Free energy and stiffness of and steps on a (001) surface of a cubic lattrice: Revival of the solid-on-solid model

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Abstract

We have determined the stiffness and free energy of <110> and <010> oriented steps on a (001) surface of a cubic lattice within the framework of a solid-on-solid model having nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. The stiffness of <110> oriented steps depends on both the strength of the NN and NNN interactions, whereas the stiffness of the <010> oriented steps only depends on the NNN interaction. For a vanishing NNN interaction the dimensionless inverse stiffness of the <010> oriented steps reduces to the universal value of 1/[square root of 2] as obtained by the Ising model. As an example we apply this solid-on-solid model to the well-studied Cu(001) surface.
Original languageUndefined
Pages (from-to)073404-1-073404-3
Number of pages3
JournalPhysical Review B (Condensed Matter and Materials Physics)
Volume68
Issue number7
DOIs
Publication statusPublished - 2003

Keywords

  • IR-40725
  • METIS-214143

Cite this

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title = "Free energy and stiffness of and steps on a (001) surface of a cubic lattrice: Revival of the solid-on-solid model",
abstract = "We have determined the stiffness and free energy of <110> and <010> oriented steps on a (001) surface of a cubic lattice within the framework of a solid-on-solid model having nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. The stiffness of <110> oriented steps depends on both the strength of the NN and NNN interactions, whereas the stiffness of the <010> oriented steps only depends on the NNN interaction. For a vanishing NNN interaction the dimensionless inverse stiffness of the <010> oriented steps reduces to the universal value of 1/[square root of 2] as obtained by the Ising model. As an example we apply this solid-on-solid model to the well-studied Cu(001) surface.",
keywords = "IR-40725, METIS-214143",
author = "Zandvliet, {Henricus J.W.} and {van Moere}, R. and Bene Poelsema",
year = "2003",
doi = "10.1103/PhysRevB.68.073404",
language = "Undefined",
volume = "68",
pages = "073404--1--073404--3",
journal = "Physical review B: Covering condensed matter and materials physics",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "7",

}

Free energy and stiffness of and steps on a (001) surface of a cubic lattrice: Revival of the solid-on-solid model. / Zandvliet, Henricus J.W.; van Moere, R.; Poelsema, Bene.

In: Physical Review B (Condensed Matter and Materials Physics), Vol. 68, No. 7, 2003, p. 073404-1-073404-3.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Free energy and stiffness of and steps on a (001) surface of a cubic lattrice: Revival of the solid-on-solid model

AU - Zandvliet, Henricus J.W.

AU - van Moere, R.

AU - Poelsema, Bene

PY - 2003

Y1 - 2003

N2 - We have determined the stiffness and free energy of <110> and <010> oriented steps on a (001) surface of a cubic lattice within the framework of a solid-on-solid model having nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. The stiffness of <110> oriented steps depends on both the strength of the NN and NNN interactions, whereas the stiffness of the <010> oriented steps only depends on the NNN interaction. For a vanishing NNN interaction the dimensionless inverse stiffness of the <010> oriented steps reduces to the universal value of 1/[square root of 2] as obtained by the Ising model. As an example we apply this solid-on-solid model to the well-studied Cu(001) surface.

AB - We have determined the stiffness and free energy of <110> and <010> oriented steps on a (001) surface of a cubic lattice within the framework of a solid-on-solid model having nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. The stiffness of <110> oriented steps depends on both the strength of the NN and NNN interactions, whereas the stiffness of the <010> oriented steps only depends on the NNN interaction. For a vanishing NNN interaction the dimensionless inverse stiffness of the <010> oriented steps reduces to the universal value of 1/[square root of 2] as obtained by the Ising model. As an example we apply this solid-on-solid model to the well-studied Cu(001) surface.

KW - IR-40725

KW - METIS-214143

U2 - 10.1103/PhysRevB.68.073404

DO - 10.1103/PhysRevB.68.073404

M3 - Article

VL - 68

SP - 073404-1-073404-3

JO - Physical review B: Covering condensed matter and materials physics

JF - Physical review B: Covering condensed matter and materials physics

SN - 2469-9950

IS - 7

ER -