Work

Finite-difference method for transport of two-dimensional massless Dirac fermions in a ribbon geometry

Year: 2012

Type: article

Abstract: We present a numerical method to compute the Landauer conductance of noninteracting two-dimensional massless Dirac fermions in disordered systems. The method allows for the introduction of boundary conditions at the ribbon edges and accounts for an external magnetic field. By construction, the proposed discretization scheme avoids the fermion doubling problem. The method does not rely on an atomistic basis and is particularly useful to deal with long-range disorder, the correlation length of which largely exceeds the underlying material crystal lattice spacing. As an application, we study the case of monolayer graphene sheets with zigzag edges subjected to long-range disorder, which can be modeled by a single-cone Dirac equation.

Source: Physical Review B

DOI: 10.1103/physrevb.86.155439

Authors: Alexis R. Hernández, Caio H. Lewenkopf

Institutions: Universidade Federal do Rio de Janeiro, Pontifícia Universidade Católica do Rio de Janeiro, Universidade Federal Fluminense

Language: English

Topic: Graphene research and applications

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

OpenAlex ID: W1983015410

FWCI: 0.728

Cites: 39

Cited by: 28

Related to: 10