Barrier transmission of Dirac-like pseudospin-one particles

Abstract

We address the problem of barrier tunneling in the two-dimensional T_3 lattice (dice lattice). In particular we focus on the low-energy, long-wavelength approximation for the Hamiltonian of the system, where the lattice can be described by a Dirac-like Hamiltonian associated with a pseudospin one. The enlarged pseudospin S = 1 (instead of S = 1/2 as for graphene) leads to an enhanced "super" Klein tunneling through rectangular electrostatic barriers. Our results are confirmed via numerical investigation of the tight-binding model of the lattice. For a uniform magnetic field, we discuss the Landau levels and we investigate the transparency of a rectangular magnetic barrier. We show that the latter can mainly be described by semiclassical orbits bending the particle trajectories, qualitatively similar as it is the case for graphene. This makes it possible to confine particles with magnetic barriers of sufficient width.

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• Frequency dependent magneto-optical conductivity in the generalized $\alpha -T_3$ model
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• Anomalous localization behaviors in disordered pseudospin systems: Beyond the conventional Anderson picture
• Flat bands and long range Coulomb interactions: conducting or insulating?
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Transmission in pseudospin-1 and pseudospin-3/2 semimetals with linear dispersion through scalar and vector potential barriers
• Hidden mechanism for embedding the flat bands of Lieb, kagome, and checkerboard lattices in other structures
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• Non-Universal Critical Behaviors in Disordered Pseudospin-1 Systems
• Methods for the construction of interacting many-body Hamiltonians with compact localized states in geometrically frustrated clusters
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
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• Infinite bound states and $1/n$ energy spectrum induced by a Coulomb-like potential of type III in a flat band system
• Thermal Transport Properties of Magnons on the $\alpha$-T${}_3$ Lattice
• Optical conductivity of tilted higher pseudospin Dirac-Weyl cones
• Valley-contrasting interband transitions and excitons in symmetrically biased dice model
• Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential
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• Omnidirectional excitation of surface waves and super-Klein tunneling at the interface between two different bi-isotropic media
• Lieb lattices and pseudospin-1 dynamics under barrier- and well-like electrostatic interactions
• Electronic Properties of $\alpha -{\mathcal{T}}_3$ Quantum Dots in Magnetic Fields
• Electrical and thermal transport through $\alpha -T_3$ NIS junction
• Bound states in the continuum (BIC) protected by self-sustained potential barriers in a flat band system
• Emergent quasiparticles in Euclidean tilings
• Engineering metal-$s{p}_{xy}$ Dirac bands on the oxidized SiC surface
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• SU(3) fermions in a three-band Graphene-like model
• Resonant scattering of Dice quasiparticles on oscillating quantum dots
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• Quantum pumping with adiabatically modulated barriers in three-band pseudospin-1 Dirac-Weyl systems
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