An experimentalists view on the analogy between step edges and quantum mechanical particles

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Abstract

Guided by scanning tunnelling microscopy images of regularly stepped surfaces it will be illustrated that there is a striking similarity between the behaviour of monoatomic step edges and quantum mechanical particles (spinless fermions). The direction along the step edge is equivalent to the time, while the direction perpendicular to the step corresponds to the one-dimensional space along which the quantum mechanical particles are located. The non-crossing condition of the steps, giving rise to entropic repulsion, is related to the boundary condition of the wavefunction of a quantum mechanical particle at an infinitely high barrier. Finally, the step edge stiffness can be related to the mass of the quantum mechanical particle.
Original languageUndefined
Pages (from-to)677-680
Number of pages4
JournalSolid state communications
Volume94
Issue number94
DOIs
Publication statusPublished - 1995

Keywords

  • METIS-128919
  • IR-24120

Cite this

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title = "An experimentalists view on the analogy between step edges and quantum mechanical particles",
abstract = "Guided by scanning tunnelling microscopy images of regularly stepped surfaces it will be illustrated that there is a striking similarity between the behaviour of monoatomic step edges and quantum mechanical particles (spinless fermions). The direction along the step edge is equivalent to the time, while the direction perpendicular to the step corresponds to the one-dimensional space along which the quantum mechanical particles are located. The non-crossing condition of the steps, giving rise to entropic repulsion, is related to the boundary condition of the wavefunction of a quantum mechanical particle at an infinitely high barrier. Finally, the step edge stiffness can be related to the mass of the quantum mechanical particle.",
keywords = "METIS-128919, IR-24120",
author = "Zandvliet, {Henricus J.W.}",
year = "1995",
doi = "10.1016/0038-1098(95)00070-4",
language = "Undefined",
volume = "94",
pages = "677--680",
journal = "Solid state communications",
issn = "0038-1098",
publisher = "Elsevier",
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An experimentalists view on the analogy between step edges and quantum mechanical particles. / Zandvliet, Henricus J.W.

In: Solid state communications, Vol. 94, No. 94, 1995, p. 677-680.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - An experimentalists view on the analogy between step edges and quantum mechanical particles

AU - Zandvliet, Henricus J.W.

PY - 1995

Y1 - 1995

N2 - Guided by scanning tunnelling microscopy images of regularly stepped surfaces it will be illustrated that there is a striking similarity between the behaviour of monoatomic step edges and quantum mechanical particles (spinless fermions). The direction along the step edge is equivalent to the time, while the direction perpendicular to the step corresponds to the one-dimensional space along which the quantum mechanical particles are located. The non-crossing condition of the steps, giving rise to entropic repulsion, is related to the boundary condition of the wavefunction of a quantum mechanical particle at an infinitely high barrier. Finally, the step edge stiffness can be related to the mass of the quantum mechanical particle.

AB - Guided by scanning tunnelling microscopy images of regularly stepped surfaces it will be illustrated that there is a striking similarity between the behaviour of monoatomic step edges and quantum mechanical particles (spinless fermions). The direction along the step edge is equivalent to the time, while the direction perpendicular to the step corresponds to the one-dimensional space along which the quantum mechanical particles are located. The non-crossing condition of the steps, giving rise to entropic repulsion, is related to the boundary condition of the wavefunction of a quantum mechanical particle at an infinitely high barrier. Finally, the step edge stiffness can be related to the mass of the quantum mechanical particle.

KW - METIS-128919

KW - IR-24120

U2 - 10.1016/0038-1098(95)00070-4

DO - 10.1016/0038-1098(95)00070-4

M3 - Article

VL - 94

SP - 677

EP - 680

JO - Solid state communications

JF - Solid state communications

SN - 0038-1098

IS - 94

ER -