Metal–insulator transition in an one-dimensional half-filled interacting mesoscopic ring with spinless fermions: Exact results

• An exact analysis is given for interacting rings with spinless fermions.
• MI transition is obtained at half-filling.
• Conducting properties are estimated by calculating Drude weight.

We calculate persistent current of one-dimensional rings of fermions neglecting the spin degrees of freedom considering only nearest-neighbor Coulomb interactions with different electron fillings in both ordered and disordered cases. We treat the interaction exactly and find eigenenergies by exact diagonalization of many-body Hamiltonian and compute persistent current by numerical derivative method. We also determine Drude weight to estimate the conducting nature of the system. From our numerical results, we obtain a metal–insulator transition in half-filled case with increasing correlation strength U but away from half-filling no such transition is observed even for large U.