Note on "Diffusive quantum criticality in three-dimensional disordered Dirac semimetals"

TL;DR

This paper revises previous findings on critical exponents in disordered Dirac semimetals, highlighting limitations of the epsilon-expansion approach near two dimensions for three-dimensional systems.

Contribution

It corrects earlier erroneous conclusions and questions the reliability of epsilon-expansion methods for analyzing 3D disordered Dirac semimetal quantum phase transitions.

Findings

Previous critical exponents were incorrect.

Epsilon-expansion near two dimensions may not be reliable for 3D systems.

Highlights the need for alternative approaches to study disorder-driven transitions.

Abstract

We correct erroneous conclusions from Ref.[1] regarding the values of various critical exponents, calculated to the two-loop order, and argue that $\epsilon$-expansion near two spatial dimension, with $\epsilon=d-2$ may not be reliable to address the critical properties of disorder driven Dirac semimetal-metal quantum phase transition in $d=3$.