## Abstract

We study the interaction induced zero temperature metal-insulator transition of the Holstein model at half-filling employing the dynamical mean-field theory in combination with Wilson's numerical renormalization group. We calculate the transitions between the insulating and metallic states as coupling constant g and the bare phonon frequency ω_{0} are varied. For the electron-phonon coupling g smaller than the critical value g_{c 1} the ground state is a metallic state, and for g > g_{c 2} it is the bipolaron insulating state. Between g_{c 1} < g < g_{c 2} the metallic and insulating solutions coexist. The dependence of g_{c 1} and g_{c 2} on ω_{0} are computed. The numerical results may be understood in terms of the metal-insulator transition of repulsive Hubbard model and the band narrowing of small polaron physics.

Original language | English |
---|---|

Pages (from-to) | 916-918 |

Number of pages | 3 |

Journal | Journal of Magnetism and Magnetic Materials |

Volume | 310 |

Issue number | 2 SUPPL. PART 1 |

DOIs | |

State | Published - Mar 2007 |

### Bibliographical note

Funding Information:This work was supported by Korea Research Foundation through Grant No. KRF-2005-070-C00044.

## Keywords

- Dynamical mean-field theory
- Holstein model
- Metal-insulator transition
- Numerical renormalization group