Klein tunneling through an asymmetric barrier: Symmetric transmission and directional pair creation

• URL: http://arxiv.org/abs/2607.22337v1
• Date: Fri, 24 Jul 2026 14:14:26 GMT
• Title: Klein tunneling through an asymmetric barrier: Symmetric transmission and directional pair creation
• Abstract summary: We find that the transmission probability for the Klein tunneling through a spatially asymmetric barrier is the same for left and right incidence whenever each lead carries a single propagating channel per direction.<n>Time-dependent Wigner-function simulations confirm this and locate the missing directionality in the barrier's interior.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We prove that the transmission probability for the Klein tunneling through a spatially asymmetric barrier is the same for left and right incidence whenever each asymptotic lead carries a single propagating channel per direction. Time-dependent Wigner-function simulations confirm this and locate the missing directionality in the barrier's interior, where a sharp edge generates several times more under-barrier negative-energy population than a smooth one. Directional control in the Klein regime therefore resides in pair production rather than in the transmitted current.

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