Understanding magnetic focusing in graphene $p$-$n$ junctions through quantum modeling

Abstract

We present a quantum model which provides enhanced understanding of recent transverse magnetic focusing experiments on graphene $p$-$n$ junctions. Spatially resolved flow maps of local particle current density show quantum interference and $p$-$n$ junction filtering effects which are crucial to explaining the device operation. The Landauer-Büttiker formula is used alongside dephasing edge contacts to give exceptional agreement between simulated non-local resistance and the recent experiment by Chen $\text{et al}$ ($\text{Science}$, 2016). The origin of positive and negative focusing resonances and off resonance characteristics are explained in terms of quantum transmission functions. Our model also captures subtle features from experiment, such as the previously unexplained $p$-$p^{-}$ to $p$-$p^{+}$ transition and the second $p$-$n$ focusing resonance.

References in corpus (20)

• Electric Field Effect in Atomically Thin Carbon Films
• Chiral tunneling and the Klein paradox in graphene
• Andreev reflection and Klein tunneling in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Electron optics with ballistic graphene junctions
• Quantized Transport in Graphene p-n Junctions in Magnetic Field
• Ballistic miniband conduction in a graphene superlattice
• Snake Trajectories in Ultraclean Graphene p-n Junctions
• Scalable Tight-Binding Model for Graphene
• Snake States in Graphene p-n Junctions
• Imaging Cyclotron Orbits of Electrons in Graphene
• Creating and Steering Highly Directional Electron Beams in Graphene
• Graphene n-p junction in a strong magnetic field: a semiclassical study
• Theory of Landau level mixing in heavily graded graphene p-n junctions
• Interplay between snake and quantum edge states in a graphene Hall bar with a pn-junction
• Imaging snake orbits at graphene n-p junctions
• Lorentz force effects for graphene Aharonov-Bohm interferometers
• Classical and quantum magneto-oscillations of current flow near a p-n junction in graphene
• Inter-Edge Backscattering in Buried Split-Gate-Defined Graphene Quantum Point Contacts

Cited by in corpus (5)

• A Two-dimensional Dirac fermion microscope
• Precision measurement of electron-electron scattering in GaAs/AlGaAs using transverse magnetic focusing
• Large-scale tight-binding simulations of quantum transport in ballistic graphene
• Electron collimation at van der Waals domain walls in bilayer graphene
• Transverse magnetic focusing in two-dimensional hole gases