Cloaked Resonant States in Bilayer Graphene

Abstract

Charge carriers in bilayer graphene occupy two parabolic continua of electron-like and hole-like states which differ by the alignment between carrier pseudospin and its momentum, the property known as chirality. Due to chirality conservation, a strong confining potential can host unusual bound states: electron levels cloaked into the hole continuum. The energy levels and the wave functions of the cloaked states can be obtained by solving the Schr\"odinger equation for a massive non-chiral particle in the p-wave channel in two dimensions. Eventually, cloaked states slowly decay into the continuum, via trigonal warping effects. We discuss the key properties of cloaked states in circularly symmetric potentials, and show that cloaking should be observable in quantum corral geometries via scanning tunneling probe measurements.