On the BCS gap equation for superfluid fermionic gases

Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert

doi:10.1142/9789814618144_0007

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2016

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For ways to construct such a sequence of potentials, we refer to [1] or [7,8]. By using similar methods as the ones discussed in this section, it was shown in [8] that for suitable sequences V ℓ the corresponding solution to the BCS gap equation ∆ ℓ converges to a constant ∆ as ℓ → 0.…”

Section: 3mentioning

confidence: 99%

See 1 more Smart Citation

The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties

Hainzl

Seiringer

2016

Journal of Mathematical Physics

Self Cite

View full text Add to dashboard Cite

Abstract. We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers [20,11,23,24,25,26,12,14] partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J.P. Solovej. Our discussion includes, in particular, an investigation of the critical temperature for a general class of interaction potentials, as well as a study of its dependence on external fields. We shall explain how the Ginzburg-Landau model can be derived from the BCS theory in a suitable parameter regime.

show abstract

Section: 3mentioning

confidence: 99%

“…Then there is a unique minimizer (up to a constant phase) of the zero-temperature BCS functional (3.60). The corresponding energy gap, Ξ = inf p (p 2 − µ) 2 + |∆(p)| 2 , is strictly positive, ln(8) . (3.63)Here, b µ (λ) is defined in (3.49).…”

mentioning

confidence: 99%