57 citations · 167 across the 7 of their papers we have counts for
4 papers · 1 filter
Single-cone real-space finite difference scheme for the time-dependent Dirac equation
René Hammer, Walter Pötz, Anton Arnold
A finite difference scheme for the numerical treatment of the (3+1)D Dirac equation is presented. Its staggered-grid intertwined discretization treats space and time coordinates on…
Dynamics of domain-wall Dirac fermions on a topological insulator: a chiral fermion beam splitter
René Hammer, Walter Pötz
The intersection of two ferromagnetic domain walls placed on the surface of topological insulators provides a one-way beam splitter for domain-wall Dirac fermions. Based on an anal…
Staggered grid leap-frog scheme for the (2+1)D Dirac equation
René Hammer, Walter Pötz
A numerical scheme utilizing a grid which is staggered in both space and time is proposed for the numerical solution of the (2+1)D Dirac equation in presence of an external electro…
A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)D
René Hammer, Walter Pötz, Anton Arnold
A finite difference scheme is presented for the Dirac equation in (1+1)D. It can handle space- and time-dependent mass and potential terms and utilizes exact discrete transparent b…