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Within the Coulomb blockade regime, our study delves into the charge, spin,and thermoelectric transport characteristics in a benzene-based molecularnano-junction using the Pauli master equation and linear response theory. Thecharge- and spin-transport studies show strong negative differentialconductance features in the current-voltage ($I-V$) characteristics for theortho and meta connections of electrodes on either side. Contrarily, thepara-connection displays Coulomb staircase behavior. Exploring spin currentbehavior in the presence of spin-polarized electrodes or external Zeeman field,we establish a methodology that facilitates precise control over the specificspin flow. Various charge and spin thermoelectric transport coefficients havebeen studied with varying chemical potentials. We focus onspin-polarized-conductance, the Seebeck coefficient, and the figure of merit.By adjusting electrode polarization or employing an external magnetic field, weachieve an impressive peak value for the spin thermoelectric figure of merit,approximately 4.10. This outcome underscores the strategic value of harnessingboth spin-polarized electrodes and external magnetic fields within the domainof spin caloritronics.

Charge and Spin Thermoelectric Transport in Benzene-Based Molecular Nano-Junctions: A Quantum Many-Body Study