Real-space calculation of the conductivity tensor for disordered topological matter

Abstract

We describe an efficient numerical approach to calculate the longitudinal and transverse Kubo conductivities of large systems using Bastin's formulation. We expand the Green's functions in terms of Chebyshev polynomials and compute the conductivity tensor for any temperature and chemical potential in a single step. To illustrate the power and generality of the approach, we calculate the conductivity tensor for the quantum Hall effect in disordered graphene and analyze the effect of the disorder in a Chern insulator in Haldane's model on a honeycomb lattice.

5 pages, 3 figures and a supplementary material (3 pages)

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Cited by in corpus (17)

• Spin Hall effect and Weak Antilocalization in Graphene/Transition Metal Dichalcogenide Heterostructures
• Double moiré with a twist: super-moiré in encapsulated graphene
• Spectral functions and time evolution from the Chebyshev recursion
• Semiclassical dynamics of spin density waves
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• Numerical calculation of the Casimir-Polder interaction between a graphene sheet with vacancies and an atom
• Quantum Hall studies of a Semi-Dirac Nanoribbon
• Efficient Linear Scaling Approach for Computing the Kubo Hall Conductivity
• Anisotropic three-dimensional quantum Hall effect and magnetotransport in mesoscopic Weyl semimetals
• Quantum transport in graphene Hall bars: Effects of vacancy disorder
• Cloaking Resonant Scatterers and Tuning Electron Flow in Graphene
• Chebyshev Polynomial Method to Landauer-Büttiker Formula of Quantum Transport in Nanostructures
• Scattering from spin-polarized charged impurities in graphene
• Decoding the DC and optical conductivities of disordered MoS${}_2$ films: an inverse problem
• A spectrum adaptive kernel polynomial method
• Large scale calculations of thermoelectric transport coefficients: a case study of γ-graphyne with point defects
• Sudden quench of harmonically trapped mass-imbalanced fermions