Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model

Details Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model

2006-05-25

arxiv.org/abs/cond-mat/0605643v2

Europhys. Lett., 76, 644 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 4 figures and 1 table included; v2: discussion of Luttinger liquid parameters added

Scientific paper

10.1209/epl/i2006-10327-x

In the spinless Holstein model at half-filling the coupling of electrons to phonons is responsible for a phase transition from a metallic state at small coupling to a Peierls distorted insulated state when the electron-phonon coupling exceeds a critical value. For the adiabatic case of small phonon frequencies, the transition is accompanied by a phonon softening at the Brillouin zone boundary whereas a hardening of the phonon mode occurs in the anti-adiabatic case. The phonon dynamics studied in this letter do not only reveal the expected renormalization of the phonon modes but also show remarkable additional contributions due to electronic particle-hole excitations.

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