Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials

Abstract

We study the effect of a non-Abelian SU(2) gauge potential on the topological semimetal induced by a magnetic field having π-flux per plaquette and acting on fermions in a cubic lattice. The Abelian π-flux term gives rise to a spectrum characterized by Weyl points. When the non-Abelian part is turned on, due to the presence of a C4 rotation symmetry, the Weyl points assume a quadratic dispersion along two directions and constitute double monopoles for the Berry curvature. We examine both analytically and numerically the main features of this system, focusing on its gapless surface modes, the so-called Fermi arcs. We discuss the stability of the system under confining hard-wall and harmonic potentials, relevant for the implementation in ultracold atom settings, and the effect of rotation symmetry breaking.

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• Geometrically protected triple-point crossings in an optical lattice
• Fully spin-polarized double-Weyl fermions with type-III dispersion in quasi-one dimensional materials X2RhF6 (X=K, Rb, Cs)
• Kondo Effect with Weyl Semimetal Fermi Arcs
• Multiple Weyl and Double-Weyl Points in an Elastic Chiral Lattice
• Axial anomaly in multi-Weyl and triple-point semimetals
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• Weyl points and topological nodal superfluids in a face-centered cubic optical lattice
• Chirality flip of Weyl nodes and its manifestation in strained MoTe${}_2$
• Topological metal bands with double-triple-point fermions in optical lattices
• Sixfold fermion near the Fermi level in cubic PtBi2
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Topological van Hove singularities at phase transitions in Weyl metals
• Electronic properties of strained double-Weyl systems
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• Generating Weyl semimetals from alkali metals
• Synthesis of Majorana mass terms in low-energy quantum systems