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

Abstract

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.

arXiv comment7 pages, 4 figures and 1 table included; v2: discussion of Luttinger liquid parameters added

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Cited by in corpus (14)

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• Spin, charge and single-particle spectral functions of the one-dimensional quarter filled Holstein model
• Dynamic charge correlations near the Peierls transition
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• Coexistence of superconductivity and charge-density waves in a two-dimensional Holstein model at half-filling
• Generalized diagonalization scheme for many-particle systems
• Thermal and quantum lattice fluctuations in Peierls chains
• Charge-density-wave formation in a half-filled fermion-boson transport model: A projective renormalization approach
• A Langevin approach to lattice dynamics in a charge ordered polaronic system
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Elastoresistivity of heavily hole doped 122 iron pnictides superconductors
• Linear response within the projection-based renormalization method: Many-body corrections beyond the random phase approximation