Bales-Zangwill meandering instability observed in homoepitaxial step-flow growth

Schwenger, L.; Folkerts, R.; Ernst, H.-J.

doi:10.1103/physrevb.55.r7406

Cited by 34 publications

(22 citation statements)

References 2 publications

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“…The corresponding kink Ehrlich-Schwoebel effect ͑KESE͒ leads to growth of unstable structures at the step edges with a dynamically selected wavelength. 4 The ledge instabilities were originally found and reported experimentally on the Cu͑1,1,17͒ vicinal surface 5 but attributed to the BZI scenario. More recent STM experiments on the Cu͑1,1,17͒ surface proposed that the formation of the regular patterns is due to the KESE.…”

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Morphology of ledge patterns during step flow growth of metal surfaces vicinal to fcc (001)

et al. 2002

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The morphological development of step edge patterns in the presence of meandering instability during step flow growth is studied by simulations and numerical integration of a continuum model. It is demonstrated that the kink Ehrlich-Schwoebel barrier responsible for the instability leads to an invariant shape of the step profiles. The step morphologies change with increasing coverage from a somewhat triangular shape to a more flat, invariant steady state form. The average pattern shape extracted from the simulations is shown to be in good agreement with that obtained from numerical integration of the continuum theory.

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Morphology of ledge patterns during step flow growth of metal surfaces vicinal to fcc (001)

et al. 2002

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“…This is in contrast to the so-called Bales-Zangwill instability (BZI) [6] which tends to destabilize the 1D ledge morphology during growth because of terrace diffusion and step crossing, with no assumptions about line diffusion along the ledge. Ledge instabilities were originally found and reported experimentally on Cu(1,1,17) vicinal surfaces [7] but attributed to the BZI scenario. More recent experiments on the Cu (1,1,17) surface propose that the KESE instability may lead to formation of regularly shaped patterns with dynamical wavelength selection [8].…”

Section: (Received 14 November 2000)mentioning

confidence: 99%

Instability and Wavelength Selection during Step Flow Growth of Metal Surfaces Vicinal to fcc(001)

et al. 2001

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We study the onset and development of ledge instabilities during growth of vicinal metal surfaces using kinetic Monte Carlo simulations. We observe the formation of periodic patterns at [110] close packed step edges on surfaces vicinal to fcc(001) under realistic molecular beam epitaxy conditions. The corresponding wavelength and its temperature dependence are studied by monitoring the autocorrelation function for step edge position. Simulations suggest that the ledge instability on fcc(1,1,m) vicinal surfaces is controlled by the strong kink Ehrlich-Schwoebel barrier, with the wavelength determined by dimer nucleation at the step edge. Our results are in agreement with recent continuum theoretical predictions, and experiments on Cu(1,1,17) vicinal surfaces.

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“…The asymmetry in the diffusion field results either from the energy barrier suppressing the interlayer transport (the Ehrlich-Schwoebel effect [6][7][8][9][10]) or from the drift of adatoms due to the external field (for instance, the electromigration [11,12]). In Si(111), a direct electric current is shown to induce the bunching instability [13,14], and this is attributed to the drift of adatoms perpendicular to the steps [3,[15][16][17][18][19].…”

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Control of Chaotic Wandering of an Isolated Step by the Drift of Adatoms

1998

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The drift of adatoms strongly influences the wandering pattern of an isolated step moving in a surface diffusion field. When the drift velocity has a component against the step motion and exceeds a critical value, the straight step becomes unstable with long wavelength fluctuations, and wanders. This wandering pattern can be controlled by changing the direction of the drift. When the drift has no component parallel to the step edge, the unstable step obeys the Kuramoto-Sivashinsky equation and shows a chaotic pattern. When the drift has a component parallel to the step edge, the step obeys the Benney equation. If the parallel component is sufficiently large, the step shows a regular pattern.[ S0031-9007(98)

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Bales-Zangwill meandering instability observed in homoepitaxial step-flow growth

Cited by 34 publications

References 2 publications

Morphology of ledge patterns during step flow growth of metal surfaces vicinal to fcc (001)

Morphology of ledge patterns during step flow growth of metal surfaces vicinal to fcc (001)

Instability and Wavelength Selection during Step Flow Growth of Metal Surfaces Vicinal to fcc(001)

Control of Chaotic Wandering of an Isolated Step by the Drift of Adatoms

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