Pairing of particles in a one-dimensional Fibonacci lattice within the generalized Hubbard model

In this work, we analyzed the ground-state symmetry for the cases of two particles in a linear Fibonacci chain, using the generalized Hubbard Hamiltonian and the real-space mapping method. A ground state is obtained when the correlated hopping interactions are included. The two-particle problem is analyzed by looking at the phase diagram for the bound state.