Quantum phase transitions of a disordered antiferromagnetic topological insulator

Abstract

We study the effect of electrostatic disorder on the conductivity of a three-dimensional antiferromagnetic insulator (a stack of quantum anomalous Hall layers with staggered magnetization). The phase diagram contains regions where the increase of disorder first causes the appearance of surface conduction (via a topological phase transition), followed by the appearance of bulk conduction (via a metal-insulator transition). The conducting surface states are stabilized by an effective time-reversal symmetry that is broken locally by the disorder but restored on long length scales. A simple self-consistent Born approximation reliably locates the boundaries of this socalled "statistical" topological phase.

7 pages, 7 figures; v2 shows updated figures

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• Antiferromagnetic topological insulators
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• Topological Anderson Insulator
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• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
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• ${\mathcal{Z}}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator
• Transmission properties of microwaves at an optical Weyl point in a three-dimensional chiral photonic crystal
• Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals
• Topological Aspects of Antiferromagnets
• Recent progress on disorder-induced topological phases
• Disorder correction to the minimal conductance of a nodal-point semimetal