Bound States of a Lattice Composite Boson on a “Magnetic” Impurity

Abstract

We have shown that a composite boson, formed by two fermionic species on a lattice with a strong on-site attraction, can be bound at an one-site static “magnetic” impurity acting oppositely on different species. We have found a manifold of bound states and calculated their energies and critical values of the impurity strength determining the occurrence of these states.