Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations
arXiv:2602.06169 · doi:10.1103/qdrb-44zn
Abstract
This work examines a mobile impurity interacting with a bath of a few spin- and spin- fermions in a small one-dimensional open lattice system. We study ground-state properties using the exact diagonalization method, where the system is modeled by a three-component Fermi Hubbard Hamiltonian. We find that in addition to the standard phase separation between a strongly repulsive impurity and the bath, a strongly-attractive impurity also phase separates with the fermionic holes due to the particle-hole symmetry. Furthermore, we find that the impurity can show an oscillatory pattern in its density for intermediate attractive and repulsive bath-impurity interactions, which are induced by Friedel oscillations in the finite-size fermionic bath. This rich behavior of the impurity could be probed with fermionic ultracold mixtures in optical lattices.
Accepted version. 17 pages, 16 figures
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