Unconventional four-terminal thermoelectric transport due to inelastic transport: Cooling by transverse heat current, transverse thermoelectric effect, and Maxwell demon

We show that in mesoscopic four-terminal thermoelectric devices with two electrodes (the source and the drain) heat baths, inelastic scattering processes can lead to unconventional transport. The (or be cooled by passing a thermal current between no net exchange baths electrodes. This effect, termed as cooling current, is drag effect. In addition, there transverse effect where electrical power generated temperature bias (i.e., baths). originates from processes, may have advantages for improved figures of merit factor due spatial separation charge study Onsager current-affinity relations, linear-response transport properties, figure various system parameters. we investigate efficiency both linear nonlinear regimes. also demonstrate exploiting quantum-dot systems, type Maxwell's demon realized using nonequilibrium baths.