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

S. Sykora, A. Hübsch () and K. W. Becker

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 51, issue 2, 181-187

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 71.10.Fd Lattice fermion models (Hubbard model; etc.); 71.30.+h Metal-insulator transitions and other electronic transitions (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00211-1

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