Enhanced growth instability of strained film on curved substrate

ORAL

Abstract

We report linear stability analysis of a strained film on a curved surface. We show that the growth of a strained film is inherently less stable on a curved substrate than on a flat substrate. For small surface undulation, the lowest strain energy stat4e is for the film surface to adopt the same wavelength as the substrate surface in an anti-phase configuration. Our analysis provides some qualitative understanding of directed self-assembly of quantum dots on patterned substrates.

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Authors

  • Yu Zhang

    University of Utah

  • Feng Liu

    Department of Materials Science and Engineering, University of Utah, Salt Lake City, UT 84112, University of Utah, Department of Materials Science and Engineering, University of Utah, Salt Lake City, UT 84112 USA, Department of Materials Science and Engineering, Univeristy of Utah, Salt Lake City, UT 84112, Department of Material Science and Engineering, University of Utah, Salt Lake City, UT 84112-0610, USA, Department of Material Science and Engineering, University of Utah, Salt Lake City, UT 84112

  • Feng Liu

    Department of Materials Science and Engineering, University of Utah, Salt Lake City, UT 84112, University of Utah, Department of Materials Science and Engineering, University of Utah, Salt Lake City, UT 84112 USA, Department of Materials Science and Engineering, Univeristy of Utah, Salt Lake City, UT 84112, Department of Material Science and Engineering, University of Utah, Salt Lake City, UT 84112-0610, USA, Department of Material Science and Engineering, University of Utah, Salt Lake City, UT 84112