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Shape-interaction dualism: unraveling complex phase behavior in triangular particle monolayers.

S S Akimenko1, V A Gorbunov1, A V Myshlyavtsev1

  • 1Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Ave. 11, Omsk 644050, Russia.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 2, 2024
PubMed
Summary
This summary is machine-generated.

Finite interactions drive self-assembly of triangular particles into ordered structures, forming a

Keywords:
Monte Carloadsorptionmodelingphase diagramphase transitiontensor renormalization group

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Materials Science

Background:

  • Self-assembly is crucial for creating ordered materials.
  • Lattice models are used to study particle interactions and emergent structures.
  • Understanding phase transitions is key to controlling material properties.

Purpose of the Study:

  • Investigate the impact of finite attractive and repulsive interactions on particle self-assembly.
  • Analyze the formation of ordered structures in a triangular lattice model.
  • Explore the persistence of these structures at finite temperatures and their relation to phase transitions.

Main Methods:

  • Ground state analysis of the lattice model.
  • Finite temperature simulations using transfer-matrix methods.
  • Tensor renormalization group (TRG) calculations for validation.

Main Results:

  • Identified an infinite sequence of ordered structures, termed the 'devil's staircase'.
  • Confirmed the stability of initial 'devil's staircase' structures at non-zero temperatures.
  • Demonstrated that increasing attraction or decreasing temperature reveals new ordered structures.

Conclusions:

  • Finite interactions lead to complex self-assembly behavior and a rich phase diagram.
  • The 'devil's staircase' phenomenon is robust at finite temperatures.
  • The model qualitatively reproduces experimental observations of trimesic acid adsorption.