Polaron and bipolaron formation in the Hubbard-Holstein model: Role of next-nearest-neighbor electron hopping

2001/06/28 by G. De Filippis, V. Cataudella, G. Iadonisi +3 · 2 citations
Materials Science · Physics and Astronomy · #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.64.155105

4 figures

arxiv created 2001/06/28 · openalex publication_date 2001/09/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The influence of next-nearest-neighbor electron hopping t^\ensuremath' on the polaron and bipolaron formation in a square Hubbard-Holstein model is investigated within a variational approach. The results for electron-phonon and electron-electron correlation functions show that a negative value of t^\ensuremath' induces a strong anisotropy in the lattice distortions favoring the formation of nearest-neighbor intersite bipolaron. The role of t^\ensuremath', electron-phonon and electron-electron interactions is briefly discussed in view of the formation of charged striped domains.

Citations

• Density-matrix renormalization-group study of the polaron problem in the Holstein model
• Optimized phonon approach for the diagonalization of electron-phonon problems

Cited by

• Polaron and bipolaron dispersion curves in one dimension for intermediate coupling
• Bipolarons and polarons in the Holstein-Hubbard model: analogies and differences