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This research advances fundamental understanding of Klein tunneling in quantum systems, demonstrating that transmission symmetry persists across asymmetric barriers while directional effects emerge from pair production rather than current flow. The study highlights how sharp geometric edges significantly enhance negative-energy population within the barrier interior compared to smooth profiles. These findings are critical for researchers developing topological insulators and high-precision quantum transport devices where energy conservation and particle creation dynamics dictate device behavior.
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Klein tunneling through an asymmetric barrier: Symmetric transmission and directional pair creation

arXiv2 min read

arXiv:2607.22337v1 Announce Type: new 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.

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.

arXiv:2607.22337 [quant-ph]

(or arXiv:2607.22337v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.22337 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 171 words

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