Dirac fermion wave guide networks on topological insulator surfaces

Abstract

Magnetic texturing on the surface of a topological insulator allows the design of wave guide networks and beam splitters for domain-wall Dirac fermions. Guided by simple analytic arguments we model a Dirac fermion interferometer consisting of two parallel pathways, whereby a newly developed staggered-grid leap-frog discretization scheme in 2+1 dimensions with absorbing boundary conditions is employed. The net transmission can be tuned between constructive to destructive interference, either by variation of the magnetization (path length) or an applied bias (wave length). Based on this principle, a Dirac fermion transistor is proposed. Extensions to more general networks are discussed.

Submitted to PRL

References in corpus (5)

• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Field Theory of Time-Reversal Invariant Insulators
• Bulk Fermi surface coexistence with Dirac surface state in Bi${}_2$Se${}_3$: a comparison of photoemission and Shubnikov-de Haas measurements
• Momentum-Resolved Landau-Level Spectroscopy of Dirac Surface State in Bi2Se3
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Cited by in corpus (7)

• A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)D
• Single-cone real-space finite difference scheme for the time-dependent Dirac equation
• Staggered grid leap-frog scheme for the (2+1)D Dirac equation
• Dynamics of domain-wall Dirac fermions on a topological insulator: a chiral fermion beam splitter
• Controlling electron propagation on a topological insulator surface via proximity interactions
• Gate-defined coupled quantum dots in topological insulators
• Transport in Selectively Magnetically Doped Topological Insulator Wires