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Lately, there has been much interest in high temperature superconductors, and more recently hydrogen-based superconductors. This work offers a simple model which explains the behavior of the superconducting gap based on BCS theory, and…

Superconductivity · Physics 2018-07-04 Daniel Kaplan , Yoseph Imry

The thermodynamic impact of the Coulomb repulsion on s-wave superconductors is analyzed via a rigorous study of equilibrium and ground states of the strong coupling BCS-Hubbard Hamiltonian. We show that the one-site electron repulsion can…

Mathematical Physics · Physics 2016-08-31 J. -B. Bru , W. de Siqueira Pedra

Recent reports of superconductivity in the vicinity of room temperature have been the subject of discussion by the community. Specifically, features in the resistance-temperature (R-T) relations have raised questions. We show that many of…

Superconductivity · Physics 2024-04-02 Alexander C. Mark , Russell J. Hemley

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

We examine the effect of repulsion on superconductivity in a three-dimensional system with a Bardeen-Pines-like interaction in the low-density limit, where the chemical potential $\mu$ is much smaller than the phonon frequency $\omega_L$.…

Superconductivity · Physics 2022-03-14 Dan Phan , Andrey V. Chubukov

We calculate correction to the critical temperature of a dirty superconductor, which results from the local variations of the gap function near impurity sites. This correction is of the order of T_c/E_F and becomes important for…

Superconductivity · Physics 2009-10-31 M. E. Zhitomirsky , M. B. Walker

We introduce a new and general mechanism for superconductivity in Fermi systems with strong repulsive interaction. Because kinetic terms are small compared to the bare repulsion, the dynamic of charge carriers is constrained by the the…

Superconductivity · Physics 2022-07-22 Valentin Crépel , Liang Fu

Studies of the superconducting proximity effect in normal conductor/superconductor $(N/S)$ junctions almost universally assume no effective electron-electron coupling in the $N$ region. While such an approximation leads to a simple…

Superconductivity · Physics 2015-05-20 Oriol T. Valls , Matthew Bryan , Igor Zutic

We deal with the gap equation in the BCS-Bogoliubov theory of superconductivity, where the gap function is a function of the temperature $T$ only. We show that the squared gap function is of class $C^2$ on the closed interval…

Mathematical Physics · Physics 2010-06-08 Shuji Watanabe

Properties of superfluid states of two-dimensional electron systems with critical antiferromagnetic fluctuations are investigated. These correlations are found to result in the emergence of rapidly varying in the momentum space terms in all…

Strongly Correlated Electrons · Physics 2009-11-10 V. A. Khodel , V. M. Yakovenko

We review recent theoretical progress in understanding spatially uniform $s$-wave superconductivity which arises from a fermion-fermion interaction, which is repulsive on the Matsubara axis, where it is real, but does depend on the…

Superconductivity · Physics 2022-09-05 Dimitri Pimenov , Andrey V. Chubukov

The BCS theory has described the conventional superconductors successfully.However,it is still not clear when the superconductivity occurs and why the resistance is zero.Also,there is no simple formula to calculate Tc,and it is not well…

Superconductivity · Physics 2021-11-23 Jinhuan Jiang

We present theoretical arguments and experimental support for the idea that high-Tc superconductivity can occur with s-wave, d-wave, or mixed-wave pairing in the context of a magnetic mechanism. The size and shape of the gap is different…

Condensed Matter · Physics 2009-10-28 B. E. C. Koltenbah , Robert Joynt

A model of superconductivity is proposed taking into account repulsive particle interaction, mesoscopic phase separation and softening of crystalline lattice. These features are typical of many high-temperature superconductors. The main…

Superconductivity · Physics 2007-05-23 A. J. Coleman , E. P. Yukalova , V. I. Yukalov

The model of hypothetical superconductivity, where the energy gap asymptotically approaches zero as temperature increases, has been proposed. Formally the critical temperature of such a superconductor is equal to infinity. For practical…

Superconductivity · Physics 2015-05-25 K. V. Grigorishin , B. I. Lev

The one-dimensional t-J model with density-density repulsive interactions is investigated using exact diagonalization and quantum Monte Carlo methods. A short-range repulsion pushes phase separation to larger values of J/t, and leads to a…

Condensed Matter · Physics 2007-05-23 M. Troyer , H. Tsunetsugu , T. M. Rice , J. Riera , E. Dagotto

It is proven that there exist some universal relations between the energy gap and the differences of the thermodynamic potential, entropy, specific heat and critical magnetic field for many two- and three-dimensional models of…

Superconductivity · Physics 2015-06-24 R. Gonczarek , M. Krzyzosiak

It is proposed that in high temperature superconductors Cooper pairs form and condense due to the monotonic-oscillatory transition in the pair potential of mean force, which occurs quite generally at high coupling in charge systems. It is…

Superconductivity · Physics 2022-06-22 Phil Attard

We study the phase diagram of the Hubbard model in the limit where U, the onsite repulsive interaction, is much smaller than the bandwidth. We present an asymptotically exact expression for T$_c$, the superconducting transition temperature,…

Superconductivity · Physics 2010-10-19 S. Raghu , S. A. Kivelson , D. J. Scalapino

It is argued that the BCS many-body theory, which is outstandingly successful for conventional superconductors, does not apply to the high temperature superconductors and that a realistic theory must take account of the local electronic…

Condensed Matter · Physics 2007-05-23 V. J. Emery , S. A. Kivelson
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