Resonant tunneling in double-barrier structures under transverse magnetic field

Abstract We showed in this paper that the magnetic vector potential profile taken in previous publications is inappropriate; it introduced an artifact δ -function magnetic field at the boundary as to B → = ∇ × A → . According to electrodynamics theory, the magnetic vector should be continuous at every boundary. Using magnetic vector potential continuous boundary condition, we found that the improvement for the resonant lifetime is as high as ∼18% and ∼20% for resonant transmission probability at 20 T in an Al 0.8 Ga 0.2 As (30 A)/GaAs (60 A) double-barrier structure.