We demonstrate theoretically that the electronic ground state of the potass
ium-covered Si(111)-B surface is a Mott insulator, explicitly contradicting
band theory but in good agreement with recent experiments. We determine th
e physical structure by standard density-functional methods, and obtain the
electronic ground state by exact diagonalization of a many-body Hamiltonia
n. The many-body conductivity reveals a Brinkman-Rice metal-insulator trans
ition at a critical interaction strength; the calculated interaction streng
th is well above this critical value.