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Aperiodicity in Low Dimensions.

Pavel V Avramov1,2, Hao Tian1, Li Li1

  • 1School of Physics, Harbin Institute of Technology, Harbin 150001, China.

Materials (Basel, Switzerland)
|February 13, 2026
PubMed
Summary
This summary is machine-generated.

Low-dimensional crystalline solids can lose periodicity due to various factors, leading to unique electronic and spin properties in nanoscale particles. This study explores the origins and consequences of aperiodicity in these fascinating materials.

Keywords:
aperiodic crystalsdecahedral symmetryicosahedral symmetrylow-dimensional solidsmultiply twinned particlesnanodiamondsquasicrystalsspin degeneracysymmetry breaking

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Nanotechnology

Background:

  • Periodicity is a fundamental concept in crystalline solids.
  • Low-dimensional systems exhibit unique behaviors due to reduced dimensionality.
  • Aperiodicity can arise from various physical mechanisms.

Purpose of the Study:

  • To comparatively analyze the structure and physical properties of low-dimensional aperiodic crystalline solids.
  • To elucidate the origin and nature of aperiodicity in reduced-dimensional lattices.
  • To investigate the electronic and spin properties of nanoscale aperiodic materials.

Main Methods:

  • Review of theoretical and experimental studies on low-dimensional crystalline solids.
  • Analysis of mechanisms causing breakdown of periodicity (force constants, instabilities, topological constraints).
  • Focus on multiply twinned particles (MTPs) with decahedral and icosahedral symmetry.

Main Results:

  • Aperiodicity in low-dimensional systems stems from suppressed force constants, instabilities, and topological constraints.
  • Nanoscale MTPs (decahedral, icosahedral) are finite aperiodic solids with intrinsic strain.
  • Icosahedral MTPs show symmetry-protected spin degeneracy; decahedral MTPs may exhibit spin polarization and magnetism.

Conclusions:

  • Low-dimensional aperiodicity has diverse physical origins and manifestations.
  • Nanoscale MTPs serve as model systems for studying aperiodicity.
  • Understanding aperiodicity is crucial for predicting and controlling electronic and spin properties in nanomaterials.