Chiral diffraction from aperiodic monotile structure

Area of Science:

• Condensed Matter Physics
• Materials Science
• Crystallography

Background:

• Aperiodic systems, including quasiperiodic structures, display unique properties compared to periodic materials.
• The discovery of the aperiodic monotile by Smith et al. in 2023 provided a single-tile shape capable of aperiodic plane tessellation.

Purpose of the Study:

• To propose and investigate a quasiperiodic structure utilizing the aperiodic monotile.
• To explore the symmetry, quasicrystalline properties, and chiral characteristics of this novel structure.

Main Methods:

• Utilized the aperiodic monotile for constructing a quasiperiodic structure with C3 symmetry but lacking mirror symmetry.
• Conducted diffraction experiments to analyze the structure's properties.
• Investigated chiral properties through diffraction patterns and circular polarization dependence.

Main Results:

• The proposed structure exhibits clear Bragg peaks, indicating quasicrystalline behavior.
• Observed pinwheel-like diffraction patterns and unconventional circular-polarization-dependent behavior, confirming chirality.
• Demonstrated independence of illumination position, a hallmark of quasicrystalline systems.

Conclusions:

• Established a novel chiral quasiperiodic structure with unique properties.
• Highlighted the potential of this structure as a platform for studying aperiodic systems beyond traditional quasicrystals.
• Broadened the understanding of nonperiodic structures and their applications.