arXiv subjects

Jürgen Carstensen

Publications and source records attributed to Jürgen Carstensen.

3 recordsLinked to original sources

arXiv2006

Self-Organized Formation of Fractal and Regular Pores in Semiconductors

Electrochemical etching of semiconductors, beside technical applications, provides an interesting experimental setup for self-organized structure formation capable of regular, diameter-modulated, and branching pores. The underlying dynamical processes governing current transfer and structure formation are described by the Current-Burst-Model: all dissolution processes are assumed to occur inhomogeneously in time and space as a Current Burst (CB); properties and interactions between CB's are described by a number of material- and chemistry- dependent ingredients, like passivation and aging of surfaces in different crystallographic orientations, giving a qualitative understanding of resulting pore morphologies.

cond-mat.mtrl-sci↗

arXiv2006

Self-organized pore formation and open-loop-control in semiconductor etching

Electrochemical etching of semiconductors, apart from many technical applications, provides an interesting experimental setup for self-organized structure formation capable e.g. of regular, diameter-modulated, and branching pores. The underlying dynamical processes governing current transfer and structure formation are described by the Current-Burst-Model: all dissolution processes are assumed to occur inhomogeneously in time and space as a Current Burst (CB); the properties and interactions between CB's are described by a number of material- and chemistry- dependent ingredients, like passivation and aging of surfaces in different crystallographic orientations, giving a qualitative understanding of resulting pore morphologies. These morphologies cannot be influenced only by the current, by chemical, material and other etching conditions, but also by an open-loop control, triggering the time scale given by the oxide dissolution time. With this method, under conditions where only branching pores occur, the additional signal hinders side pore formation resulting in regular pores with modulated diameter.

cond-mat.mtrl-sci↗

arXiv2004

Underetching from simple stochastic etching kinetics

The morphological richness of electrochemical semiconductor etching is not sufficiently counterparted yet by theoretical modeling. This paper investigates a minimal version of the Current-Burst model with Aging of Föll and Carstensen and demonstrates for a restricted geometry that the Aging concept is essential for underetching, or cavity generation. If the influence of Aging is neglected, the dynamics reduces to a Random Etching Model similar to the Random Deposition model. This computer {\sl gedanken experiment} demonstrates that the stochastic dynamics with ageing-dependent kinetic reaction probabilities accounts for the different etching morphologies compared to those obtained in surface roughening and related systems.

cond-mat.mtrl-sci↗