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A low order diagrammatic study of the dimension dependent Su-Schrieffer-Heeger model Hamiltonian in the weak electron-phonon coupling regime is presented. Exact computation of both the charge carrier effective mass and the electron spectral…

Superconductivity · Physics 2009-11-07 Marco Zoli

We have studied the lattice dynamics, electron-phonon coupling, and superconducting properties of $\alpha$-MoB$_2$, as a function of applied pressure, within the framework of density functional perturbation theory using a mixed-basis…

Superconductivity · Physics 2023-10-31 Marco-Antonio Carmona-Galván , Rolf Heid , Omar De la Peña-Seaman

A possibility of the odd-frequency pairing in the strong-coupling electron-phonon systems is discussed. Using the Holstein-Hubbard model, we demonstrate that the anomalously soft Einstein mode with the frequency $\omega_{\rm…

Superconductivity · Physics 2015-05-20 Hiroaki Kusunose , Yuki Fuseya , Kazumasa Miyake

We discuss the consequences of both electron-phonon and electron-electron couplings in 1D and 2D multi-band (Peierls-Hubbard) models. After briefly discussing various analytic limits, we focus on (Hartree-Fock and exact) numerical studies…

Condensed Matter · Physics 2007-05-23 J. Tinka Gammel , K. Yonemitsu A. Saxena , A. R. Bishop , H. Röder

The paradigmatic Migdal-Eliashberg theory of the electron-phonon problem is central to the understanding of superconductivity in conventional metals. This powerful framework is justified by the smallness of the Debye frequency relative to…

Superconductivity · Physics 2020-06-19 Debanjan Chowdhury , Erez Berg

Phonon properties of realistic materials are routinely calculated within the Density Functional Perturbation Theory\,(DFPT). This is a semi--classical approach where the atoms are assumed to oscillate along classical trajectories immersed…

Materials Science · Physics 2024-07-24 Andrea Marini

In insulators, Born effective charges describe the electrical polarization induced by the displacement of individual atomic sublattices. Such a physical property is at first sight irrelevant for metals and doped semiconductors, where the…

Materials Science · Physics 2022-03-09 Cyrus E. Dreyer , Sinisa Coh , Massimiliano Stengel

We study the hole binding energy and pairing correlations in the three-band Hubbard model coupled to an apical oxygen phonon, by exact diagonalization and constrained-path Monte Carlo simulations. In the physically relevant charge-transfer…

Strongly Correlated Electrons · Physics 2011-03-02 Z. B. Huang , H. Q. Lin , E. Arrigoni

Electron-phonon coupling (EPC) is key for understanding many properties of materials such as superconductivity and electric resistivity. Although first principles density-functional-theory (DFT) based EPC calculations are used widely, their…

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis

Recent experiments on metallic nanohybrids have revealed unusually strong electron-phonon effects emerging from nanoscale interfaces, despite the weak coupling character of the constituent bulk materials. Motivated by these observations, we…

Strongly Correlated Electrons · Physics 2026-04-08 Debraj Bose , Saheli Sarkar , Pinaki Majumdar

The effects of an electron-phonon ($e$-ph) interaction on the thermoelectric properties of Na$_x$CoO$_2$ are analyzed. By means of dynamical mean field theory calculations we find that the $e$-ph coupling acts in a cooperative way with the…

Strongly Correlated Electrons · Physics 2012-09-03 G. Sangiovanni , P. Wissgott , F. Assaad , A. Toschi , K. Held

For a dimer with a non-degenerate orbital built from atomic wave functions of Gaussian shape we evaluate all the electron-phonon couplings derived from the one-body and two-body electronic interactions, considering both the adiabatic and…

Strongly Correlated Electrons · Physics 2016-08-31 Marcello Acquarone , Canio Noce

We study the isotope effects arising from the coupling of correlated electrons with dispersionless phonons by considering the Hubbard-Holstein model at half-filling within the dynamical mean-field theory. In particular we calculate the…

Strongly Correlated Electrons · Physics 2007-08-08 P. Paci , M. Capone , E. Cappelluti , S. Ciuchi , C. Grimaldi

The breakdown of the adiabatic Born-Oppenheimer approximation is striking dynamical phenomenon, however, it occurs only in a handful of layered materials. Here, I show that adiabaticity breaks down in doped single-layer transition metal…

Materials Science · Physics 2020-02-07 Dino Novko

We employ the diagrammatic Monte Carlo method with a lattice path-integral formulation for both electron and phonon degrees of freedom to investigate the formation and properties of bond polarons and bipolarons on a two-dimensional…

Superconductivity · Physics 2025-07-11 Chao Zhang

The "standard" theory of a normal metal consists of an effective electron band which interacts with phonons and impurities. The effects due to the electron-phonon interaction are often delineated within the Migdal approximation; the…

Strongly Correlated Electrons · Physics 2009-11-10 Fatih Dogan , Frank Marsiglio

We study the effect of dynamical Holstein phonons on the physics of the Hubbard model at small doping using the dynamical cluster approximation on a $2\times2$ cluster. Non-local antiferromagnetic correlations are found to significantly…

Strongly Correlated Electrons · Physics 2007-05-23 Alexandru Macridin , Brian Moritz , Mark Jarrell , Thomas Maier

Electron-boson coupling plays a key role in superconductivity for many systems. However, in copper-based high-temperature ($T_c$) superconductors, its relation to superconductivity remains controversial despite strong spectroscopic…

Effects of electron-phonon interactions on the band structure can be experimentally investigated in detail by measuring the temperature dependence of energy gaps or critical points (van Hove singularities) of the optical excitation spectra.…

Superconductivity · Physics 2009-11-10 Manuel Cardona
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