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A profound manifestation of topologically non-trivial states of matter is theoccurrence of fractionally charged elementary excitations. The quantum spinHall insulator state is a fundamentally novel quantum state of matter thatexists at zero external magnetic field. In this work, we show that a magneticdomain wall at the edge of the quantum spin Hall insulator carries one half ofthe unit of electron charge, and we propose an experiment to directly measurethis fractional charge on an individual basis. We also show that as anadditional consequence, a rotating magnetic field can induce a quantized dcelectric current, and vice versa.

Fractional Charge and Quantized Current in the Quantum Spin Hall State