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The weak-coupling quantum phase diagrams of the one-dimensional (1D) Holstein-Hubbard and Peierls-Hubbard models are computed near half-filling, using a multi-step renormalization group technique. If strong enough, the electron-phonon…

Superconductivity · Physics 2007-05-23 Ian P. Bindloss

We investigate the antiadiabatic limit of an antiferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons via a bond coupling. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Raas , Ute Löw , Götz S. Uhrig , Rainer W. Kühne

In this work we study the effects of nonadiabatic external driving on the thermodynamics of an electronic system coupled to two electronic leads and to a phonon mode, with and without damping. In the limit of slow driving, we establish…

Statistical Mechanics · Physics 2022-06-03 Jakob Bätge , Amikam Levy , Wenjie Dou , Michael Thoss

We present a dynamical mean-field study of the nonperturbative electronic mechanisms, which may lead to significant enhancements of the electron-phonon coupling in correlated electron systems. Analyzing the effects of electronic…

Strongly Correlated Electrons · Physics 2026-03-31 Emin Moghadas , Matthias Reitner , Tim Wehling , Giorgio Sangiovanni , Sergio Ciuchi , Alessandro Toschi

I examine electron-phonon mediated superconductivity in the intermediate coupling and phonon frequency regime of the quasi-2D Holstein model. I use an extended Migdal-Eliashberg theory which includes vertex corrections and spatial…

Superconductivity · Physics 2007-05-23 J. P. Hague

We study bipolaron formation and bipolaronic superconductivity on a square lattice, where electrons couple to both local Holstein phonons via on-site charge density and nonlocal bond Su-Schrieffer-Heeger phonons via modulation of hopping…

Superconductivity · Physics 2025-11-11 Chao Zhang

The superconducting state and mechanism are among the least understood phenomena in twisted graphene systems. For instance, recent tunneling experiments indicate a transition between nodal and gapped pairing with electron filling, which is…

Superconductivity · Physics 2023-11-17 Maine Christos , Subir Sachdev , Mathias S. Scheurer

Graphene moire superlattices are outstanding platforms to study correlated electron physics and superconductivity with exceptional tunability. However, robust superconductivity has been measured only in magic-angle twisted bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Young Woo Choi , Hyoung Joon Choi

The nonadiabatic regime of the electron-phonon interaction leads to behaviors of some physical measurable quantities qualitatively different from those expected from the Migdal-Eliashberg theory. Here we identify in the Pauli paramagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 C. Grimaldi , L. Pietronero

The mechanisms for strong electron-phonon coupling predicted for hydrogen-rich alloys with high superconducting critical temperature ($T_c$) are examined within the Migdal-Eliashberg theory. Analysis of the functional derivative of $T_c$…

Superconductivity · Physics 2017-09-28 K. Tanaka , J. S. Tse , H. Liu

The properties of the d-wave superconducting state in the two-dimensional system have been studied. It has been assumed, that the pairing mechanism is based on the electron-phonon and the electron-electron-phonon interactions. The obtained…

Superconductivity · Physics 2012-04-23 R. Szczȩśniak

The properties of the electron-phonon interaction in the presence of a sizable electronic repulsion at finite doping are studied by investigating the metallic phase of the Hubbard-Holstein model with Dynamical Mean Field Theory. Analyzing…

Strongly Correlated Electrons · Physics 2007-08-08 Giorgio Sangiovanni , Massimo Capone , Claudio Castellani

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

A high order series expansion is employed to study the thermodynamical properties of a S=1/2 chain coupled to dispersionless phonons. The results are obtained without truncating the phonon subspace since the series expansion is performed…

Strongly Correlated Electrons · Physics 2007-05-23 Alexander Bühler , Götz S. Uhrig , Jaan Oitmaa

Squeezing of phonons due to the non-linear coupling to electrons is a way to enhance superconductivity as theoretically studied in a recent work [Kennes et al. Nature Physics 13, 479 (2017)]. We study quadratic electron-phonon interaction…

Superconductivity · Physics 2021-12-15 Andrey Grankin , Mohammad Hafezi , Victor M. Galitski

The phonon density-of-states of transition metal diborides TMB2 with TM = Ti, V, Ta, Nb and Y has been measured using the technique of inelastic neutron scattering. The experimental data are compared with ab initio density functional…

Superconductivity · Physics 2009-11-10 R. Heid , B. Renker , H. Schober , P. Adelmann , D. Ernst , K. -P. Bohnen

We study the impact of phonon anharmonicity on the electronic dynamics of soft materials using a nonperturbative quantum-classical approach. The method is applied to a one-dimensional model of doped organic semiconductors with low-frequency…

Materials Science · Physics 2025-09-24 Jonathan H. Fetherolf , Petra Shih , Timothy C. Berkelbach

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston

The interaction between electronic and vibrational degrees of freedom in single-molecule junctions may result from the dependence of the electronic energies or the electronic states of the molecular bridge on the nuclear displacement. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 A. Erpenbeck , R. Härtle , M. Thoss

Nonadiabatic corrections in molecules composed of a few atoms are considered. It is demonstrated that a systematic perturbative expansion around the adiabatic solution is possible, with the expansion parameter being the electron-nucleus…

Chemical Physics · Physics 2009-11-13 Krzysztof Pachucki , Jacek Komasa