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Published on: September 21, 2020
Transmission and scarring in graphene quantum dots
Liang Huang1, Ying-Cheng Lai, David K Ferry
1Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287, USA.
Summary
We investigated electronic transport in graphene quantum dots, finding that quantum scarring states cause significant transmission fluctuations. Increasing dot size enhances these fluctuations, impacting electron flow.
Area of Science:
- Condensed Matter Physics
- Materials Science
Background:
- Graphene quantum dots are promising for electronic devices.
- Understanding electron transport in these structures is crucial.
Purpose of the Study:
- To investigate electronic transport in rectangular graphene quantum dots.
- To analyze the relationship between transmission fluctuations and quantum scarring states.
Main Methods:
- Utilized the non-equilibrium Green's function method.
- Calculated transmission within the tight-binding framework.
- Focused on rectangular quantum dot geometry.
Main Results:
- Observed significant, energy-dependent transmission fluctuations.
- Correlated fluctuations with the formation of quantum scarring (pointer) states.
- Found both transmission enhancement and suppression.
- Noted that larger dots exhibit stronger fluctuations due to more scarring states.
Conclusions:
- Quantum scarring states significantly influence electronic transport in graphene quantum dots.
- Transmission characteristics are tunable by controlling dot size and scarring state formation.
- Graphene quantum dots offer potential for novel electronic transport phenomena.

