Generalized Bogolubov-de Gennes theory for nanoscale superconductors

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Deloof, B.^1,2 ; Moshchalkov, V.V.^2 ; Chibotaru, L.F.^1

INPAC-Institute of Nanoscale Physics and Chemistry, Departement of Chemistry, KU Leuven, Celestijnenlaan 200 F, B-3001 Leuven, Belgium^1

INPAC-Institute of Nanoscale Physics and Chemistry, Departement of Physics and Astronomy, KU Leuven, Celestijnenlaan 200 D, B-3001 Leuven, Belgium^2

关键词: Basis sets;    BdG equation;    Coherent function;    Matrix equations;    Nano-scale superconductors;    Order parameter;    Vortex state;    Zeeman energies;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012219/pdf
DOI  :  10.1088/1742-6596/490/1/012219

来源: IOP

【 摘 要 】

The generalized Bogolubov-de Gennes (BdG) theory, including explicitly the Zeeman energy of electrons, is developed for nanoscale superconductors. To this end the system of four BdG equations is derived, corresponding to four coherent functions (instead of two in conventional BdG theory), two for electron-like excitations and two for hole-like excitations. These equations are transformed into matrix equations by using the basis set of particle-in-the-box problem and solved self-consistently with the equation for the order parameter and the chemical potential. The proposed microscopic approach is suitable for the study of unconventional vortex states and the appearance of FFLO phase in thin nanoscale superconductors.