Elektrisk styrning av mekaniska vibrationer

Sammanfattning: In this report a theoretical study have been made in the research field of Materials physics. The system under consideration is based on a similar system from an article. The system consists of a junction between a normal metal and a topological insulator, where one of the materials vibrates. Between the materials there can arise a tunneling current of electrons. The study is to see if an applied voltage over the system can make the vibrating material to exhibit a non-trivial dynamic. From the result we could conclude that the vibrating material were affected by the tunneling current. For different applied voltages we could see a clear difference in the phase and strength of the current when one of the materials vibrated. By studying the Logarithmic Fourier transformation of the current. It was concluded that the system can exhibit resonance, for lower voltages, and that the resonance frequency are dependent on the applied voltage. The calculations of the vibrating material's displacement were done both analytically and numerically. The computations were done using only arbitrary values of the coefficients.