Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons

@article{Hohenadler2005TemperatureAQ,
  title={Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons},
  author={Martin Hohenadler and Wolfgang von der Linden},
  journal={Physical Review B},
  year={2005},
  volume={71},
  pages={184309}
}
The one-dimensional Holstein-Hubbard model with two electrons of opposite spin is studied using an extension of a recently developed quantum Monte Carlo method, and a very simple yet rewarding variational approach, both based on a canonically transformed Hamiltonian. The quantum Monte Carlo method yields very accurate results in the regime of small but finite phonon frequencies, characteristic of many strongly correlated materials such as, e.g., the cuprates and the manganites. The influence of… 
21 Citations

Figures and Tables from this paper

Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid

Fundamental open questions about the two-dimensional Holstein model of electrons coupled to quantum phonons are addressed by continuous-time quantum Monte Carlo simulations. The critical temperature

Bipolaron formation in 1D–3D quantum dots: a lattice quantum Monte Carlo approach

Polaron and bipolaron formation in the Holstein–Hubbard model with harmonic confinement potential, relevant to quantum dot structures, is investigated in one to three dimensions by means of unbiased

Quantum Monte Carlo results for bipolaron stability in quantum dots

Bipolaron formation in a two-dimensional lattice with harmonic confinement, representing a simplified model for a quantum dot, is investigated by means of quantum Monte Carlo simulations. This method

Bipolarons and polarons in the Holstein-Hubbard model: analogies and differences

Abstract The single bipolaron problem is examined in the context of the 1D Holstein-Hubbard model, emphasizing analogies and differences with respect to the complementary single polaron physics. The

Effect of screening of the electron-phonon interaction on the temperature of Bose-Einstein condensation of intersite bipolarons

AbstractHere, we consider an interacting electron-phonon system within the framework of extended Holstein-Hubbard model at strong enough electron-phonon interaction limit in which (bi)polarons are

Polaron and bipolaron dispersion curves in one dimension for intermediate coupling

Bipolaron energies are calculated as a function of wave vector by a variational method of Gurari appropriate for weak or intermediate coupling strengths, for a model with electron-phonon interactions

Electron-phonon interaction in strongly correlated systems

The Hubbard-Holstein model is a simple model including both electron-phonon interaction and electron-electron correlations. We review a body of theoretical work investigating, the effects of strong

Exact Green's functions for the two-site Hubbard-Holstein Hamiltonian

It is well known that electron-phonon coupling mediates an effective attraction between electrons; this is responsible for Cooper-pair formation in conventional superconductors. With electron-phonon

Lattice exciton-polaron problem by quantum Monte Carlo simulations

Exciton-polaron formation in one-dimensional lattice models with short- or long-range carrier-phonon interaction is studied by quantum Monte Carlo simulations. Depending on the relative sign of

Electron–Electron and Electron–Phonon Interactions in Graphene on a Semiconductor Substrate: Simple Estimations

The problem of epitaxial graphene formed on a semiconductor substrate is considered in the context of the extended Hubbard and Holstein–Hubbard models for electron–electron and electron–phonon

References

SHOWING 1-10 OF 33 REFERENCES

Single-particle spectral function of the Holstein-Hubbard bipolaron

The one-electron spectral function of the Holstein-Hubbard bipolaron in one dimension is studied using cluster perturbation theory together with the Lanczos method. In contrast to other approaches,

Two-dimensional Hubbard-Holstein bipolaron

We present a diagrammatic Monte Carlo study of the properties of the Hubbard-Holstein bipolaron on a two-dimensional square lattice. With a small Coulomb repulsion U and with increasing

Bipolarons in the extended Holstein Hubbard model

There is growing evidence that electron-phonon coupling plays an important role in determining exotic properties of novel materials such as colossal magnetoresistance 1 and high-Tc compounds. 2 Since

Small bipolarons in the 2-dimensional Holstein-Hubbard model. I. The adiabatic limit

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

Quantum Monte Carlo and variational approaches to the Holstein model

Based on the canonical Lang-Firsov transformation of the Hamiltonian we develop a very efficient quantum Monte Carlo algorithm for the Holstein model with one electron. Separation of the fermionic

Small bipolarons in the 2-dimensional Holstein-Hubbard model. II. Quantum bipolarons

Abstract:We study the effective mass of the bipolarons and essentially the possibility to get both light and strongly bound bipolarons in the Holstein-Hubbard model and some variations in the

Dynamical properties of the one-dimensional Holstein model

The spectral weight functions and the optical conductivity of the Holstein model are studied on a one-dimensional six-site lattice with periodic boundary conditions for three different electron

Ferromagnetism and electron-phonon coupling in the manganites

The physics of ferromagnetic doped manganites, such as La 1-x Ca x MnO 3 with x ≈ 0.2-0.4, is reviewed. The concept of double exchange is discussed within the general framework of itinerant electron