Combinations of tunneling and spin-orbit interaction effects on the thermodynamics and entropy of coaxial quantum wires

.Thermodynamical properties of a typical coaxial quantum wire under the simultaneous effects of external electric and magnetic fields with great attention to the spin-orbit interaction and tunneling effects are investigated. To this aim the Schrodinger equation is solved to find the energy eigenvalues and eigenfunctions of the system and the Tsallis formalism is used to find thermodynamical parameters such as entropy, internal energy, and specific heat. Results show the considerable effect of the spin-orbit interaction and external fields on the electronic and thermodynamics of the presented complex system. It is shown that the tunneling phenomenon has considerable and interesting effects on the energies and entropy in comparison with mono-layer quantum wires without tunneling effects.