Mechanisms of appearance of Majorana fermions in topological superconductors, changes in their characteristics due to external factors such as magnetic field and spin-orbit interactions, two s- or p-types separated by a thin dielectric layer to use these changes in the recording of quantum information carrier qubits spin-orbit effect and variation of the current flowing through Josephson contacts made of superconductors depending on the magnetic field were studied, and the possibility of the magnetic-Josephson effect was shown in the considered system.
The effect of Rashba- and Dresselhaus spin-orbit interactions on the physical properties of a 2-dimensional electron gas is precisely resolved in the presence of an external electric field.
The Berezinskii diagrammatic method, which is a real-space diagrammatic method, was applied to the case of spin-orbit interactions, and the electron density of states localized in 1-dimensional quantum wires with randomly distributed dopants was studied.