# Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model

@article{Hohenadler2013PeierlsTS,
title={Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model},
journal={Journal of Physics: Condensed Matter},
year={2013},
volume={25}
}
• Published 13 June 2012
• Physics
• Journal of Physics: Condensed Matter
We use continuous-time quantum Monte Carlo simulations to study retardation effects in the metallic, quarter-filled Holstein model in one dimension. Based on results which include the one- and two-particle spectral functions as well as the optical conductivity, we conclude that with increasing phonon frequency the ground state evolves from one with dominant diagonal order—2kF charge correlations—to one with dominant off-diagonal fluctuations, namely s-wave pairing correlations. In the parameter…

## References

SHOWING 1-10 OF 69 REFERENCES

### PEIERLS INSTABILITY AND OPTICAL RESPONSE IN THE ONE-DIMENSIONAL HALF-FILLED HOLSTEIN MODEL OF SPINLESS FERMIONS

• Physics
• 1998
The effects of quantum lattice fluctuations on the Peierls transition are studied within the one--dimensional Holstein molecular crystal model by means of exact diagonalization methods. Applying a

### Intermediate phase of the one dimensional half-filled Hubbard-Holstein model.

• Physics
Physical review letters
• 2005
A numerical study of the Hubbard-Holstein model in one dimension at half filling, including finite-frequency quantum phonons, and confirms the intermediate phase, and shows that the Luttinger liquid correlation exponent K(rho) >1 in this region, indicating dominant superconducting pair correlations.

### Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model

• Physics
• 2005
We investigate the influence of the electron-phonon coupling in the one-dimensional spinless Holstein model at half-filling using both a recently developed projector-based renormalization method

### Phonon softening and dispersion in the 1D Holstein model of spinless fermions

• Physics
• 2005
Abstract.We investigate the effect of electron-phonon interaction on the phononic properties in the one-dimensional half-filled Holstein model of spinless fermions. By means of determinantal Quantum

### METAL-INSULATOR TRANSITION IN THE ONE-DIMENSIONAL HOLSTEIN MODEL AT HALF FILLING

• Physics
• 1999
We study the one-dimensional Holstein model with spin-$\frac{1}{2}$ electrons at half filling. Ground-state properties are calculated for long chains with great accuracy using the density-matrix

### Correlated singlet phase in the one-dimensional Hubbard-Holstein model

• Physics
• 2012
We show that a nearest-neighbor singlet phase results (from an effective Hamiltonian) for the onedimensional Hubbard-Holstein model in the regime of strong electron-electron and electron-phonon

### DMRG analysis of the SDW-CDW crossover region in the 1D half-filled Hubbard-Holstein model

• Physics
• 2009
In order to clarify the physics of the crossover from a spin-density-wave (SDW) Mott insulator to a charge-density-wave (CDW) Peierls insulator in one-dimensional (1D) systems, we investigate the

### Effect of electron-phonon interaction range for a half-filled band in one dimension.

• Physics
Physical review letters
• 2012
It is demonstrated that fermion-boson models with nonlocal interactions can be simulated at finite band filling with the continuous-time quantum Monte Carlo method, and lead to almost degenerate power-law exponents for charge and pairing correlations.