info:eu-repo/semantics/article
Charge dynamics and “in plane” magnetic field I: Rashba–Dresselhauss interaction, Majorana fermions and Aharonov–Casher theorems
Fecha
2015-10Registro en:
Cirilo, Diego Julio; Charge dynamics and “in plane” magnetic field I: Rashba–Dresselhauss interaction, Majorana fermions and Aharonov–Casher theorems; World Scientific; International Journal Of Geometric Methods In Modern Physics; 12; 9; 10-2015; 1-13; 1550088
0219-8878
1793-6977
CONICET Digital
CONICET
Autor
Cirilo, Diego Julio
Resumen
The two-dimensional charge transport with parallel (in plane) magnetic field is considered from the physical and mathematical point of view. To this end, we start with the magnetic field parallel to the plane of charge transport, in sharp contrast to the configuration described by the theorems of Aharonov and Casher where the magnetic field is perpendicular. We explicitly show that the specific form of the arising equation enforces the respective field solution to fulfill the Majorana condition. Consequently, as soon any physical system is represented by this equation, the rise of fields with Majorana type behavior is immediately explained and predicted. In addition, there exists a quantized particular phase that removes the action of the vector potential producing interesting effects. Such new effects are able to explain due to the geometrical framework introduced, several phenomenological results recently obtained in the area of spintronics and quantum electronic devices. The quantum ring as spin filter is worked out in this framework and also the case of the quantum Hall effect.