Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity

Details Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity

2010-07-09

arxiv.org/abs/1007.1609v1

Phys. Rev. Lett. 105, 167006 (2010)

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevLett.105.167006

We propose a highly efficient numerical method to describe inhomogeneous superconductivity by using the kernel polynomial method in order to calculate the Green's functions of a superconductor. Broken translational invariance of any type (impurities, surfaces or magnetic fields) can be easily incorporated. We show that limitations due to system size can be easily circumvented and therefore this method opens the way for the study of scenarios and/or geometries that were unaccessible before. The proposed method is highly efficient and amenable to large scale parallel computation. Although we only use it in the context of superconductivity, it is applicable to other inhomogeneous mean-field theories.

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