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The superconducting instability in a non-Fermi liquid in $ d>1$ is considered. For a particular form of the single particle spectral function with homogeneous scaling $A(\Lambda k, \Lambda \omega) = \Lambda^{\alpha} A(k, \omega)$ it is…

Condensed Matter · Physics 2009-10-22 A. V. Balatsky

We examine possibility of enhancement of superconductive critical temperature in two-dimensions. The weak coupling BCS theory is applied, especially when the Fermi level is near the edges of the electronic bands. The attractive interaction…

Superconductivity · Physics 2015-06-24 Mahito Kohmoto , Iksoo Chang , Jacques Friedel

Stimulating a system with time dependent sources can enhance instabilities, thus increasing the critical temperature at which the system transitions to interesting low-temperature phases such as superconductivity or superfluidity. After…

High Energy Physics - Theory · Physics 2011-11-04 Ning Bao , Xi Dong , Eva Silverstein , Gonzalo Torroba

Possible superconductivity of electrons with the Dirac spectrum is analyzed using the BCS model. We calculate the critical temperature, the superconducting energy gap, and supercurrent as functions of the doping level and of the pairing…

Superconductivity · Physics 2019-10-04 N. B. Kopnin , E. B. Sonin

The confinement of a superconductor in a thin film changes its Fermi-level density of states and is expected to change its critical temperature $T_c$. Previous calculations have reported large discontinuities of $T_c$ when the chemical…

Superconductivity · Physics 2016-08-26 D. Valentinis , D. van der Marel , C. Berthod

It was recently shown that the BCS formalism leads to several solutions for the energy gap and the equilibrium quasiparticle distribution, with a phase transition temperature which depends on the position of the chemical potential within…

Superconductivity · Physics 2019-08-19 Dragos-Victor Anghel

We describe high-Tc superconductivity in layered materials within a BCS theory as a BEC of massless-like Cooper pairons satisfying a linear dispersion relation, and propagating within quasi-2D layers of finite width defined by the charge…

Superconductivity · Physics 2017-08-23 C. Villarreal , M. de Llano

Generalized BCS equations which consistently include the projection on the particle-number parity are derived from a systematic variational method. Numerical solutions are given that are illustrative of ultra-small metallic grains. Compared…

Superconductivity · Physics 2007-05-23 R. Balian , H. Flocard , M. Veneroni

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 partly in collaboration with R. Frank, E. Hamza, S. Naboko,…

Mathematical Physics · Physics 2016-09-29 Christian Hainzl , Robert Seiringer

Based on experimental results and our previous theoretical work, a microscopic theory of high temperature superconductivity is conjectured. In this conjecture, superconducting and antiferromagnetic long-range orders are driven by interlayer…

Strongly Correlated Electrons · Physics 2007-05-23 Bumsoo Kyung

A detailed analysis is given of the effects of common and recurring approximations used in conventional superconductivity theories on the condensation energy values, whose magnitudes are notoriously smaller than those of other energies as…

Superconductivity · Physics 2022-10-19 I. Chávez , P. Salas , M. A. Solís , M. de Llano

Based on recent progress in mathematical physics, we present a reliable method to analytically solve the linearized BCS gap equation for a large class of finite-range interaction potentials leading to s-wave superconductivity. With this…

Superconductivity · Physics 2019-04-24 Edwin Langmann , Christopher Triola , Alexander V. Balatsky

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

(1) The temperature dependence of the specific heat for a marginal Fermi liquid has been calculated. (2) We calculated the self-energy at T=0 for a two dimensional fermionic system with hyperbolic dispersion. The existence of the saddle…

Condensed Matter · Physics 2007-05-23 Catalin Pascu Moca

In this paper we demonstrate how, using a natural generalization of BCS theory, superconducting phase coherence manifests itself in phase insensitive measurements, when there is a smooth evolution of the excitation gap \Delta from above to…

Superconductivity · Physics 2009-02-05 Qijin Chen , K. Levin , Ioan Kosztin

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

We examine the possibility of high temperature superconductivity from two-dimensional semiconductor without antiferromagnetic fluctuations. The weak coupling BCS theory is applied, especially where the Fermi level is near the bottom of the…

Superconductivity · Physics 2007-05-23 Mahito Kohmoto , Iksoo Chang , Jacques Friedel

We derive the superconductiong mean-field equations for an attractive interaction, V, in the s-wave channel when local Coulomb interactions are taken into account for any value of U. Our results show that the Coulomb repulsion is…

Strongly Correlated Electrons · Physics 2016-08-15 A. A. Schmidt , J. J. Rodríguez-Núñez

Theory of superconductivity in two-band non-adiabatic systems with strong electron correlations in the linear approximation over non-adiabaticity is built in the article. Having assumed weak electron-phonon interaction analytical…

Superconductivity · Physics 2007-05-23 M. E. Palistrant , V. A. Ursu

We derive a phase diagram for the pseudogap onset temperature $T^*$ (associated with the breakdown of the Fermi liquid state, due to strong pairing correlations) and the superconducting instability, $T_c$, as a function of variable pairing…

Superconductivity · Physics 2007-05-23 Jiri Maly , Boldizsar Janko , K. Levin