Effect of the Electric and Magnetic Fields with Aharonov-Bohm Flux Field in Quantum Dots

This paper has solved the nonrelativistic equation with the external uniform electric potential and magnetic and Aharonov-Bohm (AB) fields in a dot. We have obtained the three-term recurrence relation for the expansion coefficients using the series method. In continuing, we have found two different conditions. Then, using the obtained conditions, we have calculated the energy eigenvalues and eigenfunction. We have then obtained the main thermodynamic quantities such as the free energy, mean energy, entropy, specific heat, magnetization and persistent currents for our system. Also, we extended the calculations to an interaction-free N-body system. The obtained analytic results are compared with other results, and some of the obtained results are discussed, too.