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Electron optics with p-n junctions in ballistic graphene
Shaowen Chen1, Zheng Han2, Mirza M Elahi3
1Department of Physics, Columbia University, New York, NY 10027, USA. Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027, USA.
Summary
Electrons refract like light in graphene p-n junctions, showing positive and negative bending. This confirms Snell
Area of Science:
- Condensed matter physics
- Materials science
- Nanotechnology
Background:
- Electrons in semiconductors exhibit wave-like properties, including refraction at junctions.
- Graphene's unique electronic structure allows for highly transparent p-n junctions via electrostatic gating.
Purpose of the Study:
- To experimentally investigate electron refraction at graphene p-n junctions.
- To validate Snell's law for charge carriers in graphene.
- To understand the impact of junction width on carrier transmission.
Main Methods:
- Utilizing transverse magnetic focusing to track electron trajectories.
- Fabricating electrostatically defined graphene p-n junctions.
- Measuring angle-dependent transmission coefficients via resonant tunneling.
Main Results:
- Observed electron refraction consistent with Snell's law, including both positive and negative refraction.
- Demonstrated resonant transmission across the graphene p-n junction.
- Experimental data aligned with simulations, highlighting the importance of effective junction width.
Conclusions:
- Graphene p-n junctions exhibit electron optics phenomena analogous to classical optics.
- The study validates theoretical predictions and provides insights for designing graphene-based electronic devices.
- This work opens avenues for novel applications in electron optics and quantum electronics.
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