Gate-tunable electron focusing across graphene p-n junction

ORAL

Abstract

Electrons moving across a ballistic semiconductor junction experience a change in trajectory described by an electronic version of Snell's law. In the case of a barrier separating regions of $n$ and $p $type carriers, negative refraction is expected, which theoretically leads to a Veselago type of electron focusing. Being a ballistic bipolar 2D system, hexagonal Boron Nitride-encapsulated graphene is expected to be a model a system to realize this effect, however, robust demonstration of veselago lensing has remained limited. We describe novel methods to fabricate high quality graphene p-n junctions with atomically sharp boundaries. Using a magnetic focusing measurement scheme, we demonstrate unambiguous signatures of negative refraction in these devices. Our observations are in good agreement with simulations and shed light on future application for electronic optics in ballistic graphene.

Authors

  • Shaowen Chen

    Columbia University

  • Zheng Han

    Institute of Metal Research, Chinese Academy of Sciences

  • Lei Wang

    Cornell University, Columbia University

  • Cory Dean

    Columbia University, Department of Physics, Columbia University

  • James Hone

    Columbia Universtiy in the City of New York, Columbia University, Department of Mechanical Engineering, Columbia University, New York, NY 10027, USA, columbia univerisity