Peierls instability and optical response in the one--dimensional half--filled Holstein model of spinless fermions

Abstract

The effects of quantum lattice fluctuations on the Peierls transition are studied within the one--dimensional Holstein molecular crystal model by means of exact diagonalization methods. Applying a very efficient variational Lanczos technique, the ground--state phase diagram is obtained in excellent agreement with predictions of recent density matrix renormalization group calculations. The transition to the charge--density--wave regime is signaled by a strong increase in the charge structure factor. In the metallic regime, the non--universal Luttinger liquid parameters (charge velocity and coupling constant) are deduced from a finite--size scaling analysis. The variational results are supported by a complete numerical solution of the quantum phonon Holstein model on small clusters, which is based on a well--controlled phonon Hilbert space truncation procedure. The metallic and charge--density--wave phases are characterized by significant differences in the calculated optical absorption spectra.

16 pages, 8 figures, submitted to Phys. Rev. B

References in corpus (13)

• Correlated Electrons in High Temperature Superconductors
• One-Dimensional Fermi liquids
• Density matrix renormalization group study of the polaron problem in the Holstein model
• Polaron band formation in the Holstein model
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• On the self-trapping problem of electrons or excitons in one dimension
• Optical absorption and single-particle excitations in the 2D Holstein t-J model
• Density Matrix Renormalization Group Applied to the Ground State of the XY-Spin-Peierls System
• Spectral properties of the 2D Holstein polaron
• Quantum Monte Carlo study of the one-dimensional Holstein model of spinless fermions
• Optical absorption of strongly correlated half-filled Mott-Hubbard chains
• Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling
• Exact results for the optical absorption of strongly correlated electrons in a half-filled Peierls-distorted chain

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