Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size

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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Main Author: Barrett, Deborah Charmain
Published: Loughborough University 2007
Subjects:
537.623
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.445362
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spelling ndltd-bl.uk-oai-ethos.bl.uk-4453622018-08-07T03:17:09ZCritical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted sizeBarrett, Deborah Charmain2007The 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.537.623Loughborough Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.445362https://dspace.lboro.ac.uk/2134/33930Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 537.623
spellingShingle 537.623
Barrett, Deborah Charmain
Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
description 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.
author Barrett, Deborah Charmain
author_facet Barrett, Deborah Charmain
author_sort Barrett, Deborah Charmain
title Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
title_short Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
title_full Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
title_fullStr Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
title_full_unstemmed Critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
title_sort critical length for self-trapping and suppression of critical temperature for superconductivity in quasi-one-dimensional quantum nanowires of restricted size
publisher Loughborough University
publishDate 2007
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.445362
work_keys_str_mv AT barrettdeborahcharmain criticallengthforselftrappingandsuppressionofcriticaltemperatureforsuperconductivityinquasionedimensionalquantumnanowiresofrestrictedsize
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