Klein Backscattering and Fabry-Perot Interference in Graphene Heterojunctions

Abstract

We present a theory of quantum-coherent transport through a lateral p-n-p structure in graphene, which fully accounts for the interference of forward and backward scattering on the p-n interfaces. The backreflection amplitude changes sign at zero incidence angle because of the Klein phenomenon, adding a phase $\pi$ to the interference fringes. The contributions of the two p-n interfaces to the phase of the interference cancel with each other at zero magnetic field, but become imbalanced at a finite field. The resulting half a period shift in the Fabry-Perot fringe pattern, induced by a relatively weak magnetic field, can provide a clear signature of Klein scattering in graphene. This effect is shown to be robust in the presence of spatially inhomogeneous potential of moderate strength.

5 pgs, 4 fgs

References in corpus (14)

• Chiral tunneling and the Klein paradox in graphene
• Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
• Electronic Properties of Disordered Two-Dimensional Carbon
• Unconventional Integer Quantum Hall effect in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Transport measurements across a tunable potential barrier in graphene
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Quantum dots in graphene
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Conductance of p-n-p graphene structures with 'air-bridge' top gates
• Amplitude Spectroscopy of a Solid-State Artificial Atom
• Nonlinear screening and ballistic transport in a graphene p-n junction
• Effect of disorder on a graphene p-n junction

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