Quantized Energy Spectrum and Modified Andreev Bound States of a Superconductor with Generalized Uncertainty Principle

Ke, Sha-Sha; Yao, Xiuzhong; Lü, Haifeng

doi:10.1007/s00601-015-1023-7

Cited by 3 publications

(3 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To begin with we note that the BdG Hamiltonian in the * (Corresponding Author) Email: orlando.panella@pg.infn.it Andreev approximation is given by [2,3,6]…”

Section: Formalismmentioning

confidence: 99%

“…This equation is also essential in the study of Andreev refelction [3][4][5]. Recently the BdG equation with a linear potential [6] has been studied in the presence of modified uncertainty principle or a minimal length formalism [7,8]. Since its inception the Minimal length formalism [9,10] has been studied in various contexts.…”

Section: Introductionmentioning

confidence: 99%

“…In ref. [6] it was shown that in the BdG equation bound states do not exist in the absence of minimal length (maximal momentum) while in the presence of minimal length (maximal momentum) bound states do exist with energy depending on the relevant parameter introduced by the model.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Solutions of the Bogoliubov–de Gennes equation with position dependent Fermi-velocity and gap profiles

2017

View full text Add to dashboard Cite

It is shown that bound state solutions of the one dimensional Bogoliubov-de Gennes (BdG) equation may exist when the Fermi velocity becomes dependent on the space coordinate. The existence of bound states in continuum (BIC) like solutions has also been confirmed both in the normal phase as well as in the super-conducting phase. We also show that a combination of Fermi velocity and gap parameter step-like profiles provides scattering solutions with normal reflection and transmission.

show abstract

“…To begin with we note that the BdG Hamiltonian in the * (Corresponding Author) Email: orlando.panella@pg.infn.it Andreev approximation is given by [2,3,6]…”

Section: Formalismmentioning

confidence: 99%