Ground-state properties of the two-site Hubbard-Holstein model: an exact solution - Condensed Matter > Strongly Correlated ElectronsReport as inadecuate




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Abstract: We revisit the two-site Hubbard-Holstein model by using extended phononcoherent states. The nontrivial singlet bipolaron is studied exactly in thewhole coupling regime. The ground-state GS energy and the double occupancyprobability are calculated. The linear entropy is exploited successfully toquantify bipartite entanglement between electrons and their environmentphonons, displaying a maximum entanglement of the singlet-bipolaron in strongcoupling regime. A dramatic drop in the crossover regime is observed in the GSfidelity and its susceptibility. The bipolaron properties is also characterizedclassically by correlation functions. It is found that the crossover from atwo-site to single-site bipolaron is more abrupt and shifts to a largerelectron-phonon coupling strength as electron-electron Coulomb repulsionincreases.



Author: Yu-Yu Zhang, Tao Liu, Qing-Hu Chen, Xiaoguang Wang, Kelin Wang

Source: https://arxiv.org/



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