Tunneling and transmission resonances of a Dirac particle by a double barrier

Abstract

We calculate the tunneling process of a Dirac particle across two square barriers separated a distance $d$, as well as the scattering by a double cusp barrier where the centers of the cusps are separated a distance larger than their screening lengths. Using the scattering matrix formalism, we obtain the transmission and reflection amplitudes for the scattering processes of both configurations. We show that, the presence of transmission resonances modifies the Lorentizian shape of the energy resonances and induces the appearance of additional maxima in the transmission coefficient in the range of energies where transmission resonances occur. We calculate the Wigner time-delay and show how their maxima depend on the position of the transmission resonance.

To appear in Physica Scripta

References in corpus (3)

• Transmission resonances and supercritical states in a one dimensional cusp potential
• Two electron entanglement in quasi-one dimensional system: Role of resonances
• Resonant states in an attractive one dimensional cusp potential

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• Scattering of a spinless particle by an asymmetric Hulth{é}n potential within the effective mass formalism
• Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
• Relativistic Double Barrier Problem with Three Sub-Barrier Transmission Resonance Regions
• Perfect transmission of a Dirac particle in one-dimension double square barrier