activity
20122020
most citedA dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)D

57 citations · 167 across the 7 of their papers we have counts for

collaborators

7 papers

cond-mat.mtrl-sci2020★ 5 cited

From flat to tilted: gradual interfaces in organic thin film growth

Laura Katharina Scarbath-Evers, René Hammer, Dorothea Golze +3

We investigate domain formation and local morphology of thin films of -sexithiophene (-6T) on Au(100) beyond monolayer coverage by combining high resolution scanning tunnelin…

physics.comp-ph2019

The worm-LBM, an algorithm for a high number of propagation directions on a lattice Boltzmann grid: the case of phonon transport

René Hammer, Verena Fritz, Natalia Bedoya-Martínez

The lattice Boltzmann method (LBM) is a numerical approach to tackle problems described by a Boltzmann type-equation, where time, space, and velocities are discretized to describe…

physics.comp-ph2013★ 44 cited

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…

cond-mat.mes-hall2013★ 20 cited

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…

physics.comp-ph2013★ 32 cited

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…

physics.comp-ph2013★ 57 cited

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…

cond-mat.mes-hall2012★ 9 cited

Dirac fermion wave guide networks on topological insulator surfaces

René Hammer, Christian Ertler, Walter Pötz

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 a…