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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

Increasing numerical studies showed that the simplest Hubbard model on the square lattice with strong repulsion may not exhibit high-temperature superconductivity (SC). It is desired to look for other possible microscopic mechanism of…

Strongly Correlated Electrons · Physics 2025-08-12 Hao-Xin Wang , Yi-Fan Jiang , Hong Yao

We analyze the transition temperature $T_c$ of bipolaronic superconductivity in a bond Su-Schrieffer-Heeger (bond-SSH) model -- also known as a bond Peierls model -- where the electron hoppings are modulated by bond phonons. Using a…

Superconductivity · Physics 2024-06-14 Kyung-Su Kim , Zhaoyu Han , John Sous

We present a brief review of some recent work on the problem of highest achievable temperature of superconducting transition $T_c$ in electron-phonon systems. The discovery of record-breaking values of $T_c$ in quite a number of hydrides…

Superconductivity · Physics 2025-11-11 M. V. Sadovskii

We study bipolaron formation and bipolaronic superconductivity on a square lattice, where electrons couple to both local Holstein phonons via on-site charge density and nonlocal bond Su-Schrieffer-Heeger phonons via modulation of hopping…

Superconductivity · Physics 2025-11-11 Chao Zhang

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

We investigate the two-dimensional optical Su-Schrieffer-Heeger (SSH) model, in which the electron hopping amplitude is modulated by the difference between neighboring phonon coordinates. Using sign-problem-free auxiliary-field quantum…

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

A possible origin of the high-temprature superconductivity in cuprates has been suggested. It is supposed that electron-phonon interaction determines the strong correlation narrowing of the electron band. It provides the conditions for the…

Strongly Correlated Electrons · Physics 2015-06-16 E. E. Zubov

Recently superconductivity has been discovered at around 200~K in a hydrogen sulfide system and around 260~K in a lanthanum hydride system, both under pressures of about 200 GPa. These record-breaking transition temperatures bring within…

Superconductivity · Physics 2020-07-15 Sabri Elatresh , T. Timusk , E. J. Nicol

Over the last several years, a new generation of quantum simulations has greatly expanded our understanding of charge density wave phase transitions in Hamiltonians with coupling between local phonon modes and the on-site charge density. A…

Strongly Correlated Electrons · Physics 2021-01-13 Bo Xing , Wei-ting Chiu , Dario Poletti , Richard T. Scalettar , George G. Batrouni

Phonon-mediated superconductivity is conventionally thought to be capped at a transition temperature $T_{\mathrm{c}}$ no larger than roughly one-tenth of the phonon frequency $\Omega$, a bound rooted in the breakdown of Migdal-Eliashberg…

Superconductivity · Physics 2026-05-19 John Sous

To understand the most-recent experiment on room-temperature superconductivity in carbonaceous sulfur hydride (CSH) systems under high pressure, we have performed extensive stoichiometry and structure searches of ternary CSH compounds using…

Superconductivity · Physics 2020-12-21 S. X. Hu , R. Paul , V. V. Karasiev , R. P. Dias

The ScAu$_2$Al superconducting Heusler-type compound was recently characterized to have the highest critical temperature of $T_c = 5.12$ K and the strongest electron-phonon coupling among the Heusler family. In this work, the electronic…

Superconductivity · Physics 2023-12-04 Gabriel Kuderowicz , Bartlomiej Wiendlocha

The electron-phonon (e-ph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge-density-waves (CDW), and polarons. We study the two-dimensional Holstein model for e-ph…

Strongly Correlated Electrons · Physics 2021-07-12 B. Nosarzewski , E. W. Huang , Philip M. Dee , I. Esterlis , B. Moritz , S. A. Kivelson , S. Johnston , T. P. Devereaux

The highest critical temperature of superconductivity Tc has been achieved in cuprates: 133 K at ambient pressure and 164 K at high pressures. As the nature of superconductivity in these materials is still not disclosed, the prospects for a…

Superconductivity · Physics 2014-12-02 A. P. Drozdov , M. I. Eremets , I. A. Troyan

We used our developed AI search engine~(InvDesFlow) to perform extensive investigations regarding ambient stable superconducting hydrides. A cubic structure Li$_2$AuH$_6$ with Au-H octahedral motifs is identified to be a candidate. After…

Superconductivity · Physics 2025-05-15 Zhenfeng Ouyang , Bo-Wen Yao , Xiao-Qi Han , Peng-Jie Guo , Ze-Feng Gao , Zhong-Yi Lu

Hydrides have long been considered promising candidates for achieving room-temperature superconductivity; however, the extremely high pressures typically required for high critical temperatures remain a major challenge in experiment. Here,…

This work presents an analysis of the functional derivative of the superconducting transition temperature T$_c$ with respect to the electron-phonon coupling function $\alpha^2F(\omega)$ [$\delta T_c/\delta \alpha^2$F($\omega$)] and…

Superconductivity · Physics 2020-09-14 J. A. Camargo-Martínez , G. I. González-Pedreros , F. Mesa

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
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