Study of Performance of Quantum Stirling Engine Using 2D and 3D Heisenberg Model

Abstract

In the article, a quantum Stirling machine is proposed and its behavior as a quantum heat engine (QHE) or a refrigerator is investigated. The working substance of the machine is considered as a 2D and 3D spin chain model under a magnetic field and the Dzyaloshinskii-Moriya interaction (DMI). The effects of a magnetic field, the temperature of a cold bath, DMI, and the system dimension have been studied on the efficiency and performance coefficient of the Stirling heat engine and the Stirling refrigerator. It is deduced that with proper selection of the system parameters, and system dimension the Stirling cycle can be operated as a QHE or quantum refrigerator with sufficient efficiency, and performance coefficient. By decreasing the temperature of the cold bath and considering a 3D model without DMI, the system works as a QHE with a maximum efficiency of 33%. Also, by considering a 2D model with DMI and rising the magnetic field, the system works as a quantum refrigerator with a maximum performance coefficient approximately of 7.1. Therefore, we can say that the maximum efficiency or performance coefficient can be obtained by the appropriate selection of system parameters and dimensions.