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The Hubbard-Holstein model describes fermions on a discrete lattice, with on-site repulsion between fermions and a coupling to phonons that are localized on sites. Generally, at half-filling, increasing the coupling $g$ to the phonons…

Strongly Correlated Electrons · Physics 2019-02-07 F. Hébert , Bo Xiao , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We investigate the possibility of using a transcorrelated Hamiltonian to describe electron correlation. Amethod to obtain transcorrelatedwavefunctionswas developed based on the mathematical framework of the bi-variational principle. This…

Chemical Physics · Physics 2024-07-23 Nicholas Lee , Alex J. W. Thom

We extend a recently introduced semiclassical approach to calculating the influence of local lattice fluctuations on electronic properties of metals and metallic molecular crystals. The effective action of electrons in degenerate orbital…

Strongly Correlated Electrons · Physics 2009-11-10 Stefan Blawid , Gertrud Zwicknagl

We describe a quantum simulator for the Hubbard--Holstein model (HHM), comprising two dressed Rydberg atom species held in a monolayer by independent painted potentials, predicting that boson-mediated preformed pairing, and…

Quantum Physics · Physics 2020-09-30 J. P. Hague , P. Kornilovitch , C. MacCormick

The traditional picture of heat transfer in solids by atomic vibrations, also known as phonons, involves phonons scattering with each other like gas particles and is commonly referred to as the phonon gas model (PGM). This physical picture…

Materials Science · Physics 2021-08-11 Andrew Rohskopf , Ruiyang Li , Tengfei Luo , Asegun Henry

The results of a comparative study of electronic spectral properties as well as phonon Probability Distribution Function (PDF) are reported. The study is done using Dynamical Mean Field Theory for the half-filled spinless and spinful…

Strongly Correlated Electrons · Physics 2007-05-23 S. Ciuchi , M. Capone , E. Cappelluti , G. Sangiovanni

We solve for the finite temperature collective mode dynamics in the Holstein-double exchange problem, using coupled Langevin equations for the phonon and spin variables. We present results in a strongly anharmonic regime, close to a…

Strongly Correlated Electrons · Physics 2020-03-30 Sauri Bhattacharyya , Sankha Subhra Bakshi , Saurabh Pradhan , Pinaki Majumdar

The Holstein model often serves as an archetype for electron-phonon interactions and polaron formation in solids. However, precise descriptions of the Holstein polaron are difficult when the phonon frequency is small and the electron-phonon…

Strongly Correlated Electrons · Physics 2026-03-10 Connor M. Walsh , Igor Boettcher , Frank Marsiglio

Using the momentum average approximation we study the importance of adding higher-than-linear terms in the electron-phonon coupling on the properties of single polarons described by a generalized Holstein model. For medium and strong linear…

Strongly Correlated Electrons · Physics 2013-06-13 C. P. J. Adolphs , M. Berciu

We study the Holstein model of spinless fermions, which at half-filling exhibits a quantum phase transition from a metallic Tomonaga-Luttinger liquid phase to an insulating charge-density-wave (CDW) phase at a critical electron-phonon…

Strongly Correlated Electrons · Physics 2020-01-31 Jan Stolpp , Jacek Herbrych , Florian Dorfner , Elbio Dagotto , Fabian Heidrich-Meisner

We propose the implementation of the Holstein model by means of digital methods in a linear chain of trapped ions. We show how the simulation fidelity scales with the generation of phononic excitations. We propose a decomposition and a…

Quantum Physics · Physics 2015-06-05 A. Mezzacapo , J. Casanova , L. Lamata , E. Solano

The equation of motion method (EOM) is one of the approximations to calculate transport coefficients of interacting electron systems. The method is known to be useful to examine high-temperature properties. However, sometimes a naive…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Oguri

We investigate the full-counting statistics (FCS) of energy transport carried by electrons in molecular junctions for the Anderson-Holstein model in the polaronic regime. Using two-time quantum measurement scheme, generating function (GF)…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Gaomin Tang , Zhizhou Yu , Jian Wang

Using a controlled analytic non-perturbative treatment, that accounts for the quantum nature of the phonons, we derive a model that generically describes cooperative breathing-mode at strong electron-phonon interaction in one-band…

Strongly Correlated Electrons · Physics 2015-06-04 Ravindra Pankaj , Sudhakar Yarlagadda

A well-known approach to describe the dynamics of an open quantum system is to compute the master equation evolving the reduced density matrix of the system. This approach plays an important role in describing excitation transfer through…

Quantum Physics · Physics 2022-10-25 Kimara Naicker , Ilya Sinayskiy , Francesco Petruccione

We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Moskalenko , P. Entel , M. Marinaro , D. F. Digor

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

We investigate numerically various properties of the one-dimensional (1D) breathing-mode polaron. We use an extension of a variational scheme to compute the energies and wave-functions of the two lowest-energy eigenstates for any momentum,…

Materials Science · Physics 2011-09-14 Bayo Lau , Mona Berciu , George A. Sawatzky

We investigate the Holstein mechanism in a single-electron (one-site) system, where unitary evolution intrinsically involves both fermion and boson operators under nonadiabatic conditions. The resulting unitary dynamics and boson-frequency…

Disordered Systems and Neural Networks · Physics 2025-12-02 Chen-Huan Wu

Charge-density wave phases in quantum materials stem from the complex interplay of electronic and lattice degrees of freedom. Nowadays, various time-resolved spectroscopy techniques allow to actively manipulate such phases and monitor their…

Strongly Correlated Electrons · Physics 2024-05-14 Eva Paprotzki , Alexander Osterkorn , Vibhu Mishra , Stefan Kehrein