Interplay of charge, spin, and lattice degrees of freedom in the spectral properties of the one-dimensional Hubbard-Holstein model

Nocera, Alberto; Soltanieh-ha, Mohammad; Perroni, C. A.; Cataudella, V.; Feiguin, A. E.

doi:10.1103/physrevb.90.195134

Cited by 21 publications

(16 citation statements)

References 75 publications

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“…Similarly, we can determine the optimal states for the time-dependent solution |ψ(t) = e −iS | ψ(t) with | ψ(t) given by Eq. (58). We find that for all times t only two optimal phonon states are required to describe the state |ψ(t) : the phonon vacuum state and a coherent state with a complex eigenvalue β = g(1 − e −iω 0 t ).…”

Section: A Optimal Phonon Modesmentioning

confidence: 97%

Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model

et al. 2015

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We study the real-time dynamics of a highly excited charge carrier coupled to quantum phonons via a Holstein-type electron-phonon coupling. This is a prototypical example for the nonequilibrium dynamics in an interacting many-body system where excess energy is transferred from electronic to phononic degrees of freedom. We use diagonalization in a limited functional space (LFS) to study the nonequilibrium dynamics on a finite one-dimensional chain. This method agrees with exact diagonalization and the time-evolving block-decimation method, in both the relaxation regime and the long-time stationary state, and among these three methods it is the most efficient and versatile one for this problem. We perform a comprehensive analysis of the time evolution by calculating the electron, phonon and electron-phonon coupling energies, and the electronic momentum distribution function. The numerical results are compared to analytical solutions for short times, for a small hopping amplitude and for a weak electron-phonon coupling. In the latter case, the relaxation dynamics obtained from the Boltzmann equation agrees very well with the LFS data. We also study the time dependence of the eigenstates of the single-site reduced density matrix, which defines the so-called optimal phonon modes. We discuss their structure in nonequilibrium and the distribution of their weights. Our analysis shows that the structure of optimal phonon modes contains very useful information for the interpretation of the numerical data.

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Section: A Optimal Phonon Modesmentioning

confidence: 97%

Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model

et al. 2015

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“…Direct interactions between fermions are not included in the Holstein model, but a variant, dubbed the Hubbard-Holstein model 21,22 , includes local interactions between fermions. At half filling, onsite interactions drive the system into an antiferromagnetic (AF) Mott insulator but there is competition between the Peierls and Mott phases, than can lead to the appearance of an intermediate metallic phase 14,[23][24][25][26][27][28][29][30] .…”

Section: Introductionmentioning

confidence: 99%

One-dimensional Hubbard-Holstein model with finite-range electron-phonon coupling

et al. 2019

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The Hubbard-Holstein model describes fermions on a discrete lattice, with on-site repulsion between fermions and a coupling to phonons that are localized on sites. Generally, at halffilling, increasing the coupling g to the phonons drives the system towards a Peierls charge density wave state whereas increasing the electron-electron interaction U drives the fermions into a Mott antiferromagnet. At low g and U , or when doped, the system is metallic. In one-dimension, using quantum Monte Carlo simulations, we study the case where fermions have a long range coupling to phonons, with characteristic range ξ, interpolating between the Holstein and Fröhlich limits. Without electron-electron interaction, the fermions adopt a Peierls state when the coupling to the phonons is strong enough. This state is destabilized by a small coupling range ξ, and leads to a collapse of the fermions, and, consequently, phase separation. Increasing interaction U will drive any of these three phases (metallic, Peierls, phase separation) into a Mott insulator phase. The phase separation region is once again present in the U = 0 case, even for small values of the coupling range.

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“…Hubbard-Holstein models are the simplest models capturing the interplay between e-e and e-ph interactions. The single-band variant has been extensively studied, particularly at half-filling, where a direct competition occurs between antiferromagnetic Mott insulating (MI) and charge-density-wave (CDW) phases [23][24][25][26][27][28][29][30][31][32]. In comparison, far fewer studies exist for multiband generalizations of the model [14,33].…”

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confidence: 99%

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

Khatami

Johnston

2017

Phys. Rev. B

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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 couplings, 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.

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Interplay of charge, spin, and lattice degrees of freedom in the spectral properties of the one-dimensional Hubbard-Holstein model

Cited by 21 publications

References 75 publications

Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model

Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model

One-dimensional Hubbard-Holstein model with finite-range electron-phonon coupling

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

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