Momentum relaxation of holographic Weyl semimetal from massive gravity

TL;DR

This paper investigates how momentum relaxation, modeled via massive gravity, influences topological phase transitions in holographic Weyl semimetals, revealing a critical graviton mass where the topological phase vanishes.

Contribution

It demonstrates that increasing graviton mass reduces the critical point of phase transition and identifies a universal feature in momentum relaxed holographic Weyl semimetals.

Findings

Critical phase transition point decreases with graviton mass.

Existence of a critical graviton mass where topological phase disappears.

Universal behavior similar to axion field induced momentum relaxation.

Abstract

We consider the effects of momentum relaxation on the topological quantum phase transitions in holographic Weyl semimetals. The translational symmetry breaking in the field theory is realized in the framework of massive gravity. We find that the critical value of the phase transition, characterized by the anomalous Hall conductivity, decreases with the increasing of graviton mass, i.e. the momentum relaxation strength. There exists a critical value of graviton mass above which the topological phase transition disappears and therefore the Weyl points are destroyed. All these phenomena are qualitatively similar to that of axion fields induced momentum relaxation, indicating that a universal feature emerges in the momentum relaxed holographic Weyl semimetals, which is also consistent with the predictions from weakly coupled field theory.