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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/17993

Title: Physical properties of graphene nano-devices
Authors: Hills, Romilly D.Y.
Keywords: Graphene
PN junction
WKB approximation
Zener tunnelling
Landauer formalism
Current-voltage characteristics
Potential step
Potential barrier
Issue Date: 2015
Publisher: © Romilly Djee Yin Hills
Abstract: In this doctoral thesis the two dimensional material graphene has been studied in depth with particular respect to Zener tunnelling devices. From the hexagonal structure the Hamiltonian at a Dirac point was derived with the option of including an energy gap. This Hamiltonian was then used to obtain the tunnelling properties of various graphene nano-devices; the devices studied include Zener tunnelling potential barriers such as single and double graphene potential steps. A form of the Landauer formalism was obtained for graphene devices. Combined with the scattering properties of potential barriers the current and conductance was found for a wide range of graphene nano-devices. These results were then compared to recently obtained experimental results for graphene nano-ribbons, showing many similarities between nano-ribbons and infinite sheet graphene. The methods studied were then applied to materials which have been shown to possess three dimensional Dirac cones known as topological insulators. In the case of Cd3As2 the Dirac cone is asymmetrical with respect to the $z$-direction, the effect of this asymmetry has been discussed with comparison to the symmetrical case.
Description: A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.
Sponsor: none
URI: https://dspace.lboro.ac.uk/2134/17993
Appears in Collections:PhD Theses (Physics)

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