Triangle anomaly in Weyl semi-metals

TL;DR

This paper explores the unique effects of triangle anomalies in Weyl semimetals, proposing novel phenomena like anomaly cooling, soliton wave charge transport, and shifts in phase transitions, with conditions for chiral magnetic current applicability.

Contribution

It introduces three new phenomena caused by triangle anomalies in Weyl semimetals and establishes conditions for the chiral magnetic current in real materials.

Findings

Proposes anomaly cooling as a new effect.

Describes charge transport via soliton waves.

Identifies conditions for chiral magnetic current.

Abstract

Weyl semimetals possess massless chiral quasi-particles, and are thus affected by the triangle anomalies. We discuss the features of the chiral magnetic and chiral vortical effects specific to Weyl semimetals, and then propose three novel phenomena caused by the triangle anomalies in this material: 1) anomaly cooling; 2) charge transport by soliton waves as described by the Burgers' equation, and 3) the shift of the BKT phase transition of superfluid vortices coupled to Weyl fermions. In addition, we establish the conditions under which the chiral magnetic current exists in real materials.