Watson, Michael J. (2005) Localised conduction electrons in carbon nanotubes and related structures. Doctoral thesis, Durham University.
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Abstract
Single localized polaron (quasiparticle) States are considered in structures relating to carbon nanotubes. The hamiltonian is derived in the tight-binding approximation first on a hexagonal lattice and later on a general carbon nanotube with specifiable chirality, and shares close links with the Davydov model of excitations of a one-dimensional molecular chain. First-order interactions of the lattice degrees of freedom with the electron on-site and exchange terms are included. The system equations are shown, under certain approximations, to share a close relationship with the nonlinear Schrödinger equation - an equation that is known to possess localised solutions. The ground state of system is investigated numerically and is found to depend crucially upon the strengths of the electron-phonon interactions.
Item Type: | Thesis (Doctoral) |
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Award: | Doctor of Philosophy |
Thesis Date: | 2005 |
Copyright: | Copyright of this thesis is held by the author |
Deposited On: | 09 Sep 2011 09:54 |