%0 Journal Article %T Excitations and impurity dynamics in a fermionic Mott insulator with nearest-neighbor interactions %A A. -M. Visuri %A T. Giamarchi %A P. T£¿rm£¿ %J Physics %D 2015 %I arXiv %X We study analytically and with the numerical time-evolving block decimation method the dynamics of an impurity in a bath of spinless fermions with nearest-neighbor interactions in a one-dimensional lattice. The bath is in a Mott insulator state with alternating sites occupied and the impurity interacts with the bath by repulsive on-site interactions. We find that when the magnitudes of the on-site and nearest-neighbor interactions are close to each other, the system shows excitations of two qualitatively distinct types. For the first type, a domain wall and an anti-domain wall of density propagate in opposite directions, while the impurity stays at the initial position. For the second one, the impurity is bound to the anti-domain wall while the domain wall propagates, an excitation where the impurity and bath are closely coupled. %U http://arxiv.org/abs/1511.04276v1