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We investigate the infinite-dimensional two-orbital Hubbard model at arbitrary band fillings. By means of the self-energy functional approach, we discuss the stability of the metallic state in the systems with same and different bandwidths.…

Strongly Correlated Electrons · Physics 2009-11-13 Kensuke Inaba , Akihisa Koga

We study the Mott transition in Hubbard models with a degenerate band on different 3-dimensional lattices. While for a non-degenerate band only the half-filled system may exhibit a Mott transition, with degeneracy there can be a transition…

Strongly Correlated Electrons · Physics 2009-10-31 Erik Koch , Olle Gunnarsson , Richard M. Martin

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic model for such materials that captures both kinds of…

Strongly Correlated Electrons · Physics 2026-03-16 Aiman Al-Eryani , Sabine Andergassen , Michael M. Scherer

We study the quantum phase transition from an insulator to a metal realized at t'=t'_c > 0.5t in the ground state of the half-filled Hubbard chain with both nearest-neighbor (t) and next-nearest-neighbor (t') hopping. The study is carried…

Strongly Correlated Electrons · Physics 2007-05-23 G. I. Japaridze , R. M. Noack , D. Baeriswyl

The Mott-Hubbard metal-insulator transition in the paramagnetic phase of the one-band Hubbard model has long been used to describe similar features in real materials like V$_2$O$_3$. Here we show that this transition is hidden inside a…

Strongly Correlated Electrons · Physics 2009-11-10 R. Zitzler , N. Tong , Th. Pruschke , R. Bulla

The strong coupling diagram technique is used for investigating states near the metal-insulator transition in the half-filled two-dimensional repulsive Hubbard model. The nonlocal third-order term is included in the irreducible part along…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

The spatially localized bound states of two electrons in the adiabatic two-dimensional Holstein-Hubbard model on a square lattice are investigated both numerically and analytically. The interplay between the electron-phonon coupling g,…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

We investigate the half-filled Hubbard model with spatially alternating interactions by means of the two-site dynamical mean-field theory. It is found that a single Mott transition occurs when two kinds of interactions are increased. This…

Strongly Correlated Electrons · Physics 2012-04-20 Takamitsu Saitou , Akihisa Koga , Atsushi Yamamoto

We study the interplay between electron-electron interaction and a Jahn-Teller phonon coupling in a two-orbital Hubbard model. We demonstrate that the e-ph interaction coexists with the Mott localization driven by the Hubbard repulsion U,…

Strongly Correlated Electrons · Physics 2025-08-19 A. Scazzola , A. Amaricci , M. Capone

Despite being relevant to better understand the properties of honeycomb-like systems, as graphene-based compounds, the electron-phonon interaction is commonly disregarded in theoretical approaches. That is, the effects of phonon fields on…

Strongly Correlated Electrons · Physics 2021-03-17 Natanael C. Costa , Kazuhiro Seki , Sandro Sorella

Effects of the electron-electron interaction in the two-dimensional flux phase are investigated. We treat the half-filled Hubbard model with a magnetic flux $\pi$ per plaquette by the quantum Monte Carlo method. When the interaction is…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Otsuka , Y. Hatsugai

This paper reports dynamical mean field calculations for the periodic Anderson model in which the conduction band is coupled to phonons. Motivated in part by recent attention to the role of phonons in the $\gamma$-$\alpha$ transition in Ce,…

Strongly Correlated Electrons · Physics 2013-03-14 Peng Zhang , Peter Reis , Ka-Ming Tam , Mark Jarrell , Juana Moreno , Fakher Assaad , Andy McMahan

We investigate ordered phases (s-wave superconducting (SC), antiferromagnetic (AF) and charge ordered (CO) phases) of the half-filled Holstein-Hubbard model using the dynamical mean-field theory in combination with a continuous time quantum…

Strongly Correlated Electrons · Physics 2014-08-01 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

We perform a thorough study of an extended Hubbard model featuring local and nearest-neighbor Coulomb repulsion. Using dynamical mean-field theory we investigated the zero temperature phase-diagram of this model as a function of the…

Strongly Correlated Electrons · Physics 2017-03-15 K. J. Kapcia , S. Robaszkiewicz , M. Capone , A. Amaricci

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 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

A model calculation is presented with the aim to study the interplay between magnetic and structural transitions. The model consists of an orbitally doubly degenerate conduction band and a periodic array of local moments. The band electrons…

Strongly Correlated Electrons · Physics 2007-05-23 G. Gangadhar Reddy , A. Ramakanth , S. K. Ghatak , S. N. Behera , W. Nolting , T. Venkatappa Rao

We study the transitions from band insulator to metal to Mott insulator in the ionic Hubbard model on a two dimensional square lattice using determinant Quantum Monte Carlo. Evaluation of the temperature dependence of the conductivity…

Strongly Correlated Electrons · Physics 2009-11-11 N. Paris , K. Bouadim , F. Hebert , G. G. Batrouni , R. T. Scalettar

We investigate the role of electron-electron and electron-phonon interactions in strongly correlated systems by performing unbiased quantum Monte Carlo simulations in the square lattice Hubbard-Holstein model at half-filling. We study the…

Strongly Correlated Electrons · Physics 2019-10-04 Natanael C. Costa , Kazuhiro Seki , Seiji Yunoki , Sandro Sorella