Shapes of Epitaxially Grown Quantum Dots

Fonseca I, Pratelli A, Zwicknagl B (2014)

Publication Status: Published

Publication Type: Journal article

Publication year: 2014

Journal

Archive for Rational Mechanics and Analysis Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 214

Pages Range: 359-401

DOI: 10.1007/s00205-014-0767-4

Abstract

A variational model introduced by Spencer and Tersoff (Appl. Phys. Lett. 96:073114, 2010) to describe optimal faceted shapes of epitaxially deposited films is studied analytically in the case in which there are a non-vanishing crystallographic miscut and a lattice incompatibility between the film and the substrate. The existence of faceted minimizers for every volume of the deposited film is established. In particular, it is shown that there is no wetting effect for small volumes. Geometric properties including a faceted version of the zero contact angle are derived, and the explicit shapes of minimizers for small volumes are identified.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

Carnegie Mellon University US United States (USA) (US) Rheinische Friedrich-Wilhelms-Universität Bonn DE Germany (DE)

How to cite

APA:

Fonseca, I., Pratelli, A., & Zwicknagl, B. (2014). Shapes of Epitaxially Grown Quantum Dots. Archive for Rational Mechanics and Analysis, 214, 359-401. https://dx.doi.org/10.1007/s00205-014-0767-4

MLA:

Fonseca, Irene, Aldo Pratelli, and Barbara Zwicknagl. "Shapes of Epitaxially Grown Quantum Dots." Archive for Rational Mechanics and Analysis 214 (2014): 359-401.

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