Unveiling Electron Optics in Two-Dimensional Materials by Nonlocal Resistance Mapping.

Area of Science:

• Condensed matter physics
• Mesoscopic physics
• Quantum transport

Background:

• Electron optics experiments are crucial for understanding quantum phenomena.
• Current methods for mapping electron transport can be limited in resolution and scope.
• Isolating specific transport contributions is challenging.

Purpose of the Study:

• To introduce a novel technique for mapping transport in electron optics experiments.
• To demonstrate the isolation and reconstruction of ballistic transport from a single lead.
• To propose an experimental setup for Veselago lensing in graphene and extend the method for complex electron optics.

Main Methods:

• Utilizing nonlocal resistance measurements and tight-binding transport simulations.
• Employing a four-terminal measurement to isolate ballistic transport.
• Developing a scanning probe technique for detailed mapping.

Main Results:

• Successfully demonstrated the isolation of ballistic transport contribution to the local density of states.
• Proposed an experimentally feasible four-terminal device for Veselago lensing in graphene p-n junctions.
• Extended the technique for mapping complex electron optics phenomena like angled junctions and beam steering.

Conclusions:

• The proposed technique offers a powerful new approach for electron optics experiments.
• Highlights the critical role of electron dephasing in ballistic transport.
• Provides practical guidelines for signal isolation and opens avenues for exploring 2D materials.