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We have used an exact diagonalization technique to study the stability of the $t-J$-Holstein and Hubbard-Holstein models under the influence of the electron-phonon interaction. Previous results have been obtained using frozen-phonon…

Condensed Matter · Physics 2009-10-28 A. Greco , A. Dobry

To discuss the interplay of electronic and lattice degrees of freedom in systems with strong Coulomb correlations we have performed an extensive numerical study of the two-dimensional Holstein t-J model. The model describes the interaction…

Strongly Correlated Electrons · Physics 2009-10-31 B. Bäuml , G. Wellein , H. Fehske

We analyze the transport properties of a quantum dot with a harmonic degree of freedom (Holstein phonon) coupled to interacting one-dimensional metallic leads. Using Tomonaga-Luttinger model to describe the interacting leads we construct…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 S. Maier , A. Komnik

The Hubbard-Holstein model is one of the central models that describe the competition between electron-electron and electron-phonon interactions. In one dimension and at half-filling, the interplay between an electronic spin-density wave…

Strongly Correlated Electrons · Physics 2024-12-19 Manuel Weber

We have developed a simulation system for nanoscale high-electron mobility transistors, in which the self-consistent solution of Poisson and Schr\"odinger equations is obtained with the finite element method. We solve the exact set of…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 Hesameddin Ilatikhameneh , Reza Ashrafi , Sina Khorasani

We present a method for simulating the time evolution of one-dimensional correlated electron-phonon systems which combines the time-evolving block decimation algorithm with a dynamical optimization of the local basis. This approach can…

Strongly Correlated Electrons · Physics 2015-12-16 Christoph Brockt , Florian Dorfner , Lev Vidmar , Fabian Heidrich-Meisner , Eric Jeckelmann

We generalize the momentum average (MA) approximation to study the properties of models with momentum-dependent electron-phonon coupling. As in the case of the application of the original MA to the Holstein model, the results are…

Strongly Correlated Electrons · Physics 2009-11-13 Glen L. Goodvin , Mona Berciu

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

Electron transport in periodic quantum dot arrays in the presence of interactions with phonons was investigated using the formalism of nonequilibrium Green's functions. The self-consistent Born approximation was used to model the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Nenad Vukmirović , Zoran Ikonić , Dragan Indjin , Paul Harrison

Recent theories of hot-electron relaxation in dense hydrogen or deuterium are examined in the light of recent molecular-dynamics simulations as well as various theoretical developments within the two-temperature model. The theoretical work…

Statistical Mechanics · Physics 2017-06-07 M. W. C. Dharma-wardana

The Holstein Hubbard and Holstein t--J models are studied for a wide range of phonon frequencies, electron--electron and electron--phonon interaction strengths on finite lattices with up to ten sites by means of direct Lanczos…

Condensed Matter · Physics 2009-10-28 G. Wellein , H. Röder , H. Fehske

The problem of calculating the electron-positively charged particle correlation energy poses a challenge in the field of quantum chemistry beyond the adiabatic approximation. In this study, a toy model called Exotic Harmonium is developed…

Chemical Physics · Physics 2025-04-28 Nahid Sadat Riyahi

This is a series of studies devoted to modeling and solving heat and mass transfer problems occurring in electric contacts where we employ and develop mathematical apparatus along with quantum algorithms for solving moving boundary value…

Computational Physics · Physics 2020-10-13 Merey M. Sarsengeldin , Zuhair M. Nashed

A hierarchical equations of motion (HEOM) based numerical approach is developed for accurate and efficient evaluation of dynamical observables of strongly correlated quantum impurity systems. This approach is capable of describing…

Strongly Correlated Electrons · Physics 2013-01-28 ZhenHua Li , NingHua Tong , Xiao Zheng , Dong Hou , JianHua Wei , Jie Hu , YiJing Yan

The competition and interplay between charge-density wave and superconductivity have become a central subject for quasi-2D compounds. Some of these materials, such as the transition-metal dichalcogenides, exhibit strong electron-phonon…

Strongly Correlated Electrons · Physics 2022-04-13 Maykon V. Araújo , José P. de Lima , Sandro Sorella , Natanael C. Costa

Simulating electron-phonon interactions on quantum computers remains challenging, with most algorithmic effort focused on Hamiltonian simulation and circuit optimization. In this work, we study the single-electron Holstein model and propose…

Quantum Physics · Physics 2025-12-19 Arnab Adhikary , S. E. Skelton , Alberto Nocera , Mona Berciu

The electrons and phonons in metal films after ultra-short pulse laser heating are in highly non-equilibrium states not only between the electron sub-system and the phonon sub-system but also within the electron sub-system. An…

Materials Science · Physics 2014-08-05 Jun Zhou , Nianbei Li , Ronggui Yang

The single-polaron band structure of the Holstein model in one and two dimensions is studied using a new form of resummed strong-coupling perturbation theory. Well converged results are obtained for phonon frequencies of the order of the…

Condensed Matter · Physics 2007-05-23 Walter Stephan

Interactions between electrons and phonons play a crucial role in quantum materials. Yet, there is no universal method that would simultaneously accurately account for strong electron-phonon interactions and electronic correlations. By…

Strongly Correlated Electrons · Physics 2023-09-06 M. Michael Denner , Alexander Miessen , Haoran Yan , Ivano Tavernelli , Titus Neupert , Eugene Demler , Yao Wang

A new Monte Carlo algorithm for calculating polaron effective mass is proposed. It is based on the path-integral representation of a partial partition function with fixed total quasi-momentum. Phonon degrees of freedom are integrated out…

Condensed Matter · Physics 2009-10-30 P. E. Kornilovitch , E. R. Pike