Anisotropic transport of normal metal-barrier-normal metal junctions in monolayer phosphorene

Abstract

We study transport properties of a phosphorene monolayer in the presence of single and multiple potential barriers of height $U_0$ and width $d$, using both continuum and microscopic lattice models, and show that the nature of electron transport along its armchair edge ($x$ direction) is qualitatively different from its counterpart in both conventional two-dimensional electron gas with Schrödinger-like quasiparticles and graphene or surfaces of topological insulators hosting massless Dirac quasiparticles. We show that the transport, mediated by massive Dirac electrons, allows one to achieve collimated quasiparticle motion along $x$ and thus makes monolayer phosphorene an ideal experimental platform for studying Klein paradox. We study the dependence of the tunneling conductance $G\equiv G_{xx}$ as a function of $d$ and $U_0$, and demonstrate that for a given applied voltage $V$ its behavior changes from oscillatory to decaying function of $d$ for a range of $U_0$ with finite non-zero upper and lower bounds, and provide analytical expression for these bounds within which $G$ decays with $d$. We contrast such behavior of $G$ with that of massless Dirac electrons in graphene and also with that along the zigzag edge ($y$ direction) in phosphorene where the quasiparticles obey an effective Schrödinger equation at low energy. We also study transport through multiple barriers along $x$ and demonstrate that these properties hold for transport through multiple barrier as well. Finally, we suggest concrete experiments which may verify our theoretical predictions.

v1; 11+ pages, 12 figs

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Cited by in corpus (7)

• Anisotropic plasmons, excitons and electron energy loss spectroscopy of phosphorene
• Electron optics in phosphorene pn junctions: Negative reflection and anti super-Klein tunneling
• Strain-tunable charge carrier mobility of atomically thin phosphorus allotropes
• Phosphorene pnp junctions as perfect electron waveguides
• Electronic cloaking of confined states in phosphorene junctions
• Tunneling Effect in Gapped Phosphorene through Double Barriers
• Tunable wavevector filtering in borophane based normal metal-barrier-normal metal junctions