Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular Automata

Different patterns can be created on the surface of growing crystals, among which the step bunches and/or step meanders are two of the most studied. The Ehrlich–Schwoebel effect at the surface steps is considered one of the “usual suspects” of such patterning. A direct step barrier is when it is eas...

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Main Authors: Magdalena Załuska-Kotur, Hristina Popova, Vesselin Tonchev
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/11/9/1135
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author Magdalena Załuska-Kotur
Hristina Popova
Vesselin Tonchev
author_facet Magdalena Załuska-Kotur
Hristina Popova
Vesselin Tonchev
author_sort Magdalena Załuska-Kotur
collection DOAJ
description Different patterns can be created on the surface of growing crystals, among which the step bunches and/or step meanders are two of the most studied. The Ehrlich–Schwoebel effect at the surface steps is considered one of the “usual suspects” of such patterning. A direct step barrier is when it is easier to attach a particle to the step from the lower terrace than from the upper terrace. Thus, during the process of crystal growth leads to the formation of meanders, while an inverse barrier leads to step bunching. Based on our vicinal Cellular Automaton model, but this time in (2 + 1)D, we show that the combination of a direct and inverse step barrier and the proper selection of the potential of the well between them leads to the formation of bunched step structures. Following this is the formation of anti-bands. In addition, changing the height of the direct step barrier leads to the growth of nanocolumns, nanowires, and nanopyramids or meanders, in the same system.
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spelling doaj.art-05a811d606a84a3eb2b339ae682c387f2023-11-22T12:36:26ZengMDPI AGCrystals2073-43522021-09-01119113510.3390/cryst11091135Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular AutomataMagdalena Załuska-Kotur0Hristina Popova1Vesselin Tonchev2Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, PolandInstitute of Physical Chemistry, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 11, 1113 Sofia, BulgariaFaculty of Physics, Sofia University, 5 James Bourchier blvd., 1164 Sofia, BulgariaDifferent patterns can be created on the surface of growing crystals, among which the step bunches and/or step meanders are two of the most studied. The Ehrlich–Schwoebel effect at the surface steps is considered one of the “usual suspects” of such patterning. A direct step barrier is when it is easier to attach a particle to the step from the lower terrace than from the upper terrace. Thus, during the process of crystal growth leads to the formation of meanders, while an inverse barrier leads to step bunching. Based on our vicinal Cellular Automaton model, but this time in (2 + 1)D, we show that the combination of a direct and inverse step barrier and the proper selection of the potential of the well between them leads to the formation of bunched step structures. Following this is the formation of anti-bands. In addition, changing the height of the direct step barrier leads to the growth of nanocolumns, nanowires, and nanopyramids or meanders, in the same system.https://www.mdpi.com/2073-4352/11/9/1135crystal growth and instabilitiesvicinal surfacessurface patterningstep bunching and meanderingcellular automatananowires
spellingShingle Magdalena Załuska-Kotur
Hristina Popova
Vesselin Tonchev
Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular Automata
Crystals
crystal growth and instabilities
vicinal surfaces
surface patterning
step bunching and meandering
cellular automata
nanowires
title Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular Automata
title_full Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular Automata
title_fullStr Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular Automata
title_full_unstemmed Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular Automata
title_short Step Bunches, Nanowires and Other Vicinal “Creatures”—Ehrlich–Schwoebel Effect by Cellular Automata
title_sort step bunches nanowires and other vicinal creatures ehrlich schwoebel effect by cellular automata
topic crystal growth and instabilities
vicinal surfaces
surface patterning
step bunching and meandering
cellular automata
nanowires
url https://www.mdpi.com/2073-4352/11/9/1135
work_keys_str_mv AT magdalenazałuskakotur stepbunchesnanowiresandothervicinalcreaturesehrlichschwoebeleffectbycellularautomata
AT hristinapopova stepbunchesnanowiresandothervicinalcreaturesehrlichschwoebeleffectbycellularautomata
AT vesselintonchev stepbunchesnanowiresandothervicinalcreaturesehrlichschwoebeleffectbycellularautomata