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We derive an effective Hamiltonian for the one-dimensional Hubbard-Holstein model, valid in a regime of both strong electron-electron (e-e) and electron-phonon (e-ph) interactions and in the non-adiabatic limit ($t/\omega_0 \leq 1$), by…

Strongly Correlated Electrons · Physics 2015-05-20 Sahinur Reja , Sudhakar Yarlagadda , Peter B. Littlewood

We obtain the phase diagram of the half-filled two-dimensional Hubbard model on a square lattice in the presence of Einstein phonons. We find that the interplay between the instantaneous electron-electron repulsion and electron-phonon…

Strongly Correlated Electrons · Physics 2007-05-23 F. D. Klironomos , S. -W. Tsai

We study the quantum dynamics of small polaron formation and polaron transport through finite quantum structures in the framework of the one-dimensional Holstein model with site-dependent potentials and interactions. Combining Lanczos…

Strongly Correlated Electrons · Physics 2015-05-19 H. Fehske , G. Wellein , A. R. Bishop

The Holstein Model (HM) describes the interaction between fermions and a collection of local (dispersionless) phonon modes. In the dilute limit, the phonon degrees of freedom dress the fermions, giving rise to polaron and bipolaron…

Strongly Correlated Electrons · Physics 2018-12-07 Natanael C. Costa , T. Blommel , W. -T. Chiu , G. G. Batrouni , R. T. Scalettar

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 reexamine the nature of the metallic phase of the one-dimensional half-filled Holstein model of spinless fermions. To this end we determine the Tomonaga-Luttinger-liquid correlation parameter $K_\rho$ by large-scale density-matrix…

Strongly Correlated Electrons · Physics 2015-05-13 S. Ejima , H. Fehske

The Holstein model with dispersionless Einstein phonons is one of the simplest models describing electron-phonon interactions in condensed matter. A naive extrapolation of perturbation theory in powers of the relevant dimensionless…

Strongly Correlated Electrons · Physics 2022-06-23 Niklas Cichutek , Max Hansen , Peter Kopietz

We calculate the spectral function of the one dimensional Hubbard-Holstein model using the time dependent Density Matrix Renormalization Group (tDMRG), focusing on the regime of large local Coulomb repulsion, and away from electronic…

Strongly Correlated Electrons · Physics 2014-11-20 A. Nocera , M. Soltanieh-ha , C. A. Perroni , V. Cataudella , A. E. Feiguin

While the concept of the entanglement spectrum has heretofore been utilized to address various many-body systems, the models describing an itinerant spinless-fermion excitation coupled to zero-dimensional bosons (e.g. dispersionless…

Quantum Physics · Physics 2023-12-04 Vladimir M. Stojanovic

We study the Holstein-Hubbard model at half filling to explore the ordered phases such as the charge density wave and antiferromagnet. The Coulomb interaction is rewritten in terms of auxiliary fields. By treating the auxiliary fields and…

Strongly Correlated Electrons · Physics 2015-10-26 Saurabh Pradhan , G. Venketeswara Pai

The electron-phonon interaction corresponding to the Holstein model (with Coulomb repulsion) is simulated in infinite dimensions using a novel quantum Monte Carlo algorithm. The thermodynamic phase diagram includes commensurate…

Condensed Matter · Physics 2007-05-23 J. K. Freericks , Mark Jarrell

We discuss the nature of the different ground states of the half-filled Holstein model of spinless fermions in 1D. In the metallic regime we determine the renormalised effective coupling constant and the velocity of the charge excitations…

Strongly Correlated Electrons · Physics 2007-05-23 H. Fehske , G. Wellein , G. Hager , A. Weisse , K. W. Becker , A. R. Bishop

We investigate the effect of anharmonicity on the one-dimensional half-filled Holstein model by using the determinant quantum Monte Carlo method. By calculating the order parameters we find that with and without anharmonicity there is…

Strongly Correlated Electrons · Physics 2012-01-13 Jize Zhao , Kazuo Ueda

We study the metal-insulator transition in a very general two-channel transport model, where charge carriers are coupled to a correlated background medium. The fluctuations of the background were described as bosonic excitations, having the…

Strongly Correlated Electrons · Physics 2015-05-18 S. Sykora , K. W. Becker , H. Fehske

In this paper a recently developed projector-based renormalization method (PRM) for many-particle Hamiltonians is applied to the periodic Anderson model (PAM) with the aim to describe heavy Fermion behavior. In this method high-energetic…

Strongly Correlated Electrons · Physics 2009-11-10 A. Huebsch , K. W. Becker

We use analytic (mean-field) and density-matrix renormalization group (DMRG) methods to study a simplified one-dimensional version of the SSH-Holstein model of electron-phonon interactions with one electron per site (half filling) where, as…

Strongly Correlated Electrons · Physics 2024-06-19 Sijia Zhao , Steven A. Kivelson

We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas trapped in a lattice potential and subject to a Feshbach…

Other Condensed Matter · Physics 2009-11-11 L. D. Carr , M. J. Holland

The interplay between electron-electron and electron-phonon interactions is studied in a one-dimensional lattice model, by means of a variational Monte Carlo method based on generalized Jastrow-Slater wave functions. Here, the fermionic…

Strongly Correlated Electrons · Physics 2025-02-18 Davide Piccioni , Francesco Ferrari , Michele Fabrizio , Federico Becca

We report quantum Monte Carlo (stochastic series expansion) results for the transition from a Mott insulator to a dimerized Peierls insulating state in a half-filled, 1D extended Hubbard model coupled to optical bond phonons. Using…

Strongly Correlated Electrons · Physics 2009-11-10 P. Sengupta A. W. Sandvik , D. K. Campbell

We study 1D fermions with photoassociation or with a narrow Fano-Feshbach resonance described by the Boson-Fermion resonance model. Using thebosonization technique, we derive a low-energy Hamiltonian of the system. We show that at low…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Edmond Orignac , Roberta Citro