Domain-walls formation in binary nanoscopic finite systems
A. Patrykiejew, S. Soko{\l}owski

TL;DR
This paper investigates how impurities at the edges of finite systems induce commensurate-incommensurate transitions, demonstrated through a 1D Frenkel-Kontorowa model and 2D Monte Carlo simulations.
Contribution
It reveals the role of edge impurities in triggering C-IC transitions in finite systems, extending understanding from 1D models to 2D clusters.
Findings
Impurities at chain ends induce C-IC transition in 1D systems.
Edge impurities cause similar transitions in 2D finite clusters.
Finite systems exhibit phase transitions influenced by boundary impurities.
Abstract
Using a simple one-dimensional Frenkel-Kontorowa type model, we have demonstrated that finite commensurate chains may undergo the commensurate-incommensurate (C-IC) transition when the chain is contaminated by isolated impurities attached to the chain ends. Monte Carlo (MC) simulation has shown that the same phenomenon appears in two-dimensional systems with impurities located at the peripheries of finite commensurate clusters.
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