Competing phases and orbital-selective behaviors in the two-orbital Hubbard-Holstein model

Abstract

We study the interplay between the electron-electron (e-e) and the electron-phonon (e-ph) interactions in the two-orbital Hubbard-Holstein model at half filling using the dynamical mean field theory. We find that the e-ph interaction, even at weak couplings, strongly modifies the phase diagram of this model and introduces an orbital-selective Peierls insulating phase (OSPI) that is analogous to the widely studied orbital-selective Mott phase (OSMP). At small e-e and e-ph coupling, we find a competition between the OSMP and the OSPI, while at large couplings, a competition occurs between Mott and charge-density-wave (CDW) insulating phases. We further demonstrate that the Hund's coupling influences the OSPI transition by lowering the energy associated with the CDW. Our results explicitly show that one must be cautious when neglecting the e-ph interaction in multiorbital systems, where multiple electronic interactions create states that are readily influenced by perturbing interactions.

5 pages, 4 figures

References in corpus (20)

• Strong electronic correlations from Hund's coupling
• Is LaO${}_{1-x}$F${}_x$FeAs an electron-phonon superconductor ?
• Coherence-incoherence crossover in the normal state of iron-oxypnictides and importance of the Hund's rule coupling
• Dome-shaped magnetic order competing with high-temperature superconductivity at high pressures in FeSe
• Orbital-Selective Mott transition out of band degeneracy lifting
• Observation of Temperature-Induced Crossover to an Orbital-Selective Mott Phase in A${}_x$Fe${}_{2-y}$Se${}_2$ (A=K, Rb) Superconductors
• Hund's coupling key role in multi-orbital correlations
• Effects of magnetism and doping on the electron-phonon coupling in BaFe${}_2$As${}_2$
• Orbital Fluctuation Theory in Iron Pnictides: Effects of As-Fe-As Bond Angle, Isotope Substitution, and $Z^2$-Orbital Pocket on the Superconductivity
• Formation of Hubbard-like bands as a fingerprint of strong electron-electron interactions in FeSe
• Orbital-dependent singlet dimers and orbital-selective Peierls transitions in transition metal compounds
• Electron-phonon interaction and antiferromagnetic correlations
• Competition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
• Anomalous electron-phonon interaction in doped LaOFeAs: a First Principles calculation
• Non-local correlations in the orbital selective Mott phase of a one dimensional multi-orbital Hubbard model
• Direct observation of dispersive lower Hubbard band in iron-based superconductor FeSe
• Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates
• Antiferromagnetism enables electron-phonon coupling in iron-based superconductors
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model

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• Prediction of orbital selective Mott phases and block magnetic states in the quasi-one-dimensional iron chain Ce${}_2$O${}_2$FeSe${}_2$ under hole and electron doping
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