Weyl Rings and enhanced susceptibilities in Pyrochlore Iridates: $k\cdot p$ Analysis of Cluster Dynamical Mean-Field Theory Results

Abstract

We match analytic results to numerical calculations to provide a detailed picture of the metal-insulator and topological transitions found in density functional plus cluster dynamical mean-field calculations of pyrochlore iridates. We discuss the transition from Weyl metal to Weyl semimetal regimes, and then analyse in detail the properties of the Weyl semimetal phase and its evolution into the topologically trivial insulator. The energy scales in the Weyl semimetal phase are found to be very small, as are the anisotropy parameters. The electronic structure can to a good approximation be described as `Weyl rings' and one of the two branches that contributes to the Weyl bands is essentially flat, leading to enhanced susceptibilities. The optical longitudinal and Hall conductivities are determined; the frequency dependence includes pronounced features that reveal the basic energy scales of the Weyl semimetal phase.

arXiv comment12 pages, 7 figures

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• The study of magnetic topological semimetals by first principles calculations
• Optical Signatures of Dirac Nodal-lines in NbAs${}_2$
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• A magnetic Weyl semimetallic phase in thin films of Eu${}_2$Ir${}_2$O${}_7$
• Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation
• Unconventional free charge in the correlated semimetal Nd2Ir2O7
• Interacting spin-3/2 fermions in a Luttinger semimetal: Competing phases and their selection in the global phase diagram
• Stability of the Weyl-semimetal phase on the pyrochlore lattice
• Magnetic field tuning of the valley population in the Weyl phase of Nd${}_2$Ir${}_2$O${}_7$
• Selective probing of magnetic order on Tb and Ir sites in stuffed Tb${}_{2+x}$Ir${}_{2-x}$O${}_{7-y}$ using resonant X-ray scattering
• Weak antilocalization and localization in Eu${}_2$Ir${}_2$O${}_7$ (111) thin films by reactive solid phase epitaxy
• Renormalized density matrix downfolding: A rigorous framework in learning emergent models from ab initio many-body calculations
• Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism