# Anomalous spatial shifts in interface electronic scattering

## TL;DR

This paper reviews recent discoveries of anomalous spatial shifts in electronic interface scattering, including effects analogous to optics and shifts arising from unconventional superconducting pair potentials.

## Contribution

It provides a comprehensive overview of the physical mechanisms and theoretical understanding of anomalous spatial shifts in electronic scattering at interfaces, highlighting recent advances.

## Key findings

- Transverse shifts can occur at normal/superconductor interfaces.
- Shifts depend on superconducting pairing symmetry.
- Unconventional superconductors induce characteristic shifts.

## Abstract

The anomalous spatial shifts at interface scattering, first studied in geometric optics, recently found their counterparts in the electronic context. It was shown that both longitudinal and transverse shifts, analogous to the Goos-Hanchen and Imbert-Fedorov effects in optics, can exist when electrons are scattered at a junction interface. More interestingly, the shifts are also discovered in the process of Andreev reflection at a normal/superconductor interface. Particularly, for the case with unconventional superconductors, it was discovered that the transverse shift can arise solely from the superconducting pair potential and exhibit characteristic features depending on the pairing. Here, we briefly review the recent works in this field, with an emphasis on the physical picture and theoretical understanding.