Thermoelectric phenomena in an antiferromagnetic helix: Role of electric field

The charge and spin-dependent thermoelectric responses are investigated on a single-stranded helical system possessing a collinear antiferromagnetic spin arrangement with zero net magnetization in the presence of a transverse electric field. Both the short and long-range hopping scenarios are considered. Nonequilibrium Green's function formalism is employed following the Landauer-Buttiker prescription to study the thermoelectric phenomena. The dependence of the thermoelectric quantities on electric field, temperature, parameters associated with the helical geometry, coupling of the helix to electrodes, system size, etc., are elaborately discussed. The charge and spin figure of merits are computed and compared critically. For a more accurate estimation, the phononic contribution towards thermal conductance is also included. The present proposition shows a favorable spin-dependent thermoelectric response compared to the charge counterpart.