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

Abstract

We discuss the nature of the different ground states of the half-filled Holstein model of spinless fermions in 1D. In the metallic regime we determine the renormalised effective coupling constant and the velocity of the charge excitations by a density-matrix renormalisation group (DMRG) finite-size scaling approach. At low (high) phonon frequencies the Luttinger liquid is characterised by an attractive (repulsive) effective interaction. In the charge-density wave Peierls-distorted state the charge structure factor scales to a finite value indicating long-range order.

2 pages, 3 figures, submitted to SCES'04

References in corpus (4)

• One-Dimensional Fermi liquids
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
• Lattice dynamical effects on the Peierls transition in one-dimensional metals and spin chains

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