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The tunneling current is measured as a function of voltage, lateral position, and vertical separation between a tungsten probe tip and a Si (111) 2 1 surface. A rich spectrum is obtained in the ratio of differential to total conductivity, revealing the structure of the surface-state bands. The magnitude of the parallel wave vector for certain surface states is determined from the decay length of the tunneling current. Real-space images of the surface states reveal a phase reversal between those states on either side of the surface-state band gap.
Stroscio et al. (Mon,) studied this question.