We show that the Zeeman field can induce a topological transition in two-dimensional spin–orbit-coupled metals and, concomitantly, a first-order phase transition in the superconducting state involving a discontinuous change of Cooper pair momentum. Depending on the spin–orbit coupling strength, we find different phase diagrams of two-dimensional (2D) superconductors under in-plane magnetic field.

Fidelity susceptibility in multiband one-dimensional topological superconducting system

2015 ◽  
Vol 29 (25n26) ◽  
pp. 1542034
Author(s):  
Wen-Chuan Tian ◽  
Zhi Wang ◽  
Dao-Xin Yao
Keyword(s):  
Phase Transition ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Topological Properties ◽  
Zero Energy ◽  
One Dimensional ◽  
Pure System ◽  
Zeeman Field ◽  
Disorder Effects ◽  
Topological Quantum

We use the fidelity susceptibility to study the topological properties of multi-layer nanowire system, with intrinsic spin–orbit coupling and proximity induced superconductivity. We introduce a Hamiltonian of three layer lattice chain to model the system, and consider the effects of applied Zeeman field. In pure system, we find a peak in fidelity susceptibility, which signals the topological quantum phase transition (TQPT) in the system. We then study the disorder effects in our model and find more peaks in fidelity susceptibility. We reveal that these peaks provide information on the zero energy Majorana states of the system, which appear after the TQPT.

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