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The interplay between multiple electronic interactions in solid promotes the emergence of exotic phases. Here, Uedaet al. report magnetotransport study on pyrochlore iridates R₂Ir₂O₇near quantum metal-insulator transition reflecting the emergence of multiple Weyl semimetal states.

In a topological material, Weyl fermions—with relativistic and Newtonian characteristics—at a quantum critical point couple to the Coulomb interaction, leading to an anisotropic screening such that the fermions are effectively non-interacting.

The electronic states in the bulk and surface of topological insulators can be influenced by adjacent materials. The prediction by Yang et al.of topological insulators protected from hybridization suggests greater flexibility in integrating them with conventional compounds.

Three-dimensional Dirac semimetals are a recently discovered state of condensed matter considered as the 3D analogue of graphene. Here, Yang et al. propose a general framework to classify stable 3D Dirac semimetals in systems with time-reversal, inversion and uniaxial rotational symmetries.

Experiments that directly probe the quantum geometric tensor in solids have not been reported. Now, the quantum metric and spin Berry curvature—dual components of the quantum geometric tensor—have been simultaneously measured in reciprocal space.

The determination of the order parameter symmetry is a critical issue in the study of unconventional superconductors. Ultrasound measurements on UTe₂, a candidate spin-triplet superconductor, now provide evidence for the single-component nature of its order parameter.

Wavelength-scale, low-threshold, vortex and anti-vortex nanolasers with topological charges in an optical cavity that is formed by a topological disclination are demonstrated, paving a way towards the development of ultra-small light sources with quantized vector vortex states attractive for optical communication systems.

The lack of net magnetization in antiferromagnets makes them technologically promising, but it also makes detecting the spin orders challenging. Here, using electrical transport measurement, Song et al show how the planar Hall effect can detect different cluster magnetic multipoles in antiferromagnetic Nd₂Ir₂O₇ film.

The topological nature of the electronic structure of two-dimensional ferromagnetic SrRuO₃ and its relationship to the anomalous Hall effect is explored through transport measurements, angle-resolved photoemission spectroscopy and theoretical modelling.

Landau levels are normally bounded by upper and lower band edges at zero magnetic field. Here, the authors predict a system with isolated flat bands, where anomalous Landau level spreading appears outside the zero-field energy bounds.

A study reports a colossal angular magnetoresistance in the topological magnet Mn₃Si₂Te₆, resulting from a metal-to-insulator transition caused by controlled lifting of a topological band degeneracy, and discusses the key parameters involved.

The topological characteristics of acoustic phonons with triple degeneracy remain largely unexplored. Here, the authors propose a topological acoustic triple point characterized by a topological charge in a three-band system with PT symmetry.

The semiclassical quantization rule breaks down for a class of dispersionless flat bands, and their anomalous Landau level spectrum is characterized by their Hilbert–Schmidt quantum distance.

A magnetic field can lift the spin degeneracy of electrons. This Zeeman effect is an important route to generating the spin polarization required for spintronics. It is now shown that such polarization can also be achieved without the need for magnetism. The unique crystal symmetry of tungsten selenide creates a Zeeman-like effect when a monolayer of the material is exposed to an external electric field.

A combined experimental and theoretical approach identifies the van der Waals material Fe₃GeTe₂ as a candidate ferromagnetic nodal line semimetal. These results extend the connections between topology and magnetism.

UTe2 is a promising candidate for spin-triplet unconventional topological superconductivity. The authors theoretically show that electron correlation induces a dramatic change in the normal state fermiology of this material with an emergent correlated Fermi surface driven by Kondo resonance at low temperatures, which can account for various unconventional superconducting properties in a unified way.