A Perfect Lens for Ballistic Electrons: A Kane's Model

TL;DR

This paper develops a theoretical framework for a quantum metamaterial lens for ballistic electrons using Kane's model, discussing restrictions and proposing a realistic implementation with HgTe compounds.

Contribution

It introduces a quantum version of a metamaterial lens for ballistic electrons based on Kane's model and proposes a feasible implementation with HgTe.

Findings

Transmission of oblique electrons through the lens is calculated.

Restrictions due to semiconductor band structures are analyzed.

A realistic HgTe-based quantum lens design is proposed.

Abstract

The analogy between electromagnetic waves and ballistic electrons within the Kane's model is developed and subsequently applied to a theoretical description of a quantum version of a metamaterial planar lens. Restrictions imposed on the perfect lens and the poor man's lens by available semiconductor band structures are discussed. A realistic implementation is proposed for the quantum poor man's lens, which uses specific properties of the HgTe compound. The properties of the lens are presented on the basis of a calculated transmission of oblique electrons through the lens structure.