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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 study the Josephson current through a resonant level coupled to a vibration mode (local Holstein model) in the adiabatic limit of low oscillator frequency. A semiclassical theory is then appropriate and allows us to consider the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. Zazunov , R. Egger

Small Fermi energy effects are induced in MgB$_2$ by the low hole doping in the $\sigma$ bands which are characterized by a Fermi energy $E_{\rm F}^\sigma \sim 0.5$ eV. We show that, due to the particularly strong deformation potential…

Superconductivity · Physics 2009-11-10 L. Boeri , E. Cappelluti , L. Pietronero

Dynamic charge transfers, or charge fluxes, generated by anharmonic phonon couplings have previously shown some fundamental connections with the pseudogap phase and other important phases in cuprate superconductors. The anharmonicity here…

Superconductivity · Physics 2021-12-07 Xi Chen , Jianghui Pan , Jiahao Dong , Changkai Luo , Yuchuang Cao , Xin Li

Experimental observations of multi-quantum relaxation of highly vibrationally excited NO scattering from Au(111) are a benchmark for the breakdown of Born-Oppenheimer approximation in molecule-surface systems. This remarkable vibrational…

Chemical Physics · Physics 2019-10-23 Rongrong Yin , Yaolong Zhang , Bin Jiang

The Peierls instability in one-dimensional electron-phonon systems is known to be qualitatively well described by the Mean-Field theory, however the related self-consistent problem so far has only been able to predict a partial suppression…

Strongly Correlated Electrons · Physics 2021-10-04 Alain M. Dikande , C. Bourbonnais

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

In the present paper, the impact of small Fermi energy on the selected parameters of the superconducting state in Ba$_{1-x}$K$_{x}$BiO$_{3}$ (BKBO) is studied at $x \in (0.3, 0.4, 0.5)$. This is done by employing the adiabatic and…

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 develop the theory of the non-adiabatic phonon self-energy arising from coupling to electrons with finite linewidths using the spectral representation of Green's functions. Our formalism naturally includes the contribution from the…

Materials Science · Physics 2025-09-18 Cheol-Hwan Park

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…

Coupling between electrons and phonons (lattice vibrations) drives the formation of the electron pairs responsible for conventional superconductivity. The lack of direct evidence for electron-phonon coupling in the electron dynamics of the…

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

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

The polaron features for long-range electron-phonon interaction are investigated by extending a variational approach previously proposed for the study of systems with local coupling. The ground-state spectral weight, the average kinetic…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , V. Cataudella , G. De Filippis

We develop a nonadiabatic theory of phonon magnetic moments applicable to both insulators and metals. By relating the phonon magnetic moment to the force-velocity response of ions in a magnetic field, we derive a gauge-invariant expression…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Haoran Chen , Wenqin Chen , Kaijie Yang , Ting Cao , Di Xiao

We extend a recently introduced semiclassical approach to calculating the influence of local lattice fluctuations on electronic properties of metals and metallic molecular crystals. The effective action of electrons in degenerate orbital…

Strongly Correlated Electrons · Physics 2009-11-10 Stefan Blawid , Gertrud Zwicknagl

The coupling of electronic and vibrational motion is studied by two canonical transformations namely normal coordinate transformation and momentum transformation on molecular Hamiltonian. It is shown that by these transformations we can…

Chemical Physics · Physics 2007-05-23 Ivan Hubac , Peter Babinec , Martin Polasek , Jan Urban , Pavel Mach , Jozef Masik , Jerzy Leszczynski

We develop the nonadiabatic polaron theory of superconductivity of $M_{x}C_{60}$ taking into account the polaron band narrowing and realistic electron-phonon and Coulomb interactions. We argue that the crossover from the BCS weak-coupling…

Condensed Matter · Physics 2009-10-28 A. S. Alexandrov , V. V. Kabanov

The combined quantum electron-nuclear dynamics is often associated with the Born-Huang expansion of the molecular wave function and the appearance of nonadiabatic effects as a perturbation. On the other hand, native multicomponent…

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