Persistent Current via Aharanov-Bohm Effect for Charged Hard-Core Bosons in One-Dimensional Mesoscopic Rings

Abstract

Based upon a tight-binding model Hamiltonian and by applying the Jordan-Wigner transformation, the Aharonov-Bohm (AB) effect for charged hard-core bosons in one-dimensional (1D) mesoscopic rings is investigated for the first time. By introducing a specific unitary transformation, the energy spectrum and the persistent charge current are analytically derived for 1D perfect lattices. Similar to electron systems, it has been found that the energy and persistent current are periodic in AB flux with the period {Φ}₀=hc/q. More interestingly, we have exactly shown that, in the absence of the external AB flux, the charge current can be self-sustained via the AB effect, which is in fact the ground state of the system regardless of the number of hard-core bosons being even or odd.