21 citations · 78 across the 12 of their papers we have counts for
12 papers
Kinetic model of II-VI(001) semiconductor surfaces: Growth rates in atomic layer epitaxy
T. Volkmann, M. Ahr, M. Biehl
We present a zinc-blende lattice gas model of II-VI(001) surfaces, which is investigated by means of Kinetic Monte Carlo (KMC) simulations. Anisotropic effective interactions betwe…
Surface properties of epitaxially grown crystals
Martin Ahr
We present models of surfaces of crystals in an environment where molecular beam epitaxy (MBE) and related methods of crystal growth like atomic layer epitaxy (ALE) can be performe…
Flat (001) surfaces of II-VI semiconductors: A lattice gas model
M. Ahr, M. Biehl
We present a two-dimensional lattice gas with anisotropic interactions which model the known properties of the surface reconstructions of CdTe and ZnSe. In constrast to an earlier…
Modelling (001) surfaces of II-VI semiconductors
M. Ahr, M. Biehl, T. Volkmann
First, we present a two-dimensional lattice gas model with anisotropic interactions which explains the experimentally observed transition from a dominant c(2x2) ordering of the CdT…
Kinetic Monte Carlo Simulations of dislocations in heteroepitaxial growth
F. Much, M. Ahr, M. Biehl +1
We determine the critical layer thickness for the appearance of misfit dislocations as a function of the misfit between the lattice constants of the substrate and the adsorbate fro…
Particle currents and the distribution of terrace sizes in unstable epitaxial growth
M. Biehl, M. Ahr, M. Kinne +2
A solid-on-solid model of epitaxial growth in 1+1 dimensions is investigated in which slope dependent upward and downward particle currents compete on the surface. The microscopic…
Modelling sublimation and atomic layer epitaxy in the presence of competing surface reconstructions
M. Ahr, M. Biehl
We present a solid-on-solid model of a binary AB compound, where atoms of type A in the topmost layer interact via anisotropic interactions different from those inside the bulk. De…
A lattice gas model of II-VI(001) semiconductor surfaces
Michael Biehl, Martin Ahr, Wolfgang Kinzel +2
We introduce an anisotropic two-dimensional lattice gas model of metal terminated II-IV(001) seminconductor surfaces. Important properties of this class of materials are represente…
The influence of the crystal lattice on coarsening in unstable epitaxial growth
M. Ahr, M. Biehl, M. Kinne +1
We report the results of computer simulations of epitaxial growth in the presence of a large Schwoebel barrier on different crystal surfaces: simple cubic(001), bcc(001), simple he…
Noisy regression and classification with continuous multilayer networks
Martin Ahr, Michael Biehl, Robert Urbanczik
We investigate zero temperature Gibbs learning for two classes of unrealizable rules which play an important role in practical applications of multilayer neural networks with diffe…
Weight decay induced phase transitions in multilayer neural networks
M. Ahr, M. Biehl, E. Schloesser
We investigate layered neural networks with differentiable activation function and student vectors without normalization constraint by means of equilibrium statistical physics. We…
Statistical physics and practical training of soft-committee machines
Martin Ahr, Michael Biehl, Robert Urbanczik
Equilibrium states of large layered neural networks with differentiable activation function and a single, linear output unit are investigated using the replica formalism. The quenc…