Charge and energy transport in graphene with smooth finite-range disorder
arXiv:2602.17453 · doi:10.1016/j.physb.2026.418431
Abstract
We investigate charge and energy transport in monolayer graphene with smooth finite-range disorder, modeled by soft impurity potentials. Using a continuum Dirac model, we go beyond the Born approximation by computing the exact scattering matrix for individual impurities. This captures the full nonperturbative physics of smooth disorder. From the exact scattering data, we evaluate transport coefficients by solving the Boltzmann equation with energy-resolved phase shifts. We analyze electrical and electronic thermal conductivities versus carrier density and temperature, including deviations from the Wiedemann-Franz law. Our results reveal that finite-range disorder nontrivially modifies charge and heat currents, especially at low energies where perturbative methods fail. These findings provide a more accurate transport characterization for disordered Dirac materials and clarify how smooth disorder governs energy flow in graphene.
arXiv commentAccepted in Physica B: Condensed Matter
References in corpus (35)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Boron nitride substrates for high-quality graphene electronics
- Thermal Properties of Graphene, Carbon Nanotubes and Nanostructured Carbon Materials
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Electronic transport in two dimensional graphene
- Topological nodal semimetals
- Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
- Charged Impurity Scattering in Graphene
- Carrier transport in 2D graphene layers
- A self-consistent theory for graphene transport
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Colloquium: The transport properties of graphene: An introduction
- Quantum Hall Ferromagnetism in Graphene
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Electron transport in disordered graphene
- Anomalous thermoelectric transport of Dirac particles in graphene
- Effect of Disorder on Transport in Graphene
- Resonant scattering by realistic impurities in graphene
- Elastic scattering theory and transport in graphene
- Adsorbate-limited conductivity of graphene
- Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
- Realization of a Tunable Artificial Atom at a Supercritically Charged Vacancy in Graphene
- Is Thermal Conductivity of Graphene Divergent and Higher Than Diamond?
- Scattering mechanisms and Boltzmann transport in graphene
- Effect of short- and long-range scattering in the conductivity of graphene: Boltzmann approach vs tight-binding calculations
- Scattering of two-dimensional massless Dirac electrons by a circular potential barrier
- Quantum transport in three-dimensional Weyl electron system -- in the presence of charged impurity scattering
- Wiedemann-Franz law in graphene
- Wiedemann-Franz law for massless Dirac fermions with implications for graphene
- Thermoelectric effect enhanced by the resonant states in graphene
- Wiedemann-Franz law in graphene in the presence of a weak magnetic field
- Thermoelectric transport in graphene under strain fields modeled by Dirac oscillators