Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model

Details Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model

2003-04-30

arxiv.org/abs/cond-mat/0304677v2

Phys. Rev. Lett. 91, 186405 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.91.186405

The formation of a finite density multipolaronic 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, non-crossing (Migdal), and vertex correction approximations. We show that polaron formation is not associated to a metal-insulator transition, which is instead due to bipolaron formation.

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