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

H. Fehske·G. Wellein·G. Hager·A. Weisse·K. W. Becker·A. R. Bishop
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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.

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H. Fehske, G. Wellein, G. Hager, A. Weisse, K. W. Becker, A. R. Bishop. 2004-06-01. Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model. https://doi.org/10.1016/j.physb.2005.01.198

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