The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS System
Intro:In clean layered structure of normal metal andsuperconductor, Andreev-bound states are formed inthe normal metallic part through multiple Andreevreflections (Andreev, 1964 & 1967) of the electron andhole waves. In the Andreev approximation (AA)(Andreev, 1964 & 1967), the incident elect...
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| Format: | Article |
| Language: | English |
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University of the Philippines
2003-06-01
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| Series: | Science Diliman |
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| Online Access: | http://journals.upd.edu.ph/index.php/sciencediliman/article/view/126/118 |
| _version_ | 1818449114829946880 |
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| author | R. E. S. Otadoy A. Lodder |
| author_facet | R. E. S. Otadoy A. Lodder |
| author_sort | R. E. S. Otadoy |
| collection | DOAJ |
| description | Intro:In clean layered structure of normal metal andsuperconductor, Andreev-bound states are formed inthe normal metallic part through multiple Andreevreflections (Andreev, 1964 & 1967) of the electron andhole waves. In the Andreev approximation (AA)(Andreev, 1964 & 1967), the incident electron towardsa normal metal-superconductor (NS) interface will bereflected as a hole. Exact analysis, however, shows asmall amplitude of a normally reflected electron (Sipr& Gyorffy, 1996). In most studies (Larkin & Yu, 1975),Andreev-bound states are described using thequasiclassical description, which can be shown to beequivalent to AA (Ashida et al., 1982). Interestingly,Andreev approximation works remarkably well(Blaauboer et al., 1996). In this paper, we want toinvestigate the reliability of AA by varying the transversedimensions (dimensions perpendicular to the flow ofcurrent) of a mesoscopic superconductor-normal metalsuperconductor (SNS) sample (Bagwell, 1999). In mostsystems considered so far (Tanaka & Tsukada, 1991),the transverse dimensions which the breakdown of theAndreev approximation can hardly show up areconsidered infinite. |
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| id | doaj.art-b43679b9a6ca47b8abf7e3156064cc88 |
| institution | Directory Open Access Journal |
| issn | 0115-7809 2012-0818 |
| language | English |
| last_indexed | 2024-12-14T20:30:16Z |
| publishDate | 2003-06-01 |
| publisher | University of the Philippines |
| record_format | Article |
| series | Science Diliman |
| spelling | doaj.art-b43679b9a6ca47b8abf7e3156064cc882022-12-21T22:48:32ZengUniversity of the PhilippinesScience Diliman0115-78092012-08182003-06-011511116The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS SystemR. E. S. OtadoyA. LodderIntro:In clean layered structure of normal metal andsuperconductor, Andreev-bound states are formed inthe normal metallic part through multiple Andreevreflections (Andreev, 1964 & 1967) of the electron andhole waves. In the Andreev approximation (AA)(Andreev, 1964 & 1967), the incident electron towardsa normal metal-superconductor (NS) interface will bereflected as a hole. Exact analysis, however, shows asmall amplitude of a normally reflected electron (Sipr& Gyorffy, 1996). In most studies (Larkin & Yu, 1975),Andreev-bound states are described using thequasiclassical description, which can be shown to beequivalent to AA (Ashida et al., 1982). Interestingly,Andreev approximation works remarkably well(Blaauboer et al., 1996). In this paper, we want toinvestigate the reliability of AA by varying the transversedimensions (dimensions perpendicular to the flow ofcurrent) of a mesoscopic superconductor-normal metalsuperconductor (SNS) sample (Bagwell, 1999). In mostsystems considered so far (Tanaka & Tsukada, 1991),the transverse dimensions which the breakdown of theAndreev approximation can hardly show up areconsidered infinite.http://journals.upd.edu.ph/index.php/sciencediliman/article/view/126/118Andreev-bound statesSNS system |
| spellingShingle | R. E. S. Otadoy A. Lodder The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS System Science Diliman Andreev-bound states SNS system |
| title | The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS System |
| title_full | The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS System |
| title_fullStr | The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS System |
| title_full_unstemmed | The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS System |
| title_short | The Influence of the Transverse Width on the Andreev Bound States and Self-Consistent Gap Function in Clean SNS System |
| title_sort | influence of the transverse width on the andreev bound states and self consistent gap function in clean sns system |
| topic | Andreev-bound states SNS system |
| url | http://journals.upd.edu.ph/index.php/sciencediliman/article/view/126/118 |
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