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We theoretically study the electric current induced by the temporallyoscillating magnetic field onto a three-dimensional topological insulator basedon the linear response theory. The electric current flows on its surfacebecause of the unique characters of the surface states: the linear dispersionin two-dimension and the chiral spin texture on the Fermi surface. In the bulkregion, on the other hand, the current is absent because of the degeneracy forthe bulk bands. The response function has a peak structure when the frequencyof the magnetic field is equal to twice of the Fermi energy of the surfacestates measured from the Dirac node. This feature is unique to the surfacestates on the three-dimensional topological insulator.

Purely Surface Electric Transport Phenomenon on a Three-Dimensional Topological Insulator