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The BCS theory has been extended by us to the strong-coupling regime where carriers are small lattice polarons and bipolarons. Here I review the multi-polaron strong-coupling theory of superconductivity. Attractive electron correlations,…

Superconductivity · Physics 2008-05-23 A. S. Alexandrov

High-temperature superconductivity (HTS) of cuprates represents a challenge to the conventional theory. Here I review a multi-polaron approach to the problem based on our extension of the BCS theory to the strong-coupling regime. Since…

Superconductivity · Physics 2008-05-23 A. S. Alexandrov

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

Over the last decade several competing models of high-temperature superconductivity were proposed, most of them with short-range interactions. We review a more realistic model with strong on-site repulsive correlations, the Coulomb and…

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

In the last years ample experimental evidence has shown that charge carriers in high-temperature superconductors are strongly correlated but also coupled with lattice vibrations (phonons), signaling that the true origin of high-Tc…

Superconductivity · Physics 2012-11-29 A. S. Alexandrov , J. H. Samson , G. Sica

The long-range Froehlich electron-phonon interaction has been identified as the most essential for pairing in high-temperature superconductors owing to poor screening, as is now confirmed by optical, isotope substitution, recent…

Superconductivity · Physics 2009-11-11 A. S. Alexandrov

The seminal work by Bardeen, Cooper and Schrieffer taken further by Eliashberg to the intermediate coupling solved the problem of conventional superconductors about half a century ago. The Froehlich and Jahn-Teller electron-phonon…

Superconductivity · Physics 2009-11-10 A. S. Alexandrov

An analytical method of studying strong long-range electron-phonon and Coulomb interactions in complex lattices is presented. The method is applied to a perovskite layer with anisotropic coupling of holes to the vibrations of apical atoms.…

Superconductivity · Physics 2009-11-07 A. S. Alexandrov , P. E. Kornilovitch

A model of superconductivity in layered high-temperature superconducting cuprates is proposed, based on the extended saddle point singularities in the electron spectrum, weak screening of the Coulomb interaction and phonon-mediated…

Superconductivity · Physics 2015-06-25 Alexei A. Abrikosov

What is the microscopic interaction responsible for high temperature superconductivity (HTSC)? Here data on temporal relaxation of Tc and the room temperature conductivity in YBa2Cu3O(6+x) after abrupt alteration by light pulses or pressure…

Condensed Matter · Physics 2009-11-07 J. C. Phillips

We introduce a generic Froehlich-Coulomb model of the oxides, which also includes infinite on-site (Hubbard) repulsion, and describe a simple analytical method of solving the multi-polaron problem in complex lattice structures. Two…

Superconductivity · Physics 2009-11-07 A. S. Alexandrov , P. E. Kornilovitch

Extending the BCS theory towards the strong electron-phonon interaction (EPI), a charged Bose liquid of small bipolarons has been predicted by us with a further prediction that the highest superconducting critical temperature is found in…

Superconductivity · Physics 2007-05-23 A. S. Alexandrov

We present details of a continuous-time quantum Monte-Carlo algorithm for the screened Hubbard-Froehlich bipolaron. We simulate the bipolaron in one dimension with arbitrary interaction range in the presence of Coulomb repulsion, computing…

Strongly Correlated Electrons · Physics 2009-08-04 J. P. Hague , P. E. Kornilovitch

We investigate superlight pairing of bipolarons driven by electron-phonon interactions (EPIs) in face-center-cubic (FCC) and body-center-cubic (BCC) lattices using a continuous-time path-integral quantum Monte Carlo (QMC) algorithm. The…

Strongly Correlated Electrons · Physics 2025-12-11 G. D. Adebanjo , J. P. Hague , P. E. Kornilovitch

There is compelling evidence for a strong electron-phonon interaction (EPI) in cuprate superconductors from the isotope effects on the supercarrier mass, high resolution angle resolved photoemission spectroscopies (ARPES), a number of…

Superconductivity · Physics 2009-11-13 A. S. Alexandrov

We deal with a model for high-temperature superconductivity which maintains that in cuprates electrons running in the copper oxide layers, found in lattice of these materials, form spin-singlet bonds with electrons running in the…

Superconductivity · Physics 2007-05-23 P. Brovetto , V. Maxia

Employing unbiased sign-problem-free quantum Monte Carlo, we investigate the effects of long-range Coulomb forces on BEC of bipolarons using a model of bond phonon-modulated electron hopping. In absence of long-range repulsion, this model…

Superconductivity · Physics 2023-12-19 J. Sous , C. Zhang , M. Berciu , D. R. Reichman , B. V. Svistunov , N. V. Prokof'ev , A. J. Millis

Along with some other researches we have realised that the true origin of high-temperature superconductivity should be found in the strong Coulomb repulsion combined with a significant electronphonon interaction. Both interactions are…

Superconductivity · Physics 2011-12-19 A. S. Alexandrov

Light-mass bipolarons in off-diagonally coupled electron-phonon systems provide a potential route to bipolaronic high-Tc superconductivity. While there has been numerical progress in the physically relevant limit of slow phonons, more…

Superconductivity · Physics 2023-08-28 Martin Grundner , Tizian Blatz , John Sous , Ulrich Schollwöck , Sebastian Paeckel

Theoretical studies suggest that Su-Schrieffer-Heeger-like electron-phonon ($e$-ph) interactions can mediate high-temperature bipolaronic superconductivity that is robust against repulsive electron-electron interactions. Here we present a…

Superconductivity · Physics 2023-07-21 Andy Tanjaroon Ly , Benjamin Cohen-Stead , Sohan Malkaruge Costa , Steven Johnston
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