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Related papers: Pauli susceptibility of nonadiabatic Fermi liquids

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Pauli paramagnetic susceptibility $\chi$ is unaffected by the electron-phonon interaction in the Migdal-Eliashberg context. Fullerene compounds however do not fulfill the adiabatic assumption of Migdal's theorem and nonadiabatic effects are…

Superconductivity · Physics 2009-11-07 E. Cappelluti , C. Grimaldi , L. Pietronero

We investigate effects of a nonadiabatic electron-phonon(boson) interaction on the quasiparticle self-energy in the lowest order in the coupling constant. Existing approaches either overestimate, or underestimate these effects because of…

Superconductivity · Physics 2009-10-31 O. V. Danylenko , O. V. Dolgov

Fermi energies in fullerene compounds and cuprates are extremely small as consequence of the small number of charge carriers and are comparable to the phonon frequency scale. In this situation the conventional Migdal-Eliashberg theory does…

Superconductivity · Physics 2009-10-31 M. Botti , E. Cappelluti , C. Grimaldi , L. Pietronero

In small Fermi energy metals, disorder can deeply modify superconducting state properties leading to a strong suppression of the critical temperature $T_c$. In this paper, we show that also normal state properties can be seriously…

Superconductivity · Physics 2009-11-07 E. Cappelluti , C. Grimaldi , L. Pietronero

We identify overdamped gauge phonons as a new microscopic route to non-Fermi-liquid behaviour in Dirac materials. These phonons couple to electronic currents rather than densities, thereby realising a lattice analogue of transverse…

Strongly Correlated Electrons · Physics 2026-03-19 Rutvij Gholap , Alexey Ermakov , Alexander Kazantsev , Mohammad Saeed Bahramy , Marco Polini , Alessandro Principi

The nonadiabatic electron-phonon corrections for the superconducting pairing are investigated for a specific tight-binding model corresponding to a 2d square lattice. This permits to investigate the role of various specific properties like…

Superconductivity · Physics 2009-10-31 A. Perali , C. Grimaldi , L. Pietronero

The inclusion of nonadiabatic corrections to the electron-phonon interaction leads to a strong momentum dependence in the generalized Eliashberg equations beyond Migdal's limit. For a s-wave symmetry of the order parameter, this induced…

Superconductivity · Physics 2009-10-31 P. Paci , C. Grimaldi , L. Pietronero

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 solve the anisotropic, full-bandwidth and non-adiabatic Eliashberg equations for phonon-mediated superconductivity by fully including the first vertex correction in the electronic self-energy. The non-adiabatic equations are solved…

Superconductivity · Physics 2020-07-06 Fabian Schrodi , Peter M. Oppeneer , Alex Aperis

Modeling the Pauli energy, the contribution to the kinetic energy caused by Pauli statistics, without using orbitals is the open problem of orbital-free density functional theory. An important aspect of this problem is correctly reproducing…

Chemical Physics · Physics 2024-06-19 Jeremy J. Redd , Antonio C. Cancio

We analyze potential non-analytic terms in the Landau diamagnetic susceptibility, $\chi_{dia}$, at a finite temperature $T$ and/or in-plane magnetic field $H$ in a two-dimensional (2D) Fermi liquid. To do this, we express the diamagnetic…

Strongly Correlated Electrons · Physics 2023-12-06 R. David Mayrhofer , Andrey V. Chubukov

The adiabatic Born-Oppenheimer approximation is considered to be a robust approach that very rarely breaks down. Consequently, it is predominantly utilized to address various electron-phonon properties in condensed matter physics. By…

Superconductivity · Physics 2023-03-01 Nina Girotto , Dino Novko

Physical foundations of adiabatic and nonadiabatic electronics of materials are considered in this article. It is shown the limitation of adiabatic approach to electronics of materials. It is shown that nonadiabatic physical properties of…

Materials Science · Physics 2007-05-23 V. A. Vdovenkov

It is widely believed that in an adiabatic limit a Fermi liquid state of an electron-phonon system described by Migdal-Eliashberg theory remains stable before a dressed phonon softens. Using Holstein model as a prototypical example and…

Strongly Correlated Electrons · Physics 2026-04-22 Nikolay Prokof'ev , Ilya Esterlis , Artem Abanov , Andrey Chubukov

The standard Eliashberg - McMillan theory of superconductivity is essentially based on the adiabatic approximation. Here we present some simple estimates of electron - phonon interaction within Eliashberg - McMillan approach in non -…

Superconductivity · Physics 2020-02-03 M. V. Sadovskii

A detailed analysis is given of the T^2 term in the resistivity observed in electron-doped SrTiO3. Novel bandstructure data are presented, which provide values for the bare mass, density of states, and plasma frequency of the quasiparticles…

Strongly Correlated Electrons · Physics 2011-11-11 D. van der Marel , J. L. M. van Mechelen , I. I. Mazin

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

Paramagnetism or diamagnetism of a material are shown by parallel or antiparallel directions, respectively, of the induced magnetization under the influence of external magnetic field. Theoretical study of paramagnetic susceptibility and…

Strongly Correlated Electrons · Physics 2023-11-15 Adam B. Cahaya

Eliashberg - McMillan theory of superconductivity is essentially based on the adiabatic approximation. Small parameter of perturbation theory is given by $\lambda\frac{\Omega_0}{E_F}\ll 1$, where $\lambda$ is the dimensionless electron -…

Superconductivity · Physics 2019-04-08 M. V. Sadovskii

Presence of magnetism in potentially altermagnetic RuO$_2$ has been a subject of intense debate. Using broadband infrared spectroscopy combined with density-functional band-structure calculations, we show that optical conductivity of…

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