Disorder and Defects in Graphene Band Structures

POSTER

Abstract

Calculating the electronic band structure of graphene provides an important insight into the electrical properties of this 2D carbon-based lattice. Of particular interest here is modelling disorder and defects within the lattice, and their effect on graphene's band structure. This includes varying levels of potential difference within the lattice, as well as varying symmetrical and asymmetrical defects - such as the ``585'' defect. Through a series of MATLAB scripts, these effects are theoretically modelled using a tight-binding model. Our results include a blurred band ``gap''--a result also seen, and speculated upon, experimentally.

Authors

  • Jon Parnell

    University of British Columbia and Max Planck Institute for Solid State Research

  • Bethany Mathews

    International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India, Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm, Germany, Univ of Idaho, Washington State University, University of California Berkeley, University of British Columbia, Max Planck Institute for Solid State Research and Ecole Polytechnique F\'ed\'erale de Lausanne, Max Planck Institute for Solid State Research, University of British Columbia and Max Planck Institute for Solid State Research, Physikalisches Institut, Ruprecht-Karls-Universitaet Heidelberg, Univ of Oregon, Whitman College, The University of British Columbia, Durham University, Universit\"at Freiburg, Institute for Nuclear Theory, University of Washington, National Renewable Energy Laboratory, Golden, CO 80401, Los Alamos National Laboratory, Oregon State University

  • Bethany Mathews

    International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India, Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm, Germany, Univ of Idaho, Washington State University, University of California Berkeley, University of British Columbia, Max Planck Institute for Solid State Research and Ecole Polytechnique F\'ed\'erale de Lausanne, Max Planck Institute for Solid State Research, University of British Columbia and Max Planck Institute for Solid State Research, Physikalisches Institut, Ruprecht-Karls-Universitaet Heidelberg, Univ of Oregon, Whitman College, The University of British Columbia, Durham University, Universit\"at Freiburg, Institute for Nuclear Theory, University of Washington, National Renewable Energy Laboratory, Golden, CO 80401, Los Alamos National Laboratory, Oregon State University

  • Bethany Mathews

    International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India, Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm, Germany, Univ of Idaho, Washington State University, University of California Berkeley, University of British Columbia, Max Planck Institute for Solid State Research and Ecole Polytechnique F\'ed\'erale de Lausanne, Max Planck Institute for Solid State Research, University of British Columbia and Max Planck Institute for Solid State Research, Physikalisches Institut, Ruprecht-Karls-Universitaet Heidelberg, Univ of Oregon, Whitman College, The University of British Columbia, Durham University, Universit\"at Freiburg, Institute for Nuclear Theory, University of Washington, National Renewable Energy Laboratory, Golden, CO 80401, Los Alamos National Laboratory, Oregon State University