Thesis-2007-Barrett.pdf (6.86 MB)

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, 15:29 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

Keywords

Exports