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Effect of the hole concentration on the polaronic mobility for the strongly interacting electrons
Author(s) -
Debika Debnath,
Ashok Chatterjee
Publication year - 2022
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1221/1/012006
Subject(s) - polaron , hamiltonian (control theory) , electron , physics , condensed matter physics , hubbard model , quantum mechanics , quantum electrodynamics , mathematical physics , mathematics , mathematical optimization , superconductivity
The effective hopping of the polaron has been studied for different hole concentrations. Holstein-Hubbard model is used for the half-filled and less than half-filled cases. A series of canonical transformations are imposed on the generic Hamiltonian and considering the strongly interacting electrons, the transformed Hamiltonian has been reconstructed to an effective t-J model. Using the mean-filled Hartree-Fock approximation the electronic Hamiltonian has been solved with the Zuberev’s Green function technique. The effective polaronic transport is found to be strongly dependent on the electron and hole concentration of the system.

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