Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin–orbit interaction

• Published in: Physica A Vol. 548; p. 123871
• Main Authors: Castaño-Yepes, Jorge David, Amor-Quiroz, D.A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.06.2020
• Subjects: Diamagnetism, paramagnetism and superparamagnetism; Heat Capacity; Nonequilibrium and irreversible thermodynamics; Quantum dots; Superstatistics; Thermal Properties; Nonequilibrium and irreversible thermodynamics; Thermal Properties; Superstatistics; Diamagnetism, paramagnetism and superparamagnetism; Quantum dots; Heat Capacity
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2019.123871

We examine the effect of non-equilibrium processes modeled by the introduction of a generalized Boltzmann factor on the thermal and magnetic properties of an array of two-dimensional GaAs quantum dots in the presence of an external uniform and constant magnetic field. The model consists of a single-electron subject to a confining Gaussian potential with a spin–orbit interaction in the Rashba approach. We compute the specific heat and the magnetic susceptibility within the formalism of χ2-superstatistics from the exact solution of the Schrödinger equation. Furthermore, an analytic solution for the partition function allows a study of the impact of the number of subsystems on the superstatistical corrections and confirms that the ordinary thermo-magnetic properties are recovered whenever the thermal distribution can be approximated by a Dirac delta. Also, we found a progressive disappearance of the Schottky anomaly with decreasing number of subsystems, while the specific heat ceases to be a monotonically increasing function with respect to the average temperature when the χ2-distribution is spread over a large range of temperatures. Remarkably, the introduction of fluctuations in the temperature is found to suppress the paramagnetic phase transition that would otherwise appear at low temperatures. Finally, we emphasize that an appropriate construction of the definition of physical observables is crucial for obtaining a correct description of the physics derived from a non-extensive construction of the entropy. •The non-equilibrium processes of 2DQDs by a superstatistical description are studied.•The importance of Legendre structure of the statistical thermodynamics is discussed.•The temperature fluctuations and the system’s size melts the Shottky anomaly peak.•The paramagnetic phase is suppressed for some system’s size.