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Topological effects associated with fractional statistics in one-dimensional mesoscopic rings.

Using both the continuum and tight-binding models, we have investigated analytically the effects of a statistical phase factor on the persistent charge and magnetic moment currents of ‘‘free’’ hard-core anyons in one-dimensional mesoscopic rings. In particular, we ﬁnd that the ground state of the system could, in most cases, self-sustain the Aharonov-Bohm and Aharonov-Casher effects simultaneously.