Graphene Electron States in a Quantum Well

Abstract

The paper reports on theoretical estimation for electron spectra of free-standing graphene monolayer in presence of a rectangular quantum well. We have shown that 1D quasi-localized states localized mainly in the quantum well may exist, forming a peculiar quantum "rod" in a grapheme monolayer. Conventional hole tunneling through the quantum well is also described in addition to Klein tunneling usually considered in such structure.