Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model

Details Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model

2004-02-06

arxiv.org/abs/cond-mat/0402184v5

Phys. Rev. B 71, 045112 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

26 pages including 9 figures, final version, as published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.045112

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 (PRM) and an refined exact diagonalization technique in combination with the kernel polynomial method. At finite phonon frequencies the system shows a metal-insulator transition accompanied by the appearance of a Peierls distorted state at a finite critical electron-phonon coupling. We analyze the opening of a gap in terms of the (inverse) photoemission spectral functions which are evaluated in both approaches. Moreover, the PRM approach reveals the softening of a phonon at the Brillouin-zone boundary which can be understood as precursor effect of the gap formation.

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