PT invariant Weyl semimetals in gauge symmetric systems

Abstract

Weyl semimetals typically appear in systems in which either time-reversal (T) or inversion (P}) symmetry are broken. Here we show that in the presence of gauge potentials these topological states of matter can also arise in fermionic lattices preserving both T and P. We analyze in detail the case of a cubic lattice model with $\pi$-fluxes, discussing the role of gauge symmetries in the formation of Weyl points and the difference between the physical and the canonical T and P symmetries. Motivated by advances in ultracold atom experiments and by the possibility of using synthetic magnetic fields, we examine the robustness of the Weyl semimetal phase in the presence of trapping potentials and random perturbations of the magnetic fluxes, which can be compared to a local disorder in realistic scenarios.

Accepted for publication in Phys. Rev. B

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• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Axial anomaly in multi-Weyl and triple-point semimetals
• Chern numbers and chiral anomalies in Weyl butterflies
• Chirality flip of Weyl nodes and its manifestation in strained MoTe${}_2$
• Realising Type II Weyl Points in an Optical Lattice
• Strange correlators for topological quantum systems from bulk-boundary correspondence
• Topological van Hove singularities at phase transitions in Weyl metals
• Field theory approach to the quantum transport in Weyl semimetals
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Synthesis of Majorana mass terms in low-energy quantum systems
• Critical magnetic flux for Weyl points in the three-dimensional Hofstadter model