Charge-density-wave instabilities driven by multiple umklapp scattering

Details Charge-density-wave instabilities driven by multiple umklapp scattering Charge-density-wave instabilities driven by multiple umklapp scattering

2003-11-12

arxiv.org/abs/cond-mat/0311280v1

Phys. Rev. B 69, 195115 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages REVTEX, 6 figures

Scientific paper

10.1103/PhysRevB.69.195115

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.

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