Ground-state properties of the two-site Hubbard-Holstein model: an exact solution

Details Ground-state properties of the two-site Hubbard-Holstein model: an exact solution Ground-state properties of the two-site Hubbard-Holstein model: an exact solution

2008-09-25

arxiv.org/abs/0809.4426v1

J. Phys.: Condens. Matter 21 (2009) 415601

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 6 figures

Scientific paper

We revisit the two-site Hubbard-Holstein model by using extended phonon coherent states. The nontrivial singlet bipolaron is studied exactly in the whole coupling regime. The ground-state (GS) energy and the double occupancy probability are calculated. The linear entropy is exploited successfully to quantify bipartite entanglement between electrons and their environment phonons, displaying a maximum entanglement of the singlet-bipolaron in strong coupling regime. A dramatic drop in the crossover regime is observed in the GS fidelity and its susceptibility. The bipolaron properties is also characterized classically by correlation functions. It is found that the crossover from a two-site to single-site bipolaron is more abrupt and shifts to a larger electron-phonon coupling strength as electron-electron Coulomb repulsion increases.

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