How ripples turn into dots: modeling ion-beam erosion under oblique incidence

TL;DR

This paper presents a theoretical model for pattern formation on semiconductor surfaces caused by ion-beam erosion at various angles, revealing transitions between different surface patterns like dots and ripples.

Contribution

It introduces a continuum stochastic anisotropic Kuramoto-Sivashinsky model to describe and analyze pattern transitions under oblique ion-beam erosion.

Findings

Model exhibits hexagonally ordered dots and ripples

Transitions between pattern states depend on parameter sizes

Experimental detection methods for pattern transitions are suggested

Abstract

Pattern formation on semiconductor surfaces induced by low energetic ion-beam erosion under normal and oblique incidence is theoretically investigated using a continuum model in form of a stochastic, nonlocal, anisotropic Kuramoto-Sivashinsky equation. Depending on the size of the parameters this model exhibits hexagonally ordered dot, ripple, less regular and even rather smooth patterns. We investigate the transitional behavior between such states and suggest how transitions can be experimentally detected.