Analytical approach to the quantum-phase transition in the one-dimensional spinless Holstein model

Abstract

We study the one-dimensional Holstein model of spinless fermions interacting with dispersion-less phonons by using a recently developed projector-based renormalization method (PRM). At half-filling the system shows a metal-insulator transition to a Peierls distorted state at a critical electron-phonon coupling where both phases are described within the same theoretical framework. The transition is accompanied by a phonon softening at the Brillouin zone boundary and a gap in the electronic spectrum. For different filling, the phonon softening appears away from the Brillouin zone boundary and thus reflects a different type of broken symmetry state.

8 pages, 4 figures included; v2: completely revised and extended; v3: minor changes, final version, to be published in Eur. Phys. J. B

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• Density Matrix Approach to Local Hilbert Space Reduction
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• Phase diagram of the one-dimensional Holstein model of spinless fermions
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• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• Renormalization approach to many-particle systems
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Cited by in corpus (11)

• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Dynamic charge correlations near the Peierls transition
• Density waves in strongly correlated quantum chains
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Phonon spectral function of the Holstein polaron
• Coexistence of superconductivity and charge-density waves in a two-dimensional Holstein model at half-filling
• Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model
• Optical conductivity of polaronic charge carriers
• Disorder-induced coupling of Weyl nodes in WTe${}_2$
• Generalized diagonalization scheme for many-particle systems
• Static and dynamic properties of the spinless Falicov-Kimball model