|Institution:||University of Saskatchewan|
|Keywords:||Inter-dimensional; Inter-dimensional quasirelativistic bosons; density of states; density of states in inter-dimensional systems|
|Full text PDF:||http://hdl.handle.net/10388/ETD-2014-12-1861|
The inter-dimensional system of a three-dimensional bulk and a two-dimensional interface is analyzed for bosons with quasirelativistic dispersion relation. Using the energy-dependent Green's function, the inter-dimensional quasirelativistic density of states inside the interface is solved analytically. We find that in the low-energy limit the inter-dimensional quasirelativistic density of states shows three-dimensional behaviour, while in the high-energy limit the density of states shows two-dimensional behaviour. This work is the first step in a process that will lead to a fully-analytical model for fermions in topological materials.