Electronic analogy of Goos-H\"{a}nchen effect: a review

TL;DR

This review explores the electronic analogs of the optical Goos-H"{a}nchen} effect in nanostructures, highlighting theoretical advances, controllability, and potential applications in electronic devices such as beam splitters.

Contribution

It provides a comprehensive overview of the progress and theoretical results on electronic Goos-H"{a}nchen} shifts in semiconductor and graphene nanostructures, emphasizing optical analogies and device applications.

Findings

Giant positive and negative Goos-H"{a}nchen} shifts observed in nanostructures

Controllability of electronic Goos-H"{a}nchen} shifts demonstrated

Potential applications in spin and valley beam splitters

Abstract

The analogies between optical and electronic Goos-H\"{a}nchen effects are established based on electron wave optics in semiconductor or graphene-based nanostructures. In this paper, we give a brief overview of the progress achieved so far in the field of electronic Goos-H\"{a}nchen shifts, and show the relevant optical analogies. In particular, we present several theoretical results on the giant positive and negative Goos-H\"{a}nchen shifts in various semiconductor or graphen-based nanostructures, their controllability, and potential applications in electronic devices, e.g. spin (or valley) beam splitters.