Are waves all localized in two dimensional random media?

TL;DR

This paper questions the long-held belief that all waves are localized in two-dimensional random media, highlighting the lack of conclusive evidence and suggesting that waves may not always be localized in such systems.

Contribution

It challenges the prevailing view by analyzing recent evidence and reasons, proposing that wave localization in 2D systems is not definitively established.

Findings

Recent evidence questions universal localization in 2D

Lack of conclusive support for all waves being localized

Waves may not necessarily localize in 2D random media

Abstract

It has been the dominant view for over two decades that all waves are localized in two dimensions for any given amount of disorder. Here, I would like to raise questions about this assertion. The discussion leads to the conclusion that there is a lack of the conclusive and definite support of the claim. Rather, the recent evidence tends to indicate that waves are not necessarily always localized in two dimensional random systems. Reasons are elaborated.