Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions

Abstract

We investigate the transport properties of massive Dirac fermions subjected to uncorrelated scalar potential disorder, and mass disorder. Using a finite difference method, the conductance is calculated for a wide variety of combinations of these two disorder strengths. By calculating the scaling of conductivity with system size we find that, depending on the combination, the system can have an insulating, scale invariant, and metallic behavior. We identify the critical values of these disorder strengths where the phase transitions occur. We study both the zero and nonzero average mass cases to examine the effect of scalar potential disorder on band gap. Our results suggest a suppression of the band gap by the scalar potential disorder.

arXiv comment9 pages, 9 figures

References in corpus (48)

• Boron nitride substrates for high-quality graphene electronics
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Anderson Transitions
• Properties of Graphene: A Theoretical Perspective
• Magic Angle Spectroscopy
• Quantum-limited shot noise in graphene
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Tunable metal-insulator transition in double-layer graphene heterostructures
• Demonstration of one-parameter scaling at the Dirac point in graphene
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Topological delocalization of two-dimensional massless Dirac fermions
• Second generation Dirac cones and inversion symmetry breaking induced gaps in graphene/hexagonal boron nitride
• Random strain fluctuations as dominant disorder source for high-quality on-substrate graphene devices
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
• Theories of Low-Energy Quasi-Particle States in Disordered d-Wave Superconductors
• Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
• Is Sr2RuO4 a Chiral P-Wave Superconductor?
• Thermal metal in network models of a disordered two-dimensional superconductor
• Moiré Commensurability and the Quantum Anomalous Hall Effect in Twisted Bilayer Graphene on Hexagonal Boron Nitride
• Ballistic transport in disordered graphene
• Finite difference method for transport properties of massless Dirac fermions
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Unifying the Anderson Transitions in Hermitian and Non-Hermitian Systems
• A Classification of random Dirac fermions
• Metal-insulator transition in 2D random fermion systems of chiral symmetry classes
• Effective mass and tricritical point for lattice fermions localized by a random mass
• Absence of a metallic phase in charge-neutral graphene with a random gap
• Imaging charge density fluctuations in graphene using Coulomb blockade spectroscopy
• Quantum phase transition of chiral Majorana fermion in the presence of disorder
• Metal-Insulator Transition in Graphene on Boron Nitride
• Random gap model for graphene and graphene bilayers
• Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition
• Accurate Measurement of the Gap of Graphene/hBN Moiré Superlattice through Photocurrent Spectroscopy
• Nonlinear transport of ballistic Dirac electrons tunneling through a tunable potential barrier in graphene
• Transport in Graphene: Ballistic or Diffusive?
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• Generalized eigenproblem without fermion doubling for Dirac fermions on a lattice
• Universal critical exponent in class D superconductors
• Quantum aspects of "hydrodynamic" transport from weak electron-impurity scattering
• Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
• Gaps and tails in graphene and graphane
• Interaction-induced metallic state in graphene on hexagonal boron nitride
• Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field
• Transport in finite graphene samples
• Scaling behavior of disordered lattice fermions in two dimensions