Abstract
In this work, we report the magnetocaloric effect (MCE) in two systems of non-interactive particles: the first corresponds to the Landau problem case and the second the case of an electron in a quantum dot subjected to a parabolic confinement potential. In the first scenario, we realize that the effect is totally different from what happens when the degeneracy of a single electron confined in a magnetic field is not taken into account. In particular, when the degeneracy of the system is negligible, the magnetocaloric effect cools the system, while in the other case, when the degeneracy is strong, the system heats up. For the second case, we study the competition between the characteristic frequency of the potential trap and the cyclotron frequency to find the optimal region that maximizes the of the magnetocaloric effect, and due to the strong degeneracy of this problem, the results are in coherence with those obtained for the Landau problem. Finally, we consider the case of a transition from a normal MCE to an inverse one and back to normal as a function of temperature. This is due to the competition between the diamagnetic and paramagnetic response when the electron spin in the formulation is included.
Highlights
From a fundamental point of view, the magnetocaloric effect (MCE) consists of the temperature variation of a material due to the variation of a magnetic field to which it is subjected
We report the MCE effect for two systems: the first one corresponds to the case of the very well-known Landau problem considering the degeneracy effects in their energy levels and in the second one the case of an electron in a quantum dot subjected to a confining potential modeled as a parabolic potential in two dimensions, which is the standard approach to semiconductor quantum dots
The entropy as a function of the temperature shows two behaviors. It grows as a function of the temperature, and second, it decreases at a fixed temperature when the intensity of the external magnetic field increases, as we show in the left panel of Figure 3
Summary
From a fundamental point of view, the magnetocaloric effect (MCE) consists of the temperature variation of a material due to the variation of a magnetic field to which it is subjected. The MCE is closely linked to the behavior of the total entropy (S) since there is a connection between the temperature changes that a system experiences together with entropy variations In this context, in a recent work [37], the study of the degeneracy role in the Landau problem showed a very interesting behavior for the magnetic field along an isoentropic stroke compared to the calculation in its absence. We report the MCE effect for two systems: the first one corresponds to the case of the very well-known Landau problem considering the degeneracy effects in their energy levels and in the second one the case of an electron in a quantum dot subjected to a confining potential modeled as a parabolic potential in two dimensions, which is the standard approach to semiconductor quantum dots.
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