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The spectral response and physical features of the 2D Hubbard-Holstein model are calculated both in equilibrium at zero and low chemical dopings, and after an ultra short powerful light pulse, in undoped systems. At equilibrium and at…

Strongly Correlated Electrons · Physics 2015-06-05 G. De Filippis , V. Cataudella , E. A. Nowadnick , T. P. Devereaux , A. S. Mishchenko , N. Nagaosa

We present in full detail a newly developed formalism enabling density functional perturbation theory (DFPT) calculations from a DFT+$U$ ground state. The implementation includes ultrasoft pseudopotentials and is valid for both insulating…

Strongly Correlated Electrons · Physics 2020-02-21 Andrea Floris , Iurii Timrov , Burak Himmetoglu , Nicola Marzari , Stefano de Gironcoli , Matteo Cococcioni

We analyze the global ground-state (quantum) phase diagram of the one-dimensional Holstein model at half-filling as a function of the strength of the electron-phonon coupling (represented by the strength of the phonon-induced attraction,…

Strongly Correlated Electrons · Physics 2023-02-28 Sijia Zhao , Zhaoyu Han , Ilya Esterlis , Steven A. Kivelson

We present the results of Quantum Monte Carlo calculations for a two dimensional frustrated Hubbard model coupled to bond phonons. The model is known to have a d-wave superconducting ground state in the limit of large phonon frequency for…

Strongly Correlated Electrons · Physics 2020-04-08 R. T. Clay , D. Roy

We present a density functional theory (DFT) for lattice models with local electron-electron (e-e) and electron-phonon (e-ph) interactions. Exchange-correlation potentials are derived via dynamical mean field theory for the…

Strongly Correlated Electrons · Physics 2019-09-04 E. Viñas Boström , P. Helmer , P. Werner , C. Verdozzi

We investigate an energy flow in an extended Holstein model describing electron systems coupled to hot-phonons and heat-bath phonons. To analyze the relaxation process after the photo-excitation of electrons, we employ the nonequilibrium…

Strongly Correlated Electrons · Physics 2023-11-07 Ken Inayoshi , Akihisa Koga , Yuta Murakami

Using a computationally inexpensive frozen phonon approach we have developed a technique which can be used to screen large unit cell materials and systems for enhanced superconducting critical temperatures. The method requires only density…

Superconductivity · Physics 2024-05-07 Oliver A. Dicks , Kateryna Foyevtsova , Ilya Elfimov , Rohit Prasankumar , George Sawatzky

We describe an approach for calculations of phonon contributions to the electron spectral function, including both quasiparticle properties and satellites. The method is based on a cumulant expansion for the retarded one-electron Green's…

Materials Science · Physics 2015-06-22 S. M. Story , J. J. Kas , F. D. Vila , M. J. Verstraete , J. J. Rehr

This work reports a theoretical framework that combines the auxiliary coherent potential approximation (ACPA-DMFT) with dynamical mean-field theory to study strongly correlated and disordered electronic systems with both diagonal and…

Strongly Correlated Electrons · Physics 2025-02-12 Zelei Zhang , Jiawei Yan , Li Huang , Youqi Ke

In previous theoretical studies of phonon-mediated superconductors, the electron-phonon coupling is treated by solving the Migdal-Eliashberg equations under the bare vertex approximation, whereas the effect of Coulomb repulsion is…

Superconductivity · Physics 2023-10-24 Jie Huang , Zhao-Kun Yang , Xiao-Yin Pan , Guo-Zhu Liu

Recent work on an electron-phonon model in two-dimensions is reviewed and some new results are presented. We utilize both Quantum Monte Carlo simulations and Migdal-Eliashberg theory. The type of electron-ion coupling considered is on-site.…

Superconductivity · Physics 2021-01-29 F. Marsiglio

The effects of doping on the spectral properties of low doped systems are investigated by means of Coherent Potential Approximation to describe the distributed disorder induced by the impurities and Phonon-Phonon Non-Crossing Approximation…

Materials Science · Physics 2018-06-18 Domenico Di Sante , Sergio Ciuchi

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

We introduce the first bold diagrammatic Monte Carlo approach to deal with polaron problems at finite density non-perturbatively, i.e., by including vertex corrections to high orders. Using Holstein model on a square lattice as a…

Strongly Correlated Electrons · Physics 2015-04-10 Andrey S. Mishchenko , Naoto Nagaosa , Nikolay Prokof'ev

The ab initio computational method known as Hubbard-corrected density functional theory (DFT+$U$) captures well ground electronic structures of a set of solids that are poorly described by standard DFT alone. Since lattice dynamical…

Materials Science · Physics 2025-06-17 Wooil Yang , Sabyasachi Tiwari , Feliciano Giustino , Young-Woo Son

We examine the superconducting solution in the Holstein model, where the conduction electrons couple to the dispersionless Boson fields, using the Migdal-Eliashberg theory and Dynamical Mean Field Theory. Although different in numerical…

Strongly Correlated Electrons · Physics 2016-06-17 Chungwei Lin , Bingnan Wang , Koon Hoo Teo

Using the Quantum Monte Carlo (QMC) technique within frozen-phonon, we studied the effects of the half-breathing O$(\pi,0)$ phonon mode on the ground-state properties of the three-band Peierls-Hubbard model. Our simulations are performed…

Strongly Correlated Electrons · Physics 2007-05-23 Z. B. Huang , W. Hanke , E. Arrigoni

The development of numerical methods capable of simulating realistic materials with strongly correlated electrons, with controllable errors, is a central challenge in quantum many-body physics. Here we describe how a hybrid between…

Strongly Correlated Electrons · Physics 2015-04-23 Alexei A. Kananenka , Emanuel Gull , Dominika Zgid

We have studied the d-wave pairing-instability in the two-dimensional Holstein-Hubbard model at the level of a full fluctuation exchange approximation which treats both Coulomb and electron-phonon (EP) interaction diagrammatically on an…

Superconductivity · Physics 2009-10-30 C. -H. Pao , H. -B. Schüttler

We simulate spectral functions for electron-phonon coupling in a filled band system - far from the asymptotic limit often assumed where the phonon energy is very small compared to the Fermi energy in a parabolic band and the Migdal theorem…

Strongly Correlated Electrons · Physics 2011-09-12 C. N. Veenstra , G. L. Goodvin , M. Berciu , A. Damascelli
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