A Metamaterial-Inspired Model for Electron Waves in Bulk Semiconductors

Abstract

Based on an analogy with electromagnetic metamaterials, we develop an effective medium description for the propagation of electron matter waves in bulk semiconductors with a zincblende structure. It is formally demonstrated that even though departing from a different starting point, our theory gives results for the energy stationary states consistent with Bastard's envelope function approximation in the long-wavelength limit. Using the proposed approach, we discuss the time evolution of a wave packet in a bulk semiconductor with a zero-gap and linear energy-momentum dispersion.

43 pages, 4 figures

References in corpus (8)

• The electronic properties of graphene
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• First-Principle Homogenization Theory for Periodic Metamaterials
• Engineering artificial graphene in a two-dimensional electron gas
• An Effective Medium Approach to Electron Waves: Graphene Superlattices
• Metamaterial inspired perfect tunneling in semiconductor heterostructures
• Kane-Like Electrons in Type II/III Heterostructures versus Dirac-Like Electrons in Graphene
• Transformation Electronics: Tailoring Electron's Effective Mass

Cited by in corpus (5)

• Effective Hamiltonian for electron waves in artificial graphene: A first principles derivation
• Embedded Energy State in an Open Semiconductor Heterostructure
• Giant nonlinearity in Zero-Gap Semiconductor Superlattices
• Curved non-interacting two-dimensional electron gas with anisotropic mass
• A Perfect Lens for Ballistic Electrons: A Kane's Model