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- W1990839687 abstract "The density matrix renormalization group method is used to investigate the Peierls transition for the extended Hubbard model coupled to quantized phonons. Following our earlier work on spin-Peierls systems, we use a phonon spectrum that interpolates between a gapped, dispersionless (Einstein) limit and a gapless, dispersive (Debye) limit to investigate the entire frequency range. A variety of theoretical probes are used to determine the quantum phase transition, including energy gap crossing, a finite-size scaling analysis, and bipartite quantum entanglement. All these probes indicate that a transition of Berezinskii-Kosterlitz-Thouless type is observed at a nonzero electron-phonon coupling ${g}_{c}$ for a nonvanishing electron-electron interaction. An extrapolation from the Einstein limit to the Debye limit is accompanied by an increase in ${g}_{c}$ for a fixed optical ($q=ensuremath{pi}$) phonon gap. We therefore conclude that the dimerized ground state is more unstable with respect to Debye phonons, with the introduction of phonon dispersion renormalizing the effective electron-lattice coupling for the Peierls-active mode. By varying the Coulomb interaction $U$, we observe a generalized Peierls transition, intermediate between the uncorrelated ($U=0$) and spin-Peierls ($Uensuremath{rightarrow}ensuremath{infty}$) limits, where $U$ is the Hubbard Coulomb parameter. Using the extended Hubbard model with Debye phonons, we investigate the Peierls transition in trans-polyacetylene and show that the transition is close to the critical regime." @default.
- W1990839687 created "2016-06-24" @default.
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- W1990839687 date "2011-05-04" @default.
- W1990839687 modified "2023-10-17" @default.
- W1990839687 title "Quantized lattice dynamic effects on the Peierls transition of the extended Hubbard-Peierls model" @default.
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- W1990839687 doi "https://doi.org/10.1103/physrevb.83.195105" @default.
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