Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements

Abstract A transfer matrix approach is used to study the electronic transport in graphene superlattices with long-range correlated barrier spacements. By considering the low-energy electronic excitations as massless Dirac fermions, we compute by transmission spectra of graphene superlattices with potential barriers having spacements randomly distributed with long-range correlations governed by a power-law spectral density S ( k ) ∝ 1 ∕ k α . We show that at large incidence angles, the correlations in the disorder distribution do not play a significant role in the electronic transmission. However, long-range correlations suppress the Anderson localization as normal incidence is approached and a band of transmitting modes sets up reminiscent of Klein tunneling.

• Publication year

  2020

• Venue

  Physica E-low-dimensional Systems & Nanostructures

• Publication date

  2020-05-21

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/j.physe.2020.114210arXiv 2005.10591
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Dirac wave transmission in Lévy-disordered systems.

  2019cited by this paper
• Superlattice-induced minigaps in graphene band structure due to underlying one-dimensional nanostructuration

  2018cited by this paper
• Realization of a Valley Superlattice.

  2018cited by this paper
• High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices

  2017cited by this paper
• Tuning the Fano factor of graphene via Fermi velocity modulation

  2017cited by this paper
• Electronic properties of Cantor random box distribution of impurities in graphene

  2016cited by this paper
• Scaling behavior in the transmission coefficient for a self-affine multi-barrier system using graphene

  2015cited by this paper
• Electronic structure of a graphene superlattice with massive Dirac fermions

  2015cited by this paper
• Towards superlattices: Lateral bipolar multibarriers in graphene

  2014cited by this paper
• Localisation and finite-size effects in graphene flakes

  2013cited by this paper
• A ballistic pn junction in suspended graphene with split bottom gates

  2013cited by this paper
• Ballistic interferences in suspended graphene

  2013cited by this paper
• Conductance of graphene superlattices with correlated disorder in velocity profiles

  2012cited by this paper
• Resonant modes in strain-induced graphene superlattices

  2012cited by this paper
• Klein Tunneling In The Presence Of Random Impurities

  2012cited by this paper
• Klein tunneling in graphene: optics with massless electrons

  2011cited by this paper
• Anomalous localization in low-dimensional systems with correlated disorder

  2011cited by this paper
• Electronic band gaps and transport properties in graphene superlattices with one-dimensional periodic potentials of square barriers

  2010cited by this paper
• Observation of Plasmarons in Quasi-Freestanding Doped Graphene

  2010cited by this paper
• Magnetic barrier on strained graphene: A possible valley filter

  2010cited by this paper
• Extra Dirac points in the energy spectrum for superlattices on single-layer graphene

  2010cited by this paper
• Electron-Electron Interactions in Graphene: Current Status and Perspectives

  2010cited by this paper
• Metallic phase of disordered graphene superlattices with long-range correlations

  2010cited by this paper
• Klein Paradox and Disorder-Induced Delocalization of Dirac Quasiparticles in One-Dimensional Systems ∗

  2010cited by this paper
• Tunneling, conductance, and wavevector filtering through magnetic barriers in bilayer graphene

  2009cited by this paper
• Graphene Dirac fermions in one-dimensional inhomogeneous field profiles: Transforming magnetic to electric field

  2009cited by this paper
• Tunable band gap in graphene with a noncentrosymmetric superlattice potential

  2009cited by this paper
• Dirac electrons in a Kronig-Penney potential: Dispersion relation and transmission periodic in the strength of the barriers

  2009cited by this paper
• Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene

  2009cited by this paper
• Direction-dependent tunneling through nanostructured magnetic barriers in graphene

  2008cited by this paper
• Multiple magnetic barriers in graphene

  2008cited by this paper
• Conductance of a disordered graphene superlattice

  2008cited by this paper
• Supplementary information for the paper “ Evidence for Klein tunneling in graphene p-n junctions ”

  2008cited by this paper
• New generation of massless Dirac fermions in graphene under external periodic potentials.

  2008cited by this paper
• Dirac and Klein-Gordon particles in one-dimensional periodic potentials

  2008cited by this paper
• Theory of huge tunneling magnetoresistance in graphene

  2008cited by this paper
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions

  2007cited by this paper
• Quantum Hall Effect in a Gate-Controlled p-n Junction of Graphene

  2007cited by this paper
• Klein paradox and resonant tunneling in a graphene superlattice

  2007cited by this paper
• One-parameter scaling at the dirac point in graphene.

  2007cited by this paper
• The Focusing of Electron Flow and a Veselago Lens in Graphene p-n Junctions

  2007cited by this paper
• The electronic properties of graphene

  2007cited by this paper
• Specular Andreev reflection in graphene.

  2006cited by this paper
• Chiral tunnelling and the Klein paradox in graphene

  2006cited by this paper
• Unconventional integer quantum Hall effect in graphene.

  2005cited by this paper
• Two-dimensional gas of massless Dirac fermions in graphene

  2005cited by this paper
• Anomalous optical absorption in a random system with scale-free disorder

  2005cited by this paper
• Theory of Electronic States and Transport in Carbon Nanotubes

  2005cited by this paper
• Delocalization phenomena in one-dimensional models with long-range correlated disorder: a perturbative approach

  2002cited by this paper
• Experimental evidence of delocalized states in random dimer superlattices

  1999cited by this paper
• Correlation-induced metal-insulator transition in the one-dimensional Anderson model

  1999cited by this paper
• Delocalization in the 1D Anderson Model with Long-Range Correlated Disorder

  1998cited by this paper
• Density‐matrix spectra for integrable models

  1998cited by this paper
• LOCALIZATION AND THE MOBILITY EDGE IN ONE-DIMENSIONAL POTENTIALS WITH CORRELATED DISORDER

  1998cited by this paper
• Quasi-ballistic-electron transport in random superlattices.

  1994cited by this paper
• Absence of localization and large dc conductance in random superlattices with correlated disorder.

  1994cited by this paper
• Localization: theory and experiment

  1993cited by this paper
• Chaos: From Theory to Applications

  1992cited by this paper
• Localization and Its Absence: A New Metallic State for Conducting Polymers

  1991cited by this paper
• Implication of a power-law power-spectrum for self-affinity.

  1991cited by this paper
• Absence of localization in a random-dimer model.

  1990cited by this paper
• Finite correlation dimension for stochastic systems with power-law spectra

  1989cited by this paper
• Disordered Electronic Systems

  1985cited by this paper
• Tunneling in a finite superlattice

  1973cited by this paper
• Absence of Diffusion in Certain Random Lattices

  1958cited by this paper
• Die Reflexion von Elektronen an einem Potentialsprung nach der relativistischen Dynamik von Dirac

  1929cited by this paper

• Effects of short-range correlated disorder on the electronic transport of Fermi velocity graphene superlattices

  2025cites this paper
• Impact of Correlated Disorder on Surface Superconductivity: Revealing the Robustness of the Surface Ordering Effect.

  2024cites this paper
• Dependence of the tunneling properties on an anisotropic factor in a graphene-like system

  2023cites this paper
• Wave transmission and its universal fluctuations in one-dimensional systems with Lévy-like disorder: Schrödinger, Klein-Gordon, and Dirac equations.

  2022cites this paper
• Analysis of Low-Temperature Magnetotransport Properties of NbN Thin Films Grown by Atomic Layer Deposition

  2022cites this paper
• Localization effects in graphene nanoribbons with quasiperiodic hopping modulation

  2022cites this paper
• Transport properties of magnetic graphene superlattices with modulated Fermi velocity

  2021cites this paper