Multiple magnetic barriers in graphene

Abstract

We study the behavior of charge carriers in graphene in inhomogeneous perpendicular magnetic fields. We consider two types of one-dimensional magnetic profiles, uniform in one direction: a sequence of N magnetic barriers, and a sequence of alternating magnetic barriers and wells. In both cases, we compute the transmission coefficient of the magnetic structure by means of the transfer matrix formalism, and the associated conductance. In the first case the structure becomes increasingly transparent upon increasing N at fixed total magnetic flux. In the second case we find strong wave-vector filtering and resonant effects. We also calculate the band structure of a periodic magnetic superlattice, and find a wave-vector-dependent gap around zero-energy.

9 pages, 18 figures

References in corpus (19)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Unconventional Integer Quantum Hall effect in graphene
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Transport measurements across a tunable potential barrier in graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Dirac and Klein-Gordon particles in one-dimensional periodic potentials
• Theory of huge tunneling magnetoresistance in graphene
• Peculiar Nature of Snake States in Graphene
• Conductance quantization and snake states in graphene magnetic waveguides
• Quantum states in a magnetic anti-dot
• Effect of edge transmission and elastic scattering on the resistance of magnetic barriers
• Magnetic edge states in graphene in nonuniform magnetic fields
• Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
• Quantum transport of Dirac electrons in graphene in the presence of a spatially modulated magnetic field
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene

Cited by in corpus (72)

• Properties of Graphene: A Theoretical Perspective
• All-graphene integrated circuits via strain engineering
• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Electronic Band gaps and transport properties inside graphene superlattices with one-dimensional periodic squared potentials
• Landau Levels and Quantum Hall Effect in Graphene Superlattices
• Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene
• Graphene Dirac fermions in one-dimensional inhomogeneous field profiles: Transforming magnetic to electric field
• Electron optics with magnetic vector potential barriers in graphene
• Spin-resolved scattering through spin-orbit nanostructures in graphene
• Quasi-exact solution to the Dirac equation for the hyperbolic secant potential
• Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
• Strain Modulated Superlattices in Graphene
• Transport in superlattices on single layer graphene
• Wavevector-dependent spin filtering and spin transport through magnetic barriers in graphene
• Electron transport and Goos-Hanchen shift in graphene with electric and magnetic barriers: optical analogy and band structure
• Superlattice Based on Graphene on a Strip Substrate
• Magnetic superlattice and finite-energy Dirac points in graphene
• Robust zero-averaged wave-number gap inside gapped graphene superlattices
• Dirac electron in graphene under supersymmetry generated magnetic fields
• Graphene superlattice with periodically modulated Dirac gap
• Dirac-Kronig-Penney model for strain-engineered graphene
• Magnetic field barriers in graphene: an analytically solvable model
• Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction
• Spectrally isomorphic Dirac systems: graphene in electromagnetic field
• Qualitative analysis of trapped Dirac fermions in graphene
• Construction of zero energy states in graphene through the supersymmetry formalism
• On zero energy states in graphene
• Localization behavior of Dirac particles in disordered graphene superlattices
• Electronic structure of a graphene superlattice with a modulated Fermi velocity
• An analysis of the zero energy states in graphene
• Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field
• Electronic structure of a graphene superlattice with massive Dirac fermions
• Magnetic scattering of Dirac fermions in topological insulators and graphene
• Localization of Dirac-like excitations in graphene in the presence of smooth inhomogeneous magnetic fields
• Dirac wave transmission in Lévy disordered systems
• Conditional electron confinement in graphene via smooth magnetic fields
• Reversal of Klein reflection in bilayer graphene
• Bound state in continuum like solutions in one-dimensional hetero-structures
• Effects of Fermi velocity engineering in magnetic graphene superlattices
• Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems
• Analytical Solution of (2+1) Dimensional Dirac Equation in Time-Dependent Noncommutative Phase-Space
• Induced chiral Dirac fermions in graphene by a periodically modulated magnetic field
• Landau level splitting due to graphene superlattices
• Effect of Magnetic Field on Goos-Hänchen Shifts in Gaped Graphene Triangular Barrier
• mKdV equation approach to zero energy states of graphene
• Transmission through Biased Graphene Strip
• Gap opening of single-layer graphene under the continuum model
• Using magnetic stripes to stabilize superfluidity in electron-hole double monolayer graphene
• Electronic Bloch oscillation in a pristine monolayer graphene
• Tunneling of Electrons in Graphene via Double Triangular Barrier in External Fields
• Two-dimensional Dirac fermions in a mass superlattice
• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Transmission in graphene through a double laser barrier
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
• Variational Approach for the Effects of Periodic Modulations on the Spectrum of Massless Dirac Fermion
• Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry
• Generalized harmonic confinement of massless Dirac fermions in (2+ 1) dimensions
• Non-Commutativity effects in the Dirac equation in crossed electric and magnetic fields
• Transport Properties for Triangular Barriers in Graphene
• Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field
• Emergent flat band lattices in spatially periodic magnetic fields
• Effect of weak disorder on delocalization properties of gapped graphene superlattices
• Edge States and Quantum Hall Effect in Graphene under a Modulated Magnetic Field
• Many-body electron correlations in graphene
• Massless Dirac Fermions in Graphene under an External Periodic Magnetic Field
• Pseudo Hermitian interactions in the Dirac Equation
• Electron Transmission Across Normal Metal-Strained Graphene-Normal Metal Junctions
• Time-dependent massless Dirac fermions in graphene
• Bound states for massive Dirac fermions in graphene in a magnetic step field
• A systematic construction of parity-time ($\mathcal{P}\mathcal{T}$)-symmetric and non-$\mathcal{P}\mathcal{T}$-symmetric complex potentials from the solutions of various real nonlinear evolution equations
• Zero energy states of Dirac equation in $(2+1)$-dimensional curved spacetime
• Confinement in a magnetically induced WSe${}_2$ quantum dots