A facet is not an island: Step-step interactions and the fluctuations of the boundary of a crystal facet

Alberto Pimpinelli; M. Degawa; T. L. Einstein; Ellen D. Williams

doi:10.1016/j.susc.2005.09.023

A facet is not an island: Step-step interactions and the fluctuations of the boundary of a crystal facet

Alberto Pimpinelli, M. Degawa, T. L. Einstein, Ellen D. Williams

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In a recent paper [P.L. Ferrari, M. Prähofer, H. Spohn, Phys. Rev. E 69 (2004) 035102(R)], the scaling law of the fluctuations of the step limiting a crystal facet, as a function of the facet size, was computed. Ferrari et al. use rigorous, but physically rather obscure arguments. Approaching the problem from a different perspective, we rederive more transparently the scaling behavior of facet edge fluctuations as a function of time.

Original language	English (US)
Pages (from-to)	L355-L360
Journal	Surface Science
Volume	598
Issue number	1-3
DOIs	https://doi.org/10.1016/j.susc.2005.09.023
State	Published - Dec 20 2005

Keywords

Morphology
Single-crystal surfaces: curved surfaces
Stepped surfaces
Surface structure

ASJC Scopus subject areas

Condensed Matter Physics
Surfaces and Interfaces
Surfaces, Coatings and Films
Materials Chemistry

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10.1016/j.susc.2005.09.023

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title = "A facet is not an island: Step-step interactions and the fluctuations of the boundary of a crystal facet",

abstract = "In a recent paper [P.L. Ferrari, M. Pr{\"a}hofer, H. Spohn, Phys. Rev. E 69 (2004) 035102(R)], the scaling law of the fluctuations of the step limiting a crystal facet, as a function of the facet size, was computed. Ferrari et al. use rigorous, but physically rather obscure arguments. Approaching the problem from a different perspective, we rederive more transparently the scaling behavior of facet edge fluctuations as a function of time.",

keywords = "Morphology, Single-crystal surfaces: curved surfaces, Stepped surfaces, Surface structure",

author = "Alberto Pimpinelli and M. Degawa and Einstein, {T. L.} and Williams, {Ellen D.}",

note = "Funding Information: This work was supported by the NSF-funded MRSEC at University of Maryland. AP received travel funding from CNRS under the USA/CNRS 2005-07 grant. We acknowledge helpful communications from H. Spohn, H.P. Bonzel, and J. Krug.",

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T2 - Step-step interactions and the fluctuations of the boundary of a crystal facet

AU - Pimpinelli, Alberto

AU - Degawa, M.

AU - Einstein, T. L.

AU - Williams, Ellen D.

N1 - Funding Information: This work was supported by the NSF-funded MRSEC at University of Maryland. AP received travel funding from CNRS under the USA/CNRS 2005-07 grant. We acknowledge helpful communications from H. Spohn, H.P. Bonzel, and J. Krug.

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N2 - In a recent paper [P.L. Ferrari, M. Prähofer, H. Spohn, Phys. Rev. E 69 (2004) 035102(R)], the scaling law of the fluctuations of the step limiting a crystal facet, as a function of the facet size, was computed. Ferrari et al. use rigorous, but physically rather obscure arguments. Approaching the problem from a different perspective, we rederive more transparently the scaling behavior of facet edge fluctuations as a function of time.

AB - In a recent paper [P.L. Ferrari, M. Prähofer, H. Spohn, Phys. Rev. E 69 (2004) 035102(R)], the scaling law of the fluctuations of the step limiting a crystal facet, as a function of the facet size, was computed. Ferrari et al. use rigorous, but physically rather obscure arguments. Approaching the problem from a different perspective, we rederive more transparently the scaling behavior of facet edge fluctuations as a function of time.

KW - Morphology

KW - Single-crystal surfaces: curved surfaces

KW - Stepped surfaces

KW - Surface structure

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A facet is not an island: Step-step interactions and the fluctuations of the boundary of a crystal facet

Abstract

Keywords

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