https://doi.org/10.1140/epjb/e2006-00211-1
Analytical approach to the quantum-phase transition in the one-dimensional spinless Holstein model
1
Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
2
Department of Physics, University of California, Davis, CA, 95616, USA
3
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
Corresponding author: a huebsch@pks.mpg.de
Received:
2
November
2005
Revised:
23
February
2006
Published online:
1
June
2006
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.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.30.+h – Metal-insulator transitions and other electronic transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
