Thermal roughening of (001) surfaces

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Abstract

Within the framework of a solid-on-solid model that incorporates nearest- (epsilon) and next-nearest-neighbor (delta) interactions we have determined the free energy of the high-symmetry steps on a (001) surface of a cubic crystal. We have found a simple expression that allows one to determine the thermal roughening temperature TR of a (001) surface (2e¿(epsilon/2+delta)/kbTR¿e¿(epsilon+2delta)/kbTR+2e¿(epsilon+delta)/kbTR=1). In a more refined analysis we have explicitly included step-edge overhangs. This results in a slightly lower thermal roughening temperature. Our results are also applicable to the two-dimensional Ising spin system.
Original languageUndefined
Pages (from-to)-
Number of pages113412
JournalPhysical review B: Condensed matter and materials physics
Volume72
Issue number11
DOIs
Publication statusPublished - 2005

Keywords

  • METIS-227132
  • IR-53850

Cite this

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abstract = "Within the framework of a solid-on-solid model that incorporates nearest- (epsilon) and next-nearest-neighbor (delta) interactions we have determined the free energy of the high-symmetry steps on a (001) surface of a cubic crystal. We have found a simple expression that allows one to determine the thermal roughening temperature TR of a (001) surface (2e¿(epsilon/2+delta)/kbTR¿e¿(epsilon+2delta)/kbTR+2e¿(epsilon+delta)/kbTR=1). In a more refined analysis we have explicitly included step-edge overhangs. This results in a slightly lower thermal roughening temperature. Our results are also applicable to the two-dimensional Ising spin system.",
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author = "Zandvliet, {Henricus J.W.} and {van Dijk}, F.R. and Bene Poelsema",
year = "2005",
doi = "10.1103/PhysRevB.72.113412",
language = "Undefined",
volume = "72",
pages = "--",
journal = "Physical review B: Condensed matter and materials physics",
issn = "1098-0121",
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Thermal roughening of (001) surfaces. / Zandvliet, Henricus J.W.; van Dijk, F.R.; Poelsema, Bene.

In: Physical review B: Condensed matter and materials physics, Vol. 72, No. 11, 2005, p. -.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Thermal roughening of (001) surfaces

AU - Zandvliet, Henricus J.W.

AU - van Dijk, F.R.

AU - Poelsema, Bene

PY - 2005

Y1 - 2005

N2 - Within the framework of a solid-on-solid model that incorporates nearest- (epsilon) and next-nearest-neighbor (delta) interactions we have determined the free energy of the high-symmetry steps on a (001) surface of a cubic crystal. We have found a simple expression that allows one to determine the thermal roughening temperature TR of a (001) surface (2e¿(epsilon/2+delta)/kbTR¿e¿(epsilon+2delta)/kbTR+2e¿(epsilon+delta)/kbTR=1). In a more refined analysis we have explicitly included step-edge overhangs. This results in a slightly lower thermal roughening temperature. Our results are also applicable to the two-dimensional Ising spin system.

AB - Within the framework of a solid-on-solid model that incorporates nearest- (epsilon) and next-nearest-neighbor (delta) interactions we have determined the free energy of the high-symmetry steps on a (001) surface of a cubic crystal. We have found a simple expression that allows one to determine the thermal roughening temperature TR of a (001) surface (2e¿(epsilon/2+delta)/kbTR¿e¿(epsilon+2delta)/kbTR+2e¿(epsilon+delta)/kbTR=1). In a more refined analysis we have explicitly included step-edge overhangs. This results in a slightly lower thermal roughening temperature. Our results are also applicable to the two-dimensional Ising spin system.

KW - METIS-227132

KW - IR-53850

U2 - 10.1103/PhysRevB.72.113412

DO - 10.1103/PhysRevB.72.113412

M3 - Article

VL - 72

SP - -

JO - Physical review B: Condensed matter and materials physics

JF - Physical review B: Condensed matter and materials physics

SN - 1098-0121

IS - 11

ER -