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Geometrical Theory of the Shift Current in Presence of Disorder and Interaction
1CNR-IOM <a href="https://ror.org/00yfw2296">Istituto Officina dei Materiali</a>, Strada Costiera 11, 34149 Trieste, Italy and <a href="https://ror.org/02e24yw40">Donostia International Physics Center</a>, 20018 San Sebastián, Spain.
Abstract:
The electric field of light induces-in a noncentrosymmetric insulator-a dc current, quadratic in the field magnitude, called the "shift current." When addressed from a many-electron viewpoint, the shift current has a simple explanation and a simple formulation as well, deeply rooted in quantum geometry. The basic formula is then specialized to the independent-electron case, first for a disordered system in a supercell formulation, and then for a crystalline system. In the latter case the known shift-current formula is retrieved in a very transparent way.
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