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We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility…

Strongly Correlated Electrons · Physics 2009-11-13 A. Di Ciolo , J. Lorenzana , M. Grilli , G. Seibold

We use the Variational Exact Diagonalization to investigate the single polaron properties for four different dual models, combining a short-range off-diagonal (Peierls) plus a longer-range diagonal (Holstein or breathing-mode) coupling.…

Strongly Correlated Electrons · Physics 2022-08-31 Monodeep Chakraborty , Sankeerth S. Narayan , Vigneshwaran R. , Mona Berciu

High-$T_c$ superconductors are characterized by very low carrier densities. This feature leads to two fundamental consequences: on one hand the Fermi energies are correspondingly small and they can be of the same order of phonon…

Superconductivity · Physics 2009-10-31 E. Cappelluti , C. Grimaldi , L. Pietronero , S. Straessler

Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic model for such materials that captures both kinds of…

Strongly Correlated Electrons · Physics 2026-03-16 Aiman Al-Eryani , Sabine Andergassen , Michael M. Scherer

We study electron-electron and electron-phonon mediated pairing in the Holstein extended Hubbard model on the Kagome lattice near the van Hove fillings, and investigate their combined effects on electron pairing states. We find that their…

Strongly Correlated Electrons · Physics 2024-02-02 Xianxin Wu , Debmalya Chakraborty , Andreas P. Schnyder , Andrés Greco

Advances in light sources and time resolved spectroscopy have made it possible to excite specific atomic vibrations in solids and to observe the resulting changes in electronic properties but the mechanism by which phonon excitation causes…

Superconductivity · Physics 2017-05-05 Dante M. Kennes , Eli Y. Wilner , David R. Reichman , Andrew J. Millis

The comparison study of high pressure superconducting state of recently synthesized H$_3$S and PH$_3$ compounds are conducted within the framework of the strong-coupling theory. By generalization of the standard Eliashberg equations to…

Superconductivity · Physics 2017-07-05 Artur P. Durajski

Magnetization measurements under hydrostatic pressure up to 10.5 kbar in zirconium dodecaboride ZrB$_{12}$ superconductor ($T_c\simeq6.0$ K at $p=0$) were carried out. A negative pressure effect on $T_c$ with ${\rm d} T_c/{\rm d} p…

Superconductivity · Physics 2009-11-11 R. Khasanov , D. Di Castro , M. Belogolovskii , Yu. Paderno , V. Filippov , R. Brütsch , H. Keller

Recent optical studies in c-axis oriented superconducting MgB$_2$ films indicate that the electron-phonon coupling is weak [tu01]. We reinforce this conclusion by examining the raw reflectance data; its frequency dependence is incompatible…

Superconductivity · Physics 2009-11-07 F. Marsiglio

We evaluate all the electron-phonon couplings derived from the one-body electronic interactions, in both the adiabatic and extreme non-adiabatic limit, for a dimer with a non-degenerate orbital built from atomic wave functions of Gaussian…

Strongly Correlated Electrons · Physics 2009-10-31 M. Acquarone , C. Noce

We analyze Cooper pairing instabilities in strongly driven electron-phonon systems. The light-induced non-equilibrium state of phonons results in a simultaneous increase of the superconducting coupling constant and the electron scattering.…

Superconductivity · Physics 2016-12-16 Michael Knap , Mehrtash Babadi , Gil Refael , Ivar Martin , Eugene Demler

We examine the effects of hole-phonon interaction on the formation of hole pairs in the 2D Holstein t--J model. Using finite-lattice diagonalization techniques, we present exact results for the two-hole binding energy and the s-- and d-wave…

Strongly Correlated Electrons · Physics 2008-02-03 G. Wellein , B. B"auml , H. Fehske

We study the superconducting phase with two component order parameter scenario, such as, $d_{x^2-y^2} + e^{i\theta}s_{\alpha}$, where $\alpha = xy, x^2+y^2$. We show, that in absence of orthorhombocity, the usual $d_{x^2-y^2}$ does not mix…

Superconductivity · Physics 2009-10-31 Haranath Ghosh

Iron-based superconductors have been found to exhibit an intimate interplay of orbital, spin, and lattice degrees of freedom, dramatically affecting their low-energy electronic properties, including superconductivity. Albeit the precise…

We address the effect of band filling on the effective electron mass $m^*$ and the superconducting critical temperature $T_c$ in a electron-phonon system. We compare the vertex corrected theory with the non-crossing approximation of the…

Superconductivity · Physics 2009-11-10 E. Cappelluti , S. Ciuchi , C. Grimaldi , L. Pietronero

Motivated by the recent discovery of superconductivity in square-planar nickelates as well as by longstanding puzzling experiments in heavy-fermion superconductors, we study Cooper pairing between correlated $d$-electrons coupled to a band…

Superconductivity · Physics 2021-01-04 Emilian M. Nica , Onur Erten

In conventional superconductors, the electron pairing that allows superconductivity is caused by exchange of virtual phonons, which are quanta of lattice vibration. For high-transition-temperature (high-Tc) superconductors, it is far from…

Superconductivity · Physics 2009-11-10 G. -H. Gweon , T. Sasagawa , S. Y. Zhou , J. Graf , H. Takagi , D. -H. Lee , A. Lanzara

The attempt to understand cuprate superconductors is complicated by the presence of multiple strong interactions. While many believe that antiferromagnetism is important for the superconductivity, there has been revived interest in the role…

Superconductivity · Physics 2009-11-11 D. Reznik , L. Pintschovius , M. Ito , S. Iikubo , M. Sato , H. Goka , M. Fujita , K. Yamada , G. D. Gu , J. M. Tranquada

The electronic self-energy is studied for a two dimensional electron gas coupled to a spin-orbit Rashba field and interacting with dispersionless phonons. For the case of a momentum independent electron-phonon coupling (Holstein model) we…

Strongly Correlated Electrons · Physics 2009-11-13 E. Cappelluti , C. Grimaldi , F. Marsiglio