Disorder in self-similar structure based graphene monolayer

Area of Science:

• Condensed Matter Physics
• Materials Science
• Nanotechnology

Background:

• Graphene monolayers exhibit unique electronic properties due to their 2D structure.
• Self-similar structures offer tunable electronic transport characteristics.
• Understanding the effects of structural disorder is crucial for graphene-based electronic devices.

Purpose of the Study:

• To investigate the influence of structural disorder on massive electron transport in self-similar graphene structures.
• To analyze the impact of different types of disorder on transmission coefficients and scaling rules.
• To assess the robustness of graphene's electronic properties and scaling laws against fabrication imperfections.

Main Methods:

• Utilized the transfer matrix formalism to calculate transmission coefficients for various generations of self-similar graphene structures.
• Introduced structural disorder by modifying total width, barrier energy, and individual barrier alterations.
• Examined the scaling rule governing transmission coefficients across different structural generations.

Main Results:

• Disorder significantly affects graphene's transport properties and self-similarity, particularly when the total width is modified.
• Altering only the barrier energy did not influence electronic or self-similar properties, highlighting the scaling rule's robustness.
• Independent disorder in each barrier maintained electronic stability but slightly affected the scaling rule.

Conclusions:

• Structural disorder, especially in total width, is a critical factor for electron transport in these graphene systems.
• The scaling rule demonstrates resilience to certain types of disorder, suggesting potential for reliable graphene device fabrication.
• Further research can explore optimized disorder management for enhanced graphene electronic applications.