Motivated by the recent measurements of the spatial distribution of single particle excitation states in a hole-doped Mott insulator,we study the effects of impurity on the in-gap states,induced by the doped holes,in ...Motivated by the recent measurements of the spatial distribution of single particle excitation states in a hole-doped Mott insulator,we study the effects of impurity on the in-gap states,induced by the doped holes,in the Hubbard model on the square lattice by the cluster perturbation theory.We find that a repulsive impurity potential can move the in-gap state from the lower Hubbard band towards the upper Hubbard band,providing a good account for the experimental observation.The distribution of the spectral function in the momentum space can be used to discriminate the in-gap state induced by doped holes and that by the impurity.The spatial characters of the in-gap states in the presence of two impurities are also discussed and compared to the experiment.展开更多
基金supported by the National Key Research and Development Program of China(Grant Nos.2017YFA0302901 and 2021YFA1400400)the National Natural Science Foundation of China(Grant Nos.11888101,12074175,and 92165205)。
文摘Motivated by the recent measurements of the spatial distribution of single particle excitation states in a hole-doped Mott insulator,we study the effects of impurity on the in-gap states,induced by the doped holes,in the Hubbard model on the square lattice by the cluster perturbation theory.We find that a repulsive impurity potential can move the in-gap state from the lower Hubbard band towards the upper Hubbard band,providing a good account for the experimental observation.The distribution of the spectral function in the momentum space can be used to discriminate the in-gap state induced by doped holes and that by the impurity.The spatial characters of the in-gap states in the presence of two impurities are also discussed and compared to the experiment.
