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dc.contributor.advisorBanerjee, Sumilan
dc.contributor.authorKhare, Ojasvi
dc.date.accessioned2018-11-22T04:47:34Z
dc.date.available2018-11-22T04:47:34Z
dc.date.submitted2017
dc.identifier.urihttp://etd.iisc.ac.in/handle/2005/4160
dc.description.abstractThe thesis endeavours to theoretically understand electronic properties of nite trapezoidal shaped graphene sheets, and understand zero energy edge states. The motivation for this thesis is recent experimental work at Low Temperature Nano-electronics Laboratory under Prof. Arindam Ghosh[ ?]. This work sys-tematically tries to understand graphene, a two dimensional material, and it's confinement in spacial dimensions. In Part I, we start with analytical study of bulk graphene with various hoppings in a tight-binding formulation and its band structure. Then we confine graphene in one-dimension to form semi-in finite graphene nanoribbons and numerically determine its energy spectra and wave-functions for sites along the finite direction. In Part II, graphene is confined in both spacial dimensions and starting from simplest case of finite rectangular sheet, we move on to the two different ways in which graphene can be torn. Here, numerical studies were done to determine the density of states and local density of states. Finally Parts III and IV are devoted to the study of disorders and how various kinds of disorders can be introduced in the system and their effect in localising the wave-functions along the edges.en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesG28552;
dc.rightsI grant Indian Institute of Science the right to archive and to make available my thesis or dissertation in whole or in part in all forms of media, now hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertationen_US
dc.subjectGrapheneen_US
dc.subjectBulk Grapheneen_US
dc.subjectTrapezoidal Wedgeen_US
dc.subjectFinite Graphene Sheetsen_US
dc.subjectTrapezoidal Wedgeen_US
dc.subjectGraphene Ribbonsen_US
dc.subjectFinite Rectangular Sheeten_US
dc.subject.classificationPhysicsen_US
dc.titleEdge States and Effects of Disorder in Finite Graphene Sheetsen_US
dc.typeThesisen_US
dc.degree.nameMSen_US
dc.degree.levelMastersen_US
dc.degree.grantorIndian Institute of Scienceen_US
dc.degree.disciplineFaculty of Scienceen_US


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