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Non-diagonal couplings to a bosonic bath completely change polaronic dynamics, from the usual diagonally-coupled paradigm of smoothly-varying properties. We study, using analytic and numerical methods, a model having both diagonal Holstein…

Strongly Correlated Electrons · Physics 2017-01-18 Dominic J. J. Marchand , Philip C. E. Stamp , Mona Berciu

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

Determining the range of validity of Migdal's approximation for electron-phonon ($e$-ph) coupled systems is a long-standing problem. Many attempts to answer this question employ the Holstein Hamiltonian, where the electron density couples…

Superconductivity · Physics 2020-08-28 Philip M. Dee , Jennifer Coulter , Kevin Kleiner , Steven Johnston

We analyze fulleride superconductivity at experimental doping levels, treating the electron-electron and electron-phonon interactions on an equal footing, and establish the existence of novel physics which helps explain the unusually high…

Strongly Correlated Electrons · Physics 2007-05-23 J. E. Han , O. Gunnarsson , V. H. Crespi

We investigate the dynamical effects of pairing interaction on superconductivity in BCS-BEC crossover by studying the Holstein model at half-filling where the electron-phonon coupling $g$ controls the crossover. The dynamical mean-field…

Superconductivity · Physics 2019-05-15 Tae-Ho Park , Han-Yong Choi

Employing unbiased sign-problem-free quantum Monte Carlo, we investigate the effects of long-range Coulomb forces on BEC of bipolarons using a model of bond phonon-modulated electron hopping. In absence of long-range repulsion, this model…

Superconductivity · Physics 2023-12-19 J. Sous , C. Zhang , M. Berciu , D. R. Reichman , B. V. Svistunov , N. V. Prokof'ev , A. J. Millis

An exact diagonalization technique is used to investigate the low-lying excited polaron states in the Holstein model for the infinite one-dimensional lattice. For moderate values of the adiabatic ratio, a new and comprehensive picture,…

Condensed Matter · Physics 2009-11-07 Osor S. Barisic

Superfluid helium, describable by a two-component order parameter, exhibits only the Bogolubov mode with energy $\to 0$ at long wavelengths, while a Lorentz-invariant theory with a two-component order parameter exhibits a finite energy mode…

Statistical Mechanics · Physics 2007-05-23 C. M. Varma

We present simple qualitative estimates for the maximal superconducting transition temperature, which may be achieved due to electron - phonon coupling in Eliashberg-McMillan theory. It is shown that in the limit of very strong coupling the…

Superconductivity · Physics 2025-04-15 M. V. Sadovskii

The density driven Mott transition is studied by means of Dynamical Mean-Field Theory in the Hubbard-Holstein model, where the Hubbard term leading to the Mott transition is supplemented by an electron-phonon (e-ph) term. We show that an…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , G. Sangiovanni , C. Castellani , C. Di Castro , M. Grilli

We derive an effective polaronic interaction Hamiltonian, {\it exact to second order in perturbation}, for the spinless one-dimensional Holstein model. The small parameter is given by the ratio of the hopping term ($t$) to the polaronic…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjoy Datta , Arnab Das , Sudhakar Yarlagadda

We study, at zero temperature, the dynamics of a single electron in a Holstein model augmented by site-diagonal, binary-alloy type disorder. The average over the phonon vacuum and the alloy configurations is performed within a generalized…

Strongly Correlated Electrons · Physics 2009-11-07 F. X. Bronold , A. Saxena , A. R. Bishop

Superconducting systems based on attractive electron-phonon interactions are the ones which are best understood at a fundamental level. They are well described using Eliashberg theory, which, unlike BCS theory, explicitly takes into account…

Superconductivity · Physics 2025-05-28 Ingvar Zappacosta , Matthew Houtput , Jacques Tempere

We study the effects of Kohn anomalies on the superconducting properties in electron- and hole-doped cases of monolayer blue phosphorene, considering both adiabatic and non-adiabatic phonon dispersions using first-principles calculations.…

Superconductivity · Physics 2022-10-05 Mohammad Alidoosti , Davoud Nasr Esfahani , Reza Asgari

We investigate the low-energy properties of the Holstein polaron through calculation of the q-dependent phonon spectral function using an improved exact-diagonalization technique, defined over a variational Hilbert space. We perform a…

Other Condensed Matter · Physics 2010-09-28 Lev Vidmar , Janez Bonca , Stuart A. Trugman

We provide a comprehensive solution to the lattice dynamics problem in the two dimensional Holstein model at finite electron density and finite temperature. We work in the physically relevant adiabatic regime and vary the electron-phonon…

Strongly Correlated Electrons · Physics 2020-02-12 Sauri Bhattacharyya , Saurabh Pradhan , Pinaki Majumdar

On a basis of earlier substantiated expression for effective potential of electron-electron attraction in metals the assumption of an opportunity of formation of classically bound pairs is put forward. It was shown that in distinction from…

Superconductivity · Physics 2007-05-23 I. M. Yurin , V. B. Kalinin

A Bose--Einstein condensate of exciton polaritons coexisting with a Fermi gas of electrons has been recently proposed as a promising system for realisation of room-temperature superconductivity [Phys. Rev. Lett., 104, 106402 (2010)]. In…

Superconductivity · Physics 2015-03-18 F. P. Laussy , T. Taylor , I. A. Shelykh , A. V. Kavokin

The electron-phonon interaction corresponding to the Holstein model (with Coulomb repulsion) is simulated in infinite dimensions using a novel quantum Monte Carlo algorithm. The thermodynamic phase diagram includes commensurate…

Condensed Matter · Physics 2007-05-23 J. K. Freericks , Mark Jarrell

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann
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