Low temperature behavior of thermodynamic properties of 1D quantum wire under the Rashba spin-orbit interaction and magnetic field

In this work, we study the effects of the Rashba spin-orbit interaction (SOI) and applied magnetic field on thermodynamic properties of a quasi-one-dimensional quantum wire at low temperatures. To this end, we first present an explicit relation for partition function. Then, we give analytical expressions for the mean energy, specific heat, free energy, and entropy of the system. It is found that the specific heat shows a peak structure in the presence of SOI and then reduces to zero. The peak width of the specific heat depends on the strength of SOI. At low temperatures, the entropy reduces with increasing magnetic field in the presence of SOI, but at higher temperatures, it remains almost independent of the magnetic field. The peak of specific heat occurs at a certain value of the magnetic field which depends on the temperature.