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The generation of thermopower in a miniaturized device modeled as a channelconnected to reservoirs/contacts maintained at different temperatures isstudied in this work. The left reservoir is also coupled to a periodic THzdriving source leading to a rearrangement of its internal energy levels. Themodified levels are determined using Floquet theory that governs the dynamicsof a periodic Hamiltonian. The starting point for the presented thermopowercalculations (mirrored in the related thermal gradient controlled current) isthe Landauer formula rooted in the transmission formalism. Primarily, we showthat while thermally activated electrons can be pumped from the hot reservoirinto the cold side as a straightforward manifestation of the Seebeck effectthrough a difference in their respective Fermi levels, the quantum of chargeflow increases in presence of the periodic perturbation. We explain thisphenomenon by noting how the periodic driving makes available a greater numberof states in the left reservoir that are able to inject electrons into thechannel. The calculations also uncover a useful feature whereby the strength ofsuch a thermally-pumped current is amenable through a joint control of theamplitude and frequency of the signal, offering an additionalexperimentally-adjustable tool to regulate their flow. The calculated resultsare shown for two classes of materials defined by prototypical linear andquadratic dispersion, with the former capable of furnishing a larger current byvirtue of higher available density-of-modes. We close by pointing out possibleimprovements to the calculation by accounting for dissipative effects in thechannel.

Photo-caloritronics in the THz regime: Photon-assisted thermopower generators