One-electron spectral properties of self-assembled structures and defects on semiconductors*

Twin grain boundaries in monolayers of transition metal dichalcogenides such as molybdenum diselenide [MoSe(2)] and self-assembled atomic structures on the surface of semiconductors such as a bismuth-induced anisotropic structure on indium antimonide [Bi/InSb(001)] are exceptional candidates for truly one-dimensional metals. The microscopic mechanisms behind their exotic spectral properties involve long-range interactions of electrons confined to one-dimensional channels. We extend the universal theory for the finite-energy spectral properties of a wide class of one-dimensional correlated lattice systems whose microscopic mechanisms involve phase shifts imposed by a mobile quantum impurity to electronic lattice systems with long-range interactions. In contrast to theoretical schemes that do not account for the effects of long- quantitatively range interactions, our theoretical predictions agree quantitatively with the observed one-electron spectral properties of one-dimensional metallic states in MoSe(2) line defects and in Bi/InSb(001).