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

Abstract

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.

5 pages, 9 figures (Accepted for Publication in: Physics Letters A)

References in corpus (3)

• Metal-insulator transition in an aperiodic ladder network: an exact result
• Strange behavior of persistent currents in small Hubbard rings
• The large system asymptotics of persistent currents in mesoscopic quantum rings

Cited by in corpus (4)

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• Magnetic response of non-interacting and interacting electrons in a Möbius strip
• Antiferromagnetic diamond network as an efficient spin filter: Proposition of a spin-specific semi-conducting behavior