3 citations · 3 across the 1 of their papers we have counts for
15 papers
Single-cone real-space finite difference schemes for the Dirac von Neumann equation
Magdalena Schreilechner, Walter Pötz
Two finite difference schemes for the numerical treatment of the von Neumann equation for the (2+1)D Dirac Hamiltonian are presented. Both utilize a single-cone staggered space-tim…
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…
Charge transport through interfaces: a tight-binding toy model and its implications
B. A. Stickler, W. Pötz
With the help of a tight-binding (TB) electronic-structure toy model we investigate the matching of parameters across hetero-interfaces . We demonstrate that the virtual crystal ap…
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…