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In this work, we study the performance of classical and quantum magnetic Ottocycles with a working substance composed of a single graphene quantum dotmodeled by the continuum approach with the use of the zigzag boundarycondition. Modulating an external/perpendicular magnetic field, in theclassical approach, we found a constant behavior in the total work extractedthat is not present in the quantum formulation. We find that, in the classicalapproach, the engine yielded a greater performance in terms of total workextracted and efficiency as compared with its quantum counterpart. In theclassical case, this is due to the working substance being in thermalequilibrium at each point of the cycle, maximizing the energy extracted in theadiabatic strokes.

Quantum and classical Otto engine for a 2-D material: the case of a graphene quantum dot