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From the viewpoint of operator theory, we deal with the temperature dependence of the solution to the BCS gap equation for superconductivity. When the potential is a positive constant, the BCS gap equation reduces to the simple gap…

Functional Analysis · Mathematics 2013-10-30 Shuji Watanabe

The one-loop effective potential for gauge models in static de Sitter space at finite temperatures is computed by means of the $\zeta$--function method. We found a simple relation which links the effective potentials of gauge and scalar…

High Energy Physics - Theory · Physics 2016-09-06 Lara De Nardo , Dmitri V. Fursaev , Gennaro Miele

We study the thermodynamics of a two-species homogeneous and dilute Bose gas that is self-interacting and quadratically coupled to each other. We make use of field theoretical functional integral techniques and evaluate the one-loop finite…

Other Condensed Matter · Physics 2007-05-23 Marcus Benghi Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

The BCS results for the superconducting gap $\Delta$ and $T_C$ are obtained from a one-particle model. Superconductivity appears when the electronic energy gains of the band structure surpass the energy needed for atomic vibrations or…

Superconductivity · Physics 2009-11-17 T. Jarlborg

Using time-domain Terahertz spectroscopy we performed direct studies of the photoinduced suppression and recovery of the superconducting gap in a conventional BCS superconductor NbN. Both processes are found to be strongly temperature and…

Superconductivity · Physics 2015-05-27 M. Beck , M. Klammer , S. Lang , P. Leiderer , V. V. Kabanov , G. N. Gol'tsman , J. Demsar

We study the energy gap within the Dynes superconductor theory. This model generalizes the Bardeen-Cooper-Schrieffer (BCS) approach by including the pair-breaking scattering, introducing the tunneling in-gap states up to a Fermi level. We…

Superconductivity · Physics 2024-12-30 Anastasiya Lebedeva , František Herman

According to the BCS model the probability of filling of pair electron states vk2 as a function of kinetic energy is smeared i.e. is not a step function. This means that part of energy of connection through virtual phonons is consumed to…

Superconductivity · Physics 2011-01-04 I. N. Zhilyaev

The canonical BCS wave function is tested for the attractive Hubbard model. Results are presented for one dimension, and are compared with the exact solutions by the Bethe ansatz and the results from the conventional grand canonical BCS…

Superconductivity · Physics 2009-10-31 K. Tanaka , F. Marsiglio

We use tunable laser based Angle Resolved Photoemission Spectroscopy to study the electronic structure of the multi-band superconductor, MgB2. These results form the base line for detailed studies of superconductivity in multi-band systems.…

Superconductivity · Physics 2017-03-21 Daixiang Mou , Rui Jiang , Valentin Taufour , S. L. Bud'ko , P. C. Canfield , Adam Kaminski

We present temperature dependences of the large and the small superconducting gaps measured directly by SnS-Andreev spectroscopy in various Fe-based superconductors and MgB$_2$. The experimental $\Delta_{L,S}(T)$ are well-fitted with a…

Superconductivity · Physics 2016-12-14 S. A. Kuzmichev , T. E. Kuzmicheva , S. N. Tchesnokov , V. M. Pudalov , A. N. Vasiliev

The properties of the d-wave superconducting state in the two-dimensional system have been studied. It has been assumed, that the pairing mechanism is based on the electron-phonon and the electron-electron-phonon interactions. The obtained…

Superconductivity · Physics 2012-04-23 R. Szczȩśniak

We use a symmetry-constrained variational procedure to construct a generalization of BCS to include Cooper pairs with non-zero momentum and angular momentum. The resulting gap equations are solved at zero and finite temperature, and the…

Superconductivity · Physics 2008-11-26 Yang Sun , Mike Guidry , Cheng-Li Wu

We derive upper and lower bounds on the critical temperature $T_c$ and the energy gap $\Xi$ (at zero temperature) for the BCS gap equation, describing spin 1/2 fermions interacting via a local two-body interaction potential $\lambda V(x)$.…

Superconductivity · Physics 2009-11-13 Christian Hainzl , Robert Seiringer

Pseudogap phase in superconductors continues to be an outstanding puzzle that differentiates unconventional superconductors from the conventional ones (BCS-superconductors). Employing high resolution photoemission spectroscopy on a highly…

The solutions of a renormalized BCS model are studied in two space dimensions in $s$, $p$ and $d$ waves for finite-range separable potentials. The gap parameter, the critical temperature $T_c$, the coherence length $\xi$ and the jump in…

Superconductivity · Physics 2009-10-30 Sadhan K. Adhikari , Angsula Ghosh

We report the effects on the thermodynamic properties of a 3D Bose gas caused by a temperature dependent energy gap between the ground state and the first excited state of the energy spectrum of the particles constituting the Bose gas which…

Superconductivity · Physics 2026-01-13 Juan José Valencia Acevedo , Miguel Ángel Solís Atala

Various properties of underdoped superconducting cuprates, including the momentum-dependent pseudogap opening, indicate a behavior which is neither BCS nor Bose-Einstein condensation (BEC) like. To explain this issue we introduce a two-gap…

Superconductivity · Physics 2009-10-31 A. Perali , C. Castellani , C. Di Castro , M. Grilli , E. Piegari , A. A. Varlamov

We present an InAs-GaSb-based system in which the electric-field tunability of its 2D energy gap implies a transition towards a thermodynamically stable excitonic condensed phase. Detailed calculations show a 3 meV BCS-like gap appearing in…

Condensed Matter · Physics 2009-10-28 Y. Naveh , B. Laikhtman

The solutions of a renormalized BCS equation are studied in three space dimensions in $s$, $p$ and $d$ waves for finite-range separable potentials in the weak to medium coupling region. In the weak-coupling limit, the present BCS model…

Superconductivity · Physics 2009-10-30 Angsula Ghosh , Sadhan K. Adhikari

Though commonly unrecognized, a superconducting BCS condensate consists of equal numbers of two-electron (2e) and two-hole (2h) Cooper pairs (CPs). A complete (in the sense that 2h-CPs are not ignored) boson-fermion statistical model,…

Superconductivity · Physics 2007-05-23 M. de Llano