Thesis-2007-Barrett.pdf (6.86 MB)
0/0

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

Download (6.86 MB)
thesis
posted on 16.07.2018 by Deborah C. Barrett
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. [Continues.]

History

School

  • Science

Department

  • Physics

Publisher

© D.C. Barrett

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2007

Notes

A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.

Language

en

Exports

Logo branding

Keyword(s)

Exports