A system for depositing thin single crystal silicon wafers by epitaxial deposition in a silicon precursor depletion mode with cross-flow deposition may include: a substrate carrier with low total heat capacity, high emissivity and small volume; a lamp module with rapid heat-up, efficient heat production, and spatial control over heating; and a manifold designed for cross-flow processing. Furthermore, the substrate carrier may include heat reflectors to control heat loss from the edges of the carrier and/or heat chokes to thermally isolate the carrier from the manifolds, allowing independent temperature control of the manifolds. The carrier and substrates may be configured for deposition on both sides of the substrates—the substrates having release layers on both sides and the carriers being configured to have equal process gas flow over both surfaces of the substrate. High volume may be addressed by a deposition system comprising multiple mini-batch reactors.