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The normal state of the Holstein model is studied at half-filling in infinite dimensions and in the adiabatic regime. The dynamical mean-field equations are solved using perturbation expansions around the extremal paths of the effective…

Strongly Correlated Electrons · Physics 2009-10-31 Patrizia Benedetti , Roland Zeyher

We calculate the spectral properties of the one-dimensional Holstein and breathing polarons using the self-consistent Born approximation. The Holstein model electron-phonon coupling is momentum independent while the breathing coupling…

Strongly Correlated Electrons · Physics 2007-05-23 C. Slezak , A. Macridin , G. A. Sawatzky , M. Jarrell , T. A. Maier

I study the lattice dynamics and electron-phonon coupling in non-centrosymmetric quasi-one-dimensional K$_2$Cr$_3$As$_3$ using density functional theory based first principles calculations. The phonon dispersions show stable phonons without…

Superconductivity · Physics 2016-04-13 Alaska Subedi

We address the problem of resistivity saturation observed in materials such as the A-15 compounds. To do so, we calculate the resistivity for the Hubbard-Holstein model in infinite spatial dimensions to second order in on-site repulsion…

Strongly Correlated Electrons · Physics 2019-01-23 E. Perepelitsky , B. S. Shastry

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

The Extended Theory of Finite Fermi Systems is based on the conventional Landau-Migdal theory and includes the coupling to the low-lying phonons in a consistent way. The phonons give rise to a fragmentation of the single-particle strength…

Nuclear Theory · Physics 2008-11-26 V. Tselyaev , J. Speth , F. Gruemmer , S. Krewald , A. Avdeenkov , E. Litvinova , G. Tertychny

The experimental finding of an ubiquitous kink in the nodal direction of angle-resolved photoemission spectroscopies of superconducting cuprates has been reproduced theoretically. Our model is built upon the Migdal-Eliashberg theory for the…

Superconductivity · Physics 2010-05-25 H. S. Ruiz , A. Badía

We investigate the applicability of Migdal--Eliashberg (ME) theory by revisiting Migdal's analysis within the dynamical mean-field theory framework. First, we compute spectral functions, the quasi-particle weight, the self energy,…

Strongly Correlated Electrons · Physics 2008-05-03 J. P. Hague , N. d'Ambrumenil

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

The theoretical investigation of spectral functions and pseudogap in systems with strongly correlated electrons is discussed, with the emphasis on the single-band t-J model as relevant for superconducting cuprates. The evidence for the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Prelovsek , A. Ramsak

The coupling between quasiparticles and bosonic excitations rules the energy transfer pathways in condensed matter systems. The possibility of inferring the strength of specific coupling channels from their characteristic time scales…

We consider models of heavy fermions in the strong coupling or local moment limit and include phonon degrees of freedom on the conduction electrons. Due to the large mass or low coherence temperature of the heavy fermion state, it is shown…

Strongly Correlated Electrons · Physics 2010-03-02 M. Raczkowski , P. Zhang , F. F. Assaad , T. Pruschke , M. Jarrell

We analyze the validity of Eliashberg theory of phonon-mediated superconductivity in 2D systems in light of recent extensive Monte-Carlo studies of the Holstein model. Conventional wisdom says that Eliashberg theory is applicable as long as…

Superconductivity · Physics 2021-07-13 Andrey V. Chubukov , Artem Abanov , Ilya Esterlis , Steven A. Kivelson

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" 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

One of the challenges in many-body physics is determining the effects of phonons on strongly correlated electrons. The difficulty arises from strong correlations at differing energy scales -- for band metals, Migdal-Eliashberg theory…

Strongly Correlated Electrons · Physics 2021-10-08 R. D. Nesselrodt , J. K. Freericks

Migdal's theorem plays a central role in the physics of electron-phonon interactions in metals and semiconductors, and has been extensively studied theoretically for parabolic band electronic systems in three-, two-, and one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Bitan Roy , Jay Deep Sau , S. Das Sarma

We investigate the quasiparticle relaxation and low-energy electronic structure in undoped SrFe_2As_2 exhibiting spin-density wave (SDW) ordering using optical pump-probe femtosecond spectroscopy. A remarkable critical slowing down of the…

Strongly Correlated Electrons · Physics 2010-07-20 L. Stojchevska , P. Kusar , T. Mertelj , V. V. Kabanov , X. Lin , G. H. Cao , Z. A. Xu , D. Mihailovic

We compute the finite-temperature single-particle spectral function of a one-dimensional Luttinger liquid coupled to an optical phonon band. The calculation is performed exactly for the case in which electron-phonon coupling is purely…

Strongly Correlated Electrons · Physics 2007-05-23 Ian P. Bindloss , Steven A. Kivelson

The electron-phonon coupling in potassium-doped graphene on Ir(111) is studied via the renormalization of the pi* band near the Fermi level, using angle-resolved photoemission spectroscopy. The renormalization is found to be fairly weak and…

Mesoscale and Nanoscale Physics · Physics 2010-01-26 M. Bianchi , E. D. L. Rienks , S. Lizzit , A. Baraldi , R. Balog , L. Hornekaer , Ph. Hofmann