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Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

The magnon-phonon coupling has received growing attention in recent years due to its central role in spin caloritronics and the emerging field of acoustic spintronics. At resonance, this magnetoelastic interaction drives the formation of…

Mathematical Physics · Physics 2021-11-02 Tor Jonas Sjöstrand , Ferdi Aryasetiawan

In polar insulators where longitudinal and transverse optical phonon modes differ substantially, the electron-phonon coupling affects the energy-band structure primarily through the long-range Fr\"ohlich contribution to the Fan term. This…

Materials Science · Physics 2017-09-27 Walter R. L. Lambrecht , Churna Bhandari , Mark van Schilfgaarde

We introduce a variational wave-function to study the polaron formation when the electronic transfer integral depends on the relative displacement between nearest-neighbor sites giving rise to a non-local electron-phonon coupling with…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , E. Piegari , M. Capone , V. Cataudella

The properties of an electron in a typical solid are modified by the interaction with the crystal ions, leading to the formation of a quasiparticle: the polaron. Such polarons are often described using the Fr\"ohlich Hamiltonian, which…

Superconductivity · Physics 2021-05-12 Matthew Houtput , Jacques Tempere

We study a highly imbalanced Fermi gas in a one-dimensional optical lattice from the polaronic point of view. The time-evolving block decimationg algorithm is used to calculate the ground state and dynamics of the system. We find…

The effect of inclusion of the planar phonon anisotropy on thermo-electrical behavior of graphene is analyzed. Charge transport is simulated by means of Direct Simulation Monte Carlo technique coupled with numerical solution of the phonon…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 Marco Coco

We propose a new optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of this approach by calculating the phase…

Strongly Correlated Electrons · Physics 2007-05-23 A. Weisse , H. Fehske , G. Wellein , A. R. Bishop

We study a three-orbital Su-Schrieffer-Heeger model defined on a two-dimensional Lieb lattice and in the negative charge transfer regime using determinant quantum Monte Carlo. At half-filling (1 hole/unit cell), we observe a bipolaron…

Materials Science · Physics 2020-06-22 Shaozhi Li , Steven Johnston

We apply the diagrammatic Monte Carlo approach to three-dimensional Fermi-polaron systems with mass-imbalance, where an impurity interacts resonantly with a noninteracting Fermi sea whose atoms have a different mass. This method allows to…

Quantum Gases · Physics 2015-04-23 Peter Kroiss , Lode Pollet

Phonon measurements in the A15-type superconductors were complicated in the past because of the unavailability of large single crystals for inelastic neutron scattering, e.g., in the case of Nb$_3$Sn, or unfavorable neutron scattering…

Superconductivity · Physics 2019-04-19 A. Sauer , D. A. Zocco , A. H. Said , R. Heid , A. Böhmer , F. Weber

The translationally invariant diagrammatic quantum perturbation theory (TPT) is applied to the polaron problem on the 1D lattice, modeled through the Holstein Hamiltonian with the phonon frequency omega0, the electron hopping t and the…

Strongly Correlated Electrons · Physics 2009-11-11 O. S. Barisic , S. Barisic

We calculate the lattice dielectric function of strongly anharmonic rutile $\mathrm{TiO}_2$ from ab initio anharmonic lattice dynamics methods. Since an accurate calculation of the $\Gamma$ point phonons is essential for determining optical…

Materials Science · Physics 2023-03-24 Tomohito Amano , Tamio Yamazaki , Ryosuke Akashi , Terumasa Tadano , Shinji Tsuneyuki

The cross over from low to high carrier densities in a many-polaron system is studied in the framework of the one-dimensional spinless Holstein model, using unbiased numerical methods. Combining a novel quantum Monte Carlo approach and…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hohenadler , D. Neuber , W. von der Linden , G. Wellein , J. Loos , H. Fehske

We employ the diagrammatic Monte Carlo method based on lattice path-integral representaion of the particle sector and real-space diagrammatics of the phonon sector to study effects of optical phonon dispersion on Bose-Einstein condensation…

Strongly Correlated Electrons · Physics 2024-09-24 Chao Zhang , Nikolay Prokof'ev , Boris Svistunov

The thermodynamic and spectral properties of electrons coupled to quantum phonons are studied within the spinless Holstein model. Using quantum Monte Carlo simulations, we obtain accurate results for the specific heat and the…

Strongly Correlated Electrons · Physics 2018-12-12 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

The polaron concept captures physical situations involving an itinerant quantum particle (excitation) that interacts strongly with bosonic degrees of freedom and becomes heavily boson-dressed. While the Gerlach-L\"{o}wen theorem rules out…

Quantum Physics · Physics 2020-04-08 Vladimir M. Stojanovic

The paper presents our verification of induction of the superconducting state on a square lattice by the linear electron-phonon interaction for values of the unbalance parameter ($\gamma=\lambda_{D}/\lambda_{ND}$) less than…

Superconductivity · Physics 2019-09-26 K. A. Szewczyk , M. W. Jarosik , A. P. Durajski , R. Szczȩśniak

The electronic structure of condensed matter can be significantly affected by the electron-phonon interaction, leading to important phenomena such as electrical resistance, superconductivity or the formation of polarons. This interaction is…