Circulating current in 1D Hubbard rings with long-range hopping: Comparison between exact diagonalization method and mean-field approach

• Persistent current in 1D Hubbard ring is critically analyzed.
• Interplay between e–e interaction, long-range hopping and disorder is discussed.
• Comparison between exact diagonalization and MF theory is given.
• Significant enhancement of current takes place in a disordered ring.
• Scaling behavior of current is investigated.

The interplay between Hubbard interaction, long-range hopping and disorder on persistent current in a mesoscopic one-dimensional conducting ring threaded by a magnetic flux ϕ   is analyzed in detail. Two different methods, exact numerical diagonalization and Hartree–Fock mean field theory, are used to obtain numerical results from the many-body Hamiltonian. The current in a disordered ring gets enhanced as a result of electronic correlation and it becomes more significant when contributions from higher order hoppings, even if they are too small compared to nearest-neighbor hopping, are taken into account. Certainly this can be an interesting observation in the era of long-standing controversy between theoretical and experimental results of persistent current amplitudes. Along with these we also find half-flux quantum periodic current for some typical electron fillings and kink-like structures at different magnetic fluxes apart from ϕ=0ϕ=0 and ±ϕ0/2±ϕ0/2. The scaling behavior of current is also discussed for the sake of completeness of our present analysis.