Oscillating magnetocaloric effect of a 2D non-relativistic diamagnetic material

Among the magnetic materials, those with ferromagnetic character are, by far, the most studied in what concerns applications of the magnetocaloric effect. However, recently, diamagnetic materials received due attention never received before, and an oscillatory behavior, analogous to the de Haas-van Alphen effect, has been found. The present effort describes in details the magnetocaloric properties of a 2D non-relativistic material (a Gold thin film, for instance), where oscillations, depending on the reciprocal magnetic field $1/B$, are found. A comparison of the magnetic entropy change per electron for some cases is presented and we found $\approx10^{-1}$ k$_{\text{B}}$ (@109.3 K) for graphenes, $\approx10^{-5}$ k$_{\text{B}}$ (@0.7 K) for 2D Gold and $\approx 10^{-7}$ k$_{\text{B}}$ (@0.7 K) for 3D Gold.