Local density of states of vortex state in mesoscopic superconductors

We study local density of states (LDOS) of vortex state in mesoscopic square superconductors with Bogoliubov-de Gennes (BdG) equation. We develop one effective numerical method based on the finite element method to self-consistently solve the BdG equation. The LDOS for various vortex states is obtained. Our results about the single vortex show that the LDOS has the particle-hole asymmetry and the results for one- and two-vortex state agree very well with the experimental observation. Besides, we predict the LDOS of multi-vortex states, which is crucial for the further STM/STS experimental study of vortex state in mesoscopic superconducting system.

Research highlights
► We develop one effective numerical method based on the finite element method to self-consistently solve the BdG equation.
► Local density of states of various vortex states in mesoscopic square superconductors are obtained.
► can be s We predict the LDOS of multi-vortex states, which is crucial for the further STM/STS experiments.