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arXiv · 0911.0242

Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State

Daisuke Takahashi·Yusuke Kato
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Abstract

We show the exact solution of Bogoliubov equations at zero-energy in the critical supercurrent state for arbitrary shape of potential barrier. With use of this solution, we prove the absence of perfect transmission of excitations in the low-energy limit by giving the explicit expression of transmission coefficient. The origin of disappearance of perfect transmission is the emergence of zero-energy density fluctuation near the potential barrier.

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Daisuke Takahashi, Yusuke Kato. 2009-11-02. Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State. https://doi.org/10.1007/s10909-009-0036-3

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