Non-Abelian charge conversion in bilayer binary honeycomb lattice systems

TL;DR

This paper proposes bilayer binary honeycomb lattices as a new platform to experimentally observe non-Abelian charge conversion phenomena in Dirac nodes, using tunable parameters like layer sliding and pressure.

Contribution

It introduces BBHL systems as a feasible material platform for studying non-Abelian topological charges and their braiding in condensed matter physics.

Findings

Layer sliding and pressure control DN braiding in BBHL.

Demonstrates BBHL as promising for experimental non-Abelian phenomena.

Links stacking-dependent properties to non-Abelian charge dynamics.

Abstract

In two-dimensional systems with space-time inversion symmetry, Dirac nodes (DNs) carry non-Abelian topological charges which induce intriguing momentum space braiding phenomenon. Although the original idea was proposed in condensed matter setup, the experimental verification of non-Abelian charge conversion has been limited to artificial metamaterials because of the difficulty in identifying suitable materials in which controlled tuning of DN positions is possible. In this work, we propose bilayer binary honeycomb lattices (BBHL) as a new material platform to study the non-Abelian charge conversion phenomenon in which DN positions in momentum space can be manipulated. More explicitly, we demonstrate that layer sliding and vertical pressure serve as tunable braiding parameters controlling the non-Abelian charge conversion process which is crucial to understand the stacking-dependent electronic properties of BBHL systems. We show that the BBHL systems are a promising candidate for the experimental realization of non-Abelian phenomena of DNs in condensed matter.