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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

An accurate and consistent theory of phonons in metals requires that all long-range Coulomb interactions between charged particles (electrons and ions) be treated on equal footing. So far, all attempts to deal with this non-perturbative…

Strongly Correlated Electrons · Physics 2016-11-02 Igor S. Tupitsyn , Andrey S. Mishchenko , Naoto Nagaosa , Nikolay Prokof'ev

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani

We derive an effective electronic Hamiltonian for square lattice Hubbard-Holstein model (HHM) in the strong electron-electron (e-e) and electron-phonon (e-ph) coupling regime and under non-adiabatic conditions ($t/\omega_0 \leq 1$), $t$ and…

Strongly Correlated Electrons · Physics 2018-06-13 Sahinur Reja , Satoshi Nishimoto

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

We present a theoretical description of the coupling between longitudinal optical phonons and collective excitations of a two-dimensional electron gas. By diagonalizing the Hamiltonian of the system, including Coulomb electron-electron and…

Mesoscale and Nanoscale Physics · Physics 2020-02-21 Sofia Ribeiro , Angela Vasanelli , Yanko Todorov , Carlo Sirtori

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

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis

We present an algorithm that extends existing quantum algorithms for simulating fermion systems in quantum chemistry and condensed matter physics to include bosons in general and phonons in particular. We introduce a qubit representation…

Quantum Physics · Physics 2020-10-30 Alexandru Macridin , Panagiotis Spentzouris , James Amundson , Roni Harnik

We investigate the periodic Anderson-Holstein model by using the dynamical mean-field theory combined with the exact diagonalization method. For the strong electron-phonon coupling $g\simg g_c$, the system shows an anomalous heavy-fermion…

Strongly Correlated Electrons · Physics 2009-11-11 Keisuke Mitsumoto , Yoshiaki Ono

We calculate the conductance through strongly correlated T-shaped molecular or quantum dot systems under the influence of phonons. The system is modelled by the extended Anderson-Holstein Hamiltonian. The finite-U mean-field slave boson…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 P. Florków , S. Lipiński

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

The interplay of electron-electron and electron-phonon interactions is studied analytically in the Kondo regime. A Holstein electron-phonon coupling is shown to produce a weakening of the gate voltage dependence of the Kondo temperature and…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Balseiro , P. S. Cornaglia , D. R. Grempel

We study the isotope effects arising from the coupling of correlated electrons with dispersionless phonons by considering the Hubbard-Holstein model at half-filling within the dynamical mean-field theory. In particular we calculate the…

Strongly Correlated Electrons · Physics 2007-08-08 P. Paci , M. Capone , E. Cappelluti , S. Ciuchi , C. Grimaldi

The effect of Holstein electron-phonon interaction on a Hubbard model close to a Mott-Hubbard transition at half-filling is investigated by means of Dynamical Mean-Field Theory. We observe a reduction of the effective mass that we interpret…

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

The Holstein model has been widely accepted as a model comprising electrons interacting with phonons; analysis of this model's ground states was accomplished two decades ago. However, the results were obtained without completely taking…

Mathematical Physics · Physics 2016-05-10 Tadahiro Miyao

The anharmonic electron-phonon problem is solved in the infinite-dimensional limit using quantum Monte Carlo simulation. Charge-density-wave order is seen to remain at half filling even though the anharmonicity removes the particle-hole…

Condensed Matter · Physics 2009-10-28 J. K. Freericks , Mark Jarrell , G. D. Mahan

The Quantum Monte Carlo simulations of the ionic Hubbard model on a two-dimensional square lattice at half filling were performed. The method based on the direct-space, proposed by Suzuki and al., Hirsch and al., was used. Cycles of…

Strongly Correlated Electrons · Physics 2010-02-02 Bernard Martinie

Recent work on an electron-phonon model in two-dimensions is reviewed and some new results are presented. We utilize both Quantum Monte Carlo simulations and Migdal-Eliashberg theory. The type of electron-ion coupling considered is on-site.…

Superconductivity · Physics 2021-01-29 F. Marsiglio