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We propose an all-optical method to directly reconstruct the band structureof semiconductors. Our scheme is based on the temporal Young's interferometerrealized by high harmonic generation (HHG) with a few-cycle laser pulse. As atime-energy domain interferometric device, temporal interferometer encodes theband structure into the fringe in the energy domain. The relation between theband structure and the emitted harmonic frequencies is established. Thisenables us to retrieve the band structure from the HHG spectrum with asingle-shot measurement. Our scheme paves the way to study matters underambient conditions and to track the ultrafast modification of band structures.

Determination of Electron Band Structure using Temporal Interferometry