The study focus of this thesis is the transport properties of Graphene Antidot Lattices (GAL). A nanostructured graphene with a band gap while preserving the 2 dimensional property of graphene. The low field, low carrier characteristics is not thoroughly studied and the community has interest in the band edge dynamics. In this thesis, a 2D heterostructure GAL was measured with Onsager reciprocal relation. By increasing the sample and signal quality. We report peaks near the GAL CNP from the Hall measurements as a function of carrier density and characterised as the band edge induced phenomenon. The low field transport characterization reports the Hall carrier mobility to be about 12% smaller than gate effective mobility. Hinting at possible complications for the scattering landsc...[ Read more ]

The study focus of this thesis is the transport properties of Graphene Antidot Lattices (GAL). A nanostructured graphene with a band gap while preserving the 2 dimensional property of graphene. The low field, low carrier characteristics is not thoroughly studied and the community has interest in the band edge dynamics. In this thesis, a 2D heterostructure GAL was measured with Onsager reciprocal relation. By increasing the sample and signal quality. We report peaks near the GAL CNP from the Hall measurements as a function of carrier density and characterised as the band edge induced phenomenon. The low field transport characterization reports the Hall carrier mobility to be about 12% smaller than gate effective mobility. Hinting at possible complications for the scattering landscape at the low carrier regime.

Simulation work has also been done with Python libraries to show that the measured peak can be explained with Tight Binding approximation and Kubo-Bastin Formalism. Both GAL simulation and massive carrier in graphene simulation resemble the experimental data. The band structure computation reproduced the unusual gap shrinking effect in GAL reported earlier, with larger sample and smaller magnetic field by applying a periodic Landau gauge. Density of States studies illustrated the mid gap states in GAL has a magnetic field dependent degeneracy and affect the Hall response. Showing the mid gap states plays an important role when studying the band edge dynamics of GAL.