Abstract
We study superconducting states in the presence of spin-orbital coupling and Zeeman field. It is found that a phase transition from a Fulde-Ferrell-Larkin-Ovchinnikov state to the topological superconducting state occurs upon increasing the spin-orbital coupling. The nature of this topological phase transition and its critical property are investigated numerically. Physical properties of the topological superconducting phase are also explored. Moreover, the local density of states is calculated, through which the topological feature may be tested experimentally.
Highlights
We study superconducting states in the presence of spin-orbital coupling and Zeeman field
It is found that a phase transition from a Fulde-Ferrell-Larkin-Ovchinnikov state to the topological superconducting state occurs upon increasing the spin-orbital coupling
We study the local density of states (LDOS) to compare with the experiments
Summary
Ð1Þ z i Diy{i is2y{i zh:c: , with yi 5 (yi", yi#)T, where sn are the identity (n 5 0) and Pauli matrix (n 5 1, 2, 3), respectively. l is the spin-orbital coupling strength and h represents an effective Zeeman field. For the stronger spin orbital coupling strength l 5 0.5, an obvious boundary effect occurs only within the ten lattice constants away from the edge [Fig. 1(c)]. For a larger spin-orbital strength, the oscillation behavior disappears and the order parameter recovers to the bulk value within several lattice-constants away from the boundary. Strength increases further, the oscillation disappears and the two MFs are located near the boundaries These results may be verified by experiments and may be useful when exploring the application of MFs in the topological quantum computation. The numerical results for LDOS may establish a useful link for theoretical calculations and experimental observations
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