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Three-dimensional simulation of quasi-particle structures in nano-scaled superconductors |
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| Authors: | Seiki Oshima |
| Institution: | a Department of Mathematical Sciences, Osaka Prefecture University, 1-1, Gakuencho, Sakai, Osaka 599-8531, Japan b Institute for Nanofabrication Research, Osaka Prefecture University, 1-1, Gakuencho, Sakai, Osaka 599-8531, Japan c ICREST-JST, 5 Sanban-cho, Chiyoda-ku, Tokyo 102-0075, Japan |
| Abstract: | We have developed numerical simulation method for quasi-particle structures in the three-dimensional nano-sized superconductors, using the three-dimensional finite element method and the Bogoliubov-de Gennes equation. Using this method, we analyzed the superconducting state in the nano-sized cubic superconductors. We found the spatial oscillations of order parameter because of the confinement of superconducting electrons, and also we found the quasi-particle bound states at the corners of the cubic superconductors because of suppression of superconductivity at the corners. |
| Keywords: | D Electronic structure A Nano-structures D Superconductivity |
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