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• W1912377788 abstract "We use the continuous-time interaction expansion (CT-INT) quantum Monte Carlo method to calculate the phonon spectral function of the one-dimensional Holstein-Hubbard model at half-filling. Our results are consistent with a soft-mode Peierls transition in the adiabatic regime, and the existence of a central peak related to long-range order in the Peierls phase. We explain a previously observed feature at small momenta in terms of a hybridization of charge and phonon excitations. Tuning the system from a Peierls to a metallic phase with a nonzero Hubbard interaction suppresses the central peak, but a significant renormalization of the phonon dispersion remains. In contrast, the dispersion is only weakly modified in the Mott phase. We discuss finite-size effects, the relation to the dynamic charge structure factor, as well as additional sum rules and their implications. Finally, we reveal the existence of a discrete symmetry in a continuum field theory of the Holstein model, which is spontaneously broken in the Peierls phase." @default.
• W1912377788 created "2016-06-24" @default.
• W1912377788 creator A5003556379 @default.
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• W1912377788 date "2015-06-29" @default.
• W1912377788 modified "2023-10-15" @default.
• W1912377788 title "Phonon spectral function of the one-dimensional Holstein-Hubbard model" @default.
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• W1912377788 doi "https://doi.org/10.1103/physrevb.91.235150" @default.
• W1912377788 hasPublicationYear "2015" @default.
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