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Self-similar conductance patterns in graphene Cantor-like structures.
H García-Cervantes1, L M Gaggero-Sager2, D S Díaz-Guerrero1
1Centro de Investigación en Ciencias, Instituto de Investigaciones en Ciencias Básicas y Aplicadas, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col Chamilpa, 62209, Cuernavaca Morelos, Mexico.
Scientific Reports
|April 6, 2017
Summary
Graphene nanostructuring creates self-similar conductance patterns. These findings reveal surprising scaling rules in electron transport, offering experimental avenues for fundamental property testing.
Area of Science:
- Condensed matter physics
- Materials science
Background:
- Graphene exhibits exotic electron transport phenomena.
- Nanostructuring offers a route to engineer graphene's electronic properties.
Purpose of the Study:
- To investigate electron transport in nanostructured graphene.
- To identify and analyze self-similar patterns in graphene's conductance.
Main Methods:
- Fabrication of graphene sheets with Cantor-like nanostructures.
- Measurement of linear-regime conductance.
- Quantitative analysis of conductance patterns and scaling rules.
Main Results:
- Observed self-similar patterns in the linear-regime conductance of nanostructured graphene.
- Identified well-defined scaling rules underlying these patterns.
- Demonstrated a rare instance of self-similar structure yielding self-similar physical properties.
Conclusions:
- Cantor-like nanostructuring induces self-similar conductance patterns in graphene.
- The observed scaling rules in averaged transport properties are surprising and significant.
- This system provides a promising experimental platform for studying self-similarity in physical properties.