A quantum theory for the excitation spectrum of a rectangular Andreev billiard

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Ortiz, J. S. Espinoza^1 ; Lagos, R.E.^2 ; Belich, H.^3 ; Amorim, L.S.^3 ; Eleutério, F.H.S.^3 ; Orlando, M.T.D.^3

Departamento de Física, Universidade Federal de Goiás, Catalão, Goiás

75704/020, Brazil^1

Departamento de Física, IGCE, UNESP, Rio Claro, São Paulo

13500/970, Brazil^2

Depto de Físicae Química, Universidade Federal Do Espírito Santo, ES 29060/900, Brazil^3

关键词: Bogoliubov-de Gennes equations;    Density of state;    Effective mass;    Excitation spectrum;    Fermi wave number;    Rectangular conductors;    Semiclassical limit;    Tunnel barrier;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012044/pdf
DOI  :  10.1088/1742-6596/574/1/012044

来源: IOP

【 摘 要 】

We consider a N-S box system consisting of a rectangular conductor coupled to a superconductor. The Green functions are constructed by solving the Bogoliubov-de Gennes equations at each side of the interface, with the pairing potential described by a step-like function. Taking into account the mismatch in the Fermi wave number and the effective masses of the normal metal-superconductor and the tunnel barrier at the interface, we use the quantum section method in order to find the exact energy Green function yielding accurate computed eigenvalues and the density of states. Furthermore, this procedure allow us to analyze in detail the nontrivial semiclassical limit and examine the range of applicability of the Bohr-Sommerfeld quantization method.