English

Charge-density-wave instabilities driven by multiple umklapp scattering

Strongly Correlated Electrons 2009-11-10 v1

Abstract

We show that the concept of umklapp-scattering driven instabilities in one-dimensional systems can be generalized to arbitrary multiple umklapp-scattering processes at commensurate fillings given that the system has sufficiently longer range interactions. To this end we study the fundamental model system, namely interacting spinless fermions on a one-dimensional lattice, via a density matrix renormalization group approach. The instabilities are investigated via a new method allowing to calculate the ground-state charge stiffness numerically exactly. The method can be used to determine other ground state susceptibilities in general.

Keywords

Cite

@article{arxiv.cond-mat/0311280,
  title  = {Charge-density-wave instabilities driven by multiple umklapp scattering},
  author = {Peter Schmitteckert and Ralph Werner},
  journal= {arXiv preprint arXiv:cond-mat/0311280},
  year   = {2009}
}

Comments

5 pages REVTEX, 6 figures