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High-Tc superconductivity in layered cuprates is described in a BCS-BEC formalism with linearly-dispersive s- and d-wave Cooper pairs moving in quasi-2D finite-width layers about the CuO_2 planes. This yields a closed formula for Tc…

Superconductivity · Physics 2010-01-07 C. Villarreal , M. de Llano

Two hydrogen-rich materials, H$_3$S and LaH$_{10}$, synthesized at megabar pressures, have revolutionized the field of condensed matter physics providing the first glimpse to the solution of the hundred-year-old problem of room temperature…

Discovery of high-temperature superconductivity in hydrogen-rich compounds has fuelled the enthusiasm for finding materials with more promising superconducting properties among hydrides. However, the ultrahigh pressure needed to synthesize…

Superconductivity · Physics 2021-09-22 Miao Gao , Xun-Wang Yan , Zhong-Yi Lu , Tao Xiang

The superconducting properties of the 2D fermion system with local and different types of the indirect boson-exchange attractions in the cases of s-wave and d-wave pairing are reviewed and analysed at T=0. In particular, the possibility of…

Superconductivity · Physics 2007-05-23 V. M. Loktev , V. Turkowski

Experimental discovery of near-room-temperature superconductivity in highly compressed hydrogen sulfate started a new era in superconductivity. To date, researchers have made the discovery of dozens of superconducting hydride phases with…

Superconductivity · Physics 2024-01-04 E. F. Talantsev

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

Borocarbide compounds with the formula RNi2B2C show interesting superconducting and magnetic properties and the coexistence of the two phenomena. BCS theory is extended to systems with underlying commensurate magnetic order. In the case of…

Superconductivity · Physics 2009-10-31 A. Amici , P. Thalmeier , P. Fulde

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

In this article we study superconductor-insulator transitions within the general framework of an attractive Hubbard model. This is a well-defined model of s-wave superconductivity which permits different tuning parameters (disorder and…

Superconductivity · Physics 2013-09-19 Yen Lee Loh , Nandini Trivedi

Strong electron-phonon interactions in cuprates and other high-temperature superconductors have gathered support over the last decade in a large number of experiments. Here I briefly introduce the Froehlich-Coulomb multi-polaron model of…

Superconductivity · Physics 2015-06-24 A. S. Alexandrov

Emerging in the 1950s, the multiband superconductivity has been considered for a long time as an approximate model in the form of a generalization of the BCS theory to the case of two bands for a more accurate quantitative description of…

Superconductivity · Physics 2017-12-05 Y. Yerin , A. N. Omelyanchouk

The temperature dependence of the two superconducting gaps in pressurised H_3S at 155 GPa with a critical temperature of 203 K has been determined by data analysis of the experimental curve of the upper critical magnetic field as a function…

Superconductivity · Physics 2023-08-02 G. A. Ummarino , A. Bianconi

Within the framework of the Charge Density Wave Quantum Critical Point (CDW-QCP) scenario for high-T_c superconductors (HTCS), we introduce a model for tight-binding electrons coupled to quasi-critical fluctuations. In the normal state our…

Superconductivity · Physics 2007-05-23 S. Caprara , A. Perali , M. Sulpizi

Since its discovery more than a century ago, superconductivity has been at the epicentre of condensed matter physics research. The electron phonon coupling in conventional superconductors, which obeys BCS theory, causes an attractive…

Superconductivity · Physics 2023-02-22 K. Panda

The trivalent alkali fullerides A$_3$C$_{60}$, where C$_{60}$ are a well established family of molecular superconductors. The electron pairing has s-wave symmetry and is due to standard electron-phonon coupling, in particular by Jahn-Teller…

Superconductivity · Physics 2009-06-24 M. Capone , M. Fabrizio , C. Castellani , E. Tosatti

We study the superconducting proximity effect induced in the surface states of the 3-d topological insulator Bi$_2$Se$_3$ by a singlet, s-wave superconductor deposited on its surface. To this effect, the…

Superconductivity · Physics 2015-09-29 Roland Grein , Jens Michelsen , Matthias Eschrig

We study collective amplitude modes of the superconducting order parameter in strongly-coupled electron-phonon systems described by the Holstein model using the nonequilibrium dynamical mean-field theory with the self-consistent Migdal…

Superconductivity · Physics 2017-06-19 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

Superconductivity (SC) or superfluidity (SF) is observed across a remarkably broad range of fermionic systems: in BCS, cuprate, iron-based, organic, and heavy-fermion superconductors, and superfluid helium-3 in condensed matter; in a…

Superconductivity · Physics 2015-08-18 Mike Guidry , Yang Sun

The discovery of superconductivity at 203K in SH$_3$ is an important step toward higher values of $T_c$. Predictions based on state-of-the-art DFT for the electronic structure, including one preceding experimental confirmation, showed the…

Superconductivity · Physics 2019-10-09 J. P. Carbotte , E. J. Nicol , T. Timusk

Scanning tunneling spectroscopies in the subKelvin temperature range were performed on superconducting Silicon epilayers doped with Boron in the atomic percent range. The resulting local differential conductance behaved as expected for a…

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