Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Half-Filled Holstein Model

2003/04/30 by Massimo Capone, M. Capone, S. Ciuchi · 6 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.91.186405

published as Phys. Rev. Lett. 91, 186405 (2003) · 4 pages, 5 figures

openalex publication_date 2003/10/30 · arxiv created 2004/01/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The formation of a finite-density polaronic state is analyzed in the context of the Holstein model using the dynamical mean-field theory. The spinless and spinful fermion cases are compared to disentangle the polaron crossover from the bipolaron formation. The exact solution of dynamical mean-field theory is compared with weak-coupling perturbation theory, noncrossing (Migdal), and vertex correction approximations. We show that polaron formation is not associated with a metal-insulator transition, which is instead due to bipolaron formation.

Citations

• The small-polaron crossover: Comparison between exact results and vertex correction approximation
• First-Order Pairing Transition and Single-Particle Spectral Function in the Attractive Hubbard Model

Cited by

• Electron-Phonon Interaction Close to a Mott Transition
• Electron-Phonon Interaction and Antiferromagnetic Correlations
• Relevance of phonon dynamics in strongly correlated systems coupled to phonons: Dynamical mean-field theory analysis
• Polaronic and Nonadiabatic Phase Diagram from Anomalous Isotope Effects
• Isotope effects in the Hubbard-Holstein model within dynamical mean-field theory
• Bipolarons and polarons in the Holstein-Hubbard model: analogies and differences