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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

We use the Momentum Average approximation together with perturbative approaches, in the appropriate limits, to study the single polaron physics on a perovskite lattice inspired by BaBiO3. We investigate electron-phonon coupling of the…

Strongly Correlated Electrons · Physics 2021-01-04 Yau-Chuen Yam , Mirko M. Moeller , George A. Sawatzky , Mona Berciu

The Holstein model of spinless fermions interacting with dispersionless phonons in one dimension is studied by a Green's function Monte Carlo technique. The ground state energy, first fermionic excited state, density wave correlations, and…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie , C. J. Hamer , D. W. Murray

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 numerically and analytically calculate the properties of the bipolaron in an extended Hubbard Holstein model, which has a longer range electron-phonon coupling like the Fr\" ohlich model. In the strong coupling regime, the effective mass…

Strongly Correlated Electrons · Physics 2009-11-07 J. Bonca , S. A. Trugman

We present a novel, highly efficient yet accurate analytical approximation for the Green's function of a Holstein polaron. It is obtained by summing all the self-energy diagrams, but with each self-energy diagram averaged over the momenta…

Strongly Correlated Electrons · Physics 2009-11-11 Glen L. Goodvin , Mona Berciu , George A. Sawatzky

The effect of a solid-vacuum interface on the properties of a strongly coupled electron-phonon system is analyzed using dynamical mean-field theory to solve the Holstein model in a semi-infinite cubic lattice. Polaron formation is found to…

Strongly Correlated Electrons · Physics 2015-05-13 Reza Nourafkan , Massimo Capone , Nasser Nafari

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

The properties of the polaron and bipolaron are explored in the 1D Jahn-Teller model with dynamical quantum phonons. The ground-state properties of the polaron and bipolaron are computed using a recently developed variational method.…

Strongly Correlated Electrons · Physics 2009-11-07 S. El Shawish , J. Bonca , Li-Chung Ku , S. A. Trugman

In most cases, as the strength of electron-phonon coupling increases, the effective mass of polarons typically increases. However, in this paper, we uncover a fascinating phenomenon: the presence of light polarons even within the strong…

Strongly Correlated Electrons · Physics 2024-04-10 Chao Zhang

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

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

The one-dimensional Holstein model of spinless fermions interacting with dispersionless phonons is studied using a new variant of the density matrix renormalisation group. By examining various low-energy excitations of finite chains, the…

Condensed Matter · Physics 2009-10-31 R. J. Bursill , R. H. McKenzie , C. J. Hamer

Thermodynamic properties of the square-lattice Holstein model of the electron-phonon problem with phonon frequencies small compared to the bare Fermi energy are obtained using Monte Carlo methods, a strong-coupling (bipolaronic) expansion,…

Strongly Correlated Electrons · Physics 2019-05-29 Ilya Esterlis , Steven Kivelson , Douglas Scalapino

The Holstein Hamiltonian describes itinerant electrons whose site density couples to local phonon degrees of freedom. In the single site limit, at half-filling, the electron-phonon coupling results in a double well structure for the lattice…

Strongly Correlated Electrons · Physics 2023-08-10 C. Kvande , C. Feng , F. Hébert , G. G. Batrouni , R. T. Scalettar

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

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

Polarons are quasiparticles formed as a result of lattice distortions induced by charge carriers. The single-electron Holstein model captures the fundamentals of single polaron physics. We examine the power of the exponential ansatz for the…

Materials Science · Physics 2024-06-03 Junjie Yang , Zhi-Hao Cui , Ankit Mahajan , Huanchen Zhai , David R. Reichman , Garnet Kin-Lic Chan

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 interplay of charge, spin and lattice degrees of freedom is studied for quasi-one-dimensional electron and spin systems coupled to quantum phonons. Special emphasis is put on the influence of the lattice dynamics on the Peierls…

Strongly Correlated Electrons · Physics 2009-10-31 Holger Fehske , Michael Holicki , Alexander Weiße
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