Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model

@article{Fehske2005LuttingerLV,
  title={Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model},
  author={Holger Fehske and Gerhard Wellein and Georg Hager and Alexander Weisse and Klaus W. Becker and Alan R. Bishop},
  journal={Physica B-condensed Matter},
  year={2005},
  volume={359},
  pages={699-701}
}
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References

SHOWING 1-8 OF 8 REFERENCES
Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
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
Lattice dynamical effects on the peierls transition in one-dimensional metals and spin chains
The interplay of charge, spin and lattice degrees of freedom is studied for quasi-one-dimensional electron and spin systems coupled to quantum phonons. Special emphasis is put on the influence of the
Conformal invariance and universality in finite-size scaling
The universal relation between critical exponents and the amplitude of the correlation length divergence as a function of finite size at the critical point of two-dimensional systems is shown to be a
One-dimensional Fermi liquids
We review the progress in the theory of one-dimensional (ID) Fermi liquids which has occurred over the past decade. The usual Fermi liquid theory, based on a quasi-particle picture, breaks down in
S. Sykora et. al., cond-mat/0402184, and references therein
  • S. Sykora et. al., cond-mat/0402184, and references therein
  • 1998
Work was supported by DFG under SPP 1073 and SFB 463
  • Work was supported by DFG under SPP 1073 and SFB 463
J. Voit, Rep. Prog. Phys
  • J. Voit, Rep. Prog. Phys
  • 1984
A 17
  • L385 (1984); J. Voit, Rep. Prog. Phys. 58, 977
  • 1995