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The Hubbard-Holstein model is studied including double-exchange interaction and superexchange interaction using a variational phonon basis obtained through the modified Lang-Firsov (MLF) transformation followed by the squeezing…

Condensed Matter · Physics 2009-11-10 Jayita Chatterjee , A. N. Das

The Holstein Molecular Crystal Model is investigated by a strong coupling perturbative method which, unlike the standard Lang-Firsov approach, accounts for retardation effects due to the spreading of the polaron size. The effective mass is…

Superconductivity · Physics 2009-11-27 Marco Zoli

Building on the recent success of a quantum-classical method for computing transport properties in the Holstein model with a single phonon mode [P. Mitri\'c et al., Phys. Rev. B ${\bf 111}$, L161105 (2025)], we now assess its reliability in…

Strongly Correlated Electrons · Physics 2026-04-08 Darko Tanasković , Maksim Makrushin , Petar Mitrić

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 probing of coherent lattice vibrations in solids has been conventionally carried out using time-resolved transient spectroscopy where only the relative oscillation amplitude can be obtained. Using time-resolved X-ray techniques,…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Jicai Zhang , Ziwen Wang , Frank Lengers , Daniel Wigger , Doris E. Reiter , Tilmann Kuhn , Hans Jakob Wörner , Tran Trung Luu

We study the hybrid excitations due to the coupling between surface optical phonons of a polar insulator substrate and plasmons in the valley-spin-polarized metal phase of silicene under an exchange field. We perform the calculations within…

Mesoscale and Nanoscale Physics · Physics 2018-11-30 M. Mirzaei , T. Vazifehshenas , T. Salavati-fard , M. Farmanbar , B. Tanatar

Simulations of lattice particle - phonon systems are fundamentally restricted by the exponential growth of the number of quantum states with the lattice size. Here, we demonstrate an algorithm that constructs the lowest eigenvalue and…

Quantum Physics · Physics 2025-02-10 Elham Torabian , Roman V. Krems

The role of the electron-phonon interaction in the Holstein-Hubbard model is investigated in the metallic phase close to the Mott transition and in the insulating Mott phase. The model is studied by means of a variational slave boson…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , V. Cataudella , G. De Filippis , V. Marigliano Ramaglia

A formalism for incorporating electron-phonon scattering into the nonequilibrium Green's function (NEGF) framework that is applicable to planar MOSFETs is presented. Restructuring the NEGF equations in terms of approximate summation of…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Himadri S. Pal , Dmitri E. Nikonov , Raseong Kim , Mark S. Lundstrom

The electron-phonon interaction in monolayer graphene is investigated by using density functional perturbation theory. The results indicate that the electron-phonon interaction strength is of comparable magnitude for all four in-plane…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. M. Borysenko , J. T. Mullen , E. A. Barry , S. Paul , Y. G. Semenov , J. M. Zavada , M. Buongiorno Nardelli , K. W. Kim

We propose an electron-phonon parameterization which reliably reproduces the geometry and harmonic frequencies of a real system. With respect to standard electron-phonon models, it adds a "double-counting" correction, which takes into…

Strongly Correlated Electrons · Physics 2015-03-19 Gianluca Giovannetti , Michele Casula , Philipp Werner , Francesco Mauri , Massimo Capone

The interaction between electrons and lattice vibrations determines key physical properties of materials, including their electrical and heat transport, excited electron dynamics, phase transitions, and superconductivity. We present a new…

Materials Science · Physics 2018-07-04 Luis A. Agapito , Marco Bernardi

We present recent advances in understanding of the ground and excited states of the electron-phonon coupled systems obtained by novel methods of Diagrammatic Monte Carlo and Stochastic Optimization, which enable the approximation-free…

Strongly Correlated Electrons · Physics 2015-05-13 A. S. Mishchenko , N. Nagaosa

Ground-state and dynamical properties of the 2D Holstein t-J model are examined by means of direct Lanczos diagonalization, using a truncation method of the phononic Hilbert space. The single-hole spectral function shows the formation of a…

Condensed Matter · Physics 2016-08-31 H. Fehske , G. Wellein , B. Bäuml , H. Büttner

An interacting electron-phonon system is considered within the Extended Holstein model at strong coupling regime and nonadiabatic approximation. It is assumed that screening of an electron-phonon interaction is due to the excess electrons…

Strongly Correlated Electrons · Physics 2013-08-13 B. Ya. Yavidov

A path-integral approach to lattice polarons is developed. The method is based on exact analytical elimination of phonons and subsequent Monte Carlo simulation of self-interacting fermions. The analytical basis of the method is presented…

Strongly Correlated Electrons · Physics 2015-06-25 Pavel Kornilovitch

We use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the…

Strongly Correlated Electrons · Physics 2011-02-11 Zhou Li , Carl J. Chandler , F. Marsiglio

We propose a fully $ \textit{ab initio} $ approach to predicting thermal attenuation in elastic helium atom scattering amplitudes, validated through strong agreement with experiments on Nb(100) and (3$\times$1)-O/Nb(100) surfaces. Our…

Materials Science · Physics 2024-12-17 Cristóbal Méndez , C. J. Thompson , M. F. Van Duinen , S. J. Sibener , Tomás A. Arias

We examine the range of validity of the second-order cumulant expansion (CE) for the calculation of spectral functions, quasiparticle properties, and mobility of the Holstein polaron. We devise an efficient numerical implementation that…

Strongly Correlated Electrons · Physics 2023-05-01 Petar Mitrić , Veljko Janković , Nenad Vukmirović , Darko Tanasković

Non-local, inhomogeneous and retarded response observed in experiments is reproduced by introducing the Inhomogeneous Momentum Average (IMA) method to study single polaron problems with disorder in the on-site potential and/or spatial…

Strongly Correlated Electrons · Physics 2015-05-13 Mona Berciu , Andrei S. Mishchenko , Naoto Nagaosa
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