Transmission singularities in resonant electron tunneling through double complex potential barrier

•Quantum tunneling through double barrier complex potential structure is analyzed.•Expression for resonant transmission amplitude is obtained.•It is shown that the transmission approaches infinity if the potential has appropriate form.•Conditions for infinite transmission are provided in the case of...

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Bibliographic Details
Published inPhysics letters. A Vol. 381; no. 41; pp. 3542 - 3547
Main Authors Opačak, Nikola, Milanović, Vitomir, Radovanović, Jelena
Format Journal Article
LanguageEnglish
Published Elsevier B.V 05.11.2017
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Summary:•Quantum tunneling through double barrier complex potential structure is analyzed.•Expression for resonant transmission amplitude is obtained.•It is shown that the transmission approaches infinity if the potential has appropriate form.•Conditions for infinite transmission are provided in the case of double delta potential. Tunneling of electrons through a barrier with complex potential is investigated. We focus on two cases, symmetric double rectangular barrier and double delta potential barrier, and give expressions for resonant transmission probability for both cases. Expressions for reflection amplitude and absorption are also obtained in the case of delta potential. It will be shown that for given incident particle energy, parameters of the potential structure can be obtained so that the resonant transmission probability approaches infinity. The phenomenon of infinite transmission occurs only for potentials which have positive imaginary part.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2017.09.012