Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
The research presented in this thesis is highly mathematical in nature. The majority of my research is based on a novel approach used by Rashba [1] to solving equations which can be reduced to a particular form and solved in terms of elliptic integrals. In 1994 Rashba showed that a critical length f...
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Loughborough University
2007
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.445362 |
| Summary: | The research presented in this thesis is highly mathematical in nature. The majority of my research is based on a novel approach used by Rashba [1] to solving equations which can be reduced to a particular form and solved in terms of elliptic integrals. In 1994 Rashba showed that a critical length for self-trapping of a one-dimensional ring system occurs which depends on the electron–phonon coupling constant g. I have extended this work to consider an open-ended system, in which the boundary conditions are different to that in the periodic system, and discovered that indeed a critical length for self-trapping also occurs in this case. |
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