Quantum Tunneling Of Electron Snake States In An Inhomogeneous Magnetic Field

Abstract

In a two dimensional free electron gas (2DEG) subjected to a perpendicular spatially varying magnetic field, the classical paths of electrons are snake-like trajectories that weave along the line where the field crosses zero. But quantum mechanically this system is described by a symmetric double well potential which, for low excitations, leads to very different electron behavior. We compute the spectrum, as well as the wavefunctions, for states of definite parity in the limit of nearly degenerate states, i.e. for electrons sufficiently far from the $B_z=0$ line. Transitions between the states are shown to give rise to a tunneling current. If the well is made asymmetrical by a time-dependent parity breaking perturbation then Rabi-like oscillations between parity states occur. Resonances can be excited and used to stimulate the transfer of electrons from one side of the potential barrier to the other through quantum tunneling.

7 pages, 2 figures

References in corpus (1)

• Observation of quantum states without a semiclassical equivalence bound by a magnetic field gradient

Cited by in corpus (2)

• Quantum transport through pairs of edge states of opposite chirality at electric and magnetic boundaries
• Instability induced by exchange forces in a 2-D electron gas in a magnetic field with uniform gradient