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Superconducting quantum circuits are used to directly observe and characterize topological phase transitions; this approach promises to be a powerful and general platform for characterizing topological phenomena in quantum systems.

Three-dimensional topological insulators have become a research focal point on topological quantum matter. Here, the authors propose the non-Hermitian analogue, the exceptional topological insulator, with anomalous surface states only existing within the topological bulk embedding.

Direct visualization of chiral effects in topological chiral semimetals remains elusive. Here, Sessi et al. demonstrate that quasiparticle scattering at impurities in the two enantiomers of PdGa gives rise to handedness dependent quantum interference patterns.

Scanning tunnelling microscopy is used to reveal a new topological kagome magnet with an intrinsic Chern quantum phase, which shows a distinct Landau fan structure with a large Chern gap.

Weyl fermions are evidenced in weakly correlated electron systems, but whether they survive strong electron correlations remains obscure. Here, Guo et al. report evidence of the chiral anomaly, topological Hall effect and a cubic temperature dependence of specific heat, suggesting existence of Weyl fermions in a heavy fermion semimetal YbPtBi.

Experimental systems in which non-trivial topology is driven by spontaneous symmetry breaking are rare. Now, topological gaps resulting from two excitonic condensates have been demonstrated in a three-dimensional material.

A significant enhancement in the effective mass of Dirac-like quasiparticles residing near a nodal loop in the electronic band structure provides evidence for strong correlation effects in a topological semimetal.

Manipulation of topology of the electronic structure is highly desirable for practical applications of topological materials. Here the authors demonstrate tuning and annihilation of Weyl nodes in momentum space by means of the Zeeman effect in a strongly correlated topological semimetal Ce₃Bi₄Pd₃.

Switching of magnetic behaviour is one of the main ideas that drives spintronics. Now, magnetic switching via spin-orbit torque is shown in a moiré bilayer, introducing a platform for spintronic applications.

Even-order nonlinear transport is a powerful probe of quantum materials, but such studies in superconductors have been limited to those which break time-reversal symmetry. Here, the authors observe second-order nonlinear transport in time-reversal-symmetric PbTaSe₂, where the nonlinearity is enhanced in the superconducting state.

Probing topological orders in many-body systems remains a major challenge, which requires bulk-edge correspondence. Here, Grusdt et al.present an approach to show that fractional charges can be directly probed in the bulk of fractional quantum Hall systems using mobile impurities through interferometric measurements.

Bloch wavefunctions of two types of hole in gallium arsenide are reconstructed by measuring the polarization of light emitted by collisions of electrons and holes accelerated by a terahertz laser.

A combination of mouse model data and data from a randomized phase 2 trial in patients with breast cancer in remission demonstrates feasibility, safety and a reduction in residual tumor cells following treatment with hydroxychloroquine and/or everolimus.

The unique valley and spin texture of atomically thin transition metal dichalcogenides (TMDs) allows the observation of the valley Zeeman effect for neutral and charged excitons. Here, the authors unveil the underlying physics of the magneto-optical response and valley Zeeman splitting of trions in tungsten-based TMDs.

The authors show that a magnetic material with kagome lattice planes hosts a flat band near the Fermi level. Electrons in this band exhibit ‘negative magnetism’ due to the Berry curvature.

Studies of quantum oscillations provide a valuable probe into the electronic structure of topological semimetals. Matusiaket al. demonstrate that quantum features in ZrSiS can be probed with greater sensitivity using diffusive thermopower than magnetization and electrical resistivity approaches.

Machine learning has been applied to problems in condensed matter physics, but its performance in an experimental setting needs testing. Zhang et al. study the effects of adversarial perturbations on a neural-network-based topological phase classifier, applied to experimental data from an NV center in diamond.

Wyatt et al. explore glycaemic responses after a standardized meal and find that postprandial glycaemic dip is a predictor of hunger and subsequent energy intake.

Condensed matter research has seen prominent recent advances in ultrafast optical manipulation and topological materials. Here, Sentef et al. simulate the development of the photoemission-measured band structure of Floquet states in graphene excited by low-frequency circularly-polarized laser pulses.

Bilayer graphene is known to host states where interactions dominate the electronic behaviour. Now, transport measurements show that this is also true for trilayer graphene and give evidence for ferroelectric states and states with high Chern number.

Effective axion fields emerge in a variety of condensed matter and photonic structures. Here, the authors predict a distinct dual axion response arising in metamaterials and, potentially, some condensed matter systems and captured by electrodynamics with magnetic charge.

Weyl fermions have yet to be observed as elementary particles but can be realized in topological quantum materials. This Review discusses the theoretical and experimental discovery of emergent Weyl fermions, high-fold chiral fermions, topological Weyl lines and related Dirac phases.

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 existence of a topological bulk-boundary correspondence for Dirac semimetals has remained an open question. Here, Wieder et al. predict one-dimensional hinge states originating from bulk three-dimensional Dirac points in solid-state Dirac semimetals, revealing condensed matter Dirac fermions to be higher-order topological.

Using well-calibrated statistical methods the authors jointly analyze Undiagnosed Diseases Network genomes, identifying known and novel disease genes. Software is publicly available to support future cross-cohort rare disease discovery efforts.

Chiral superconductors are very rare topological materials. Here, the authors report spontaneous magnetic fields inside the superconducting state and low temperature linear behavior in the superfluid density in LaPt₃P, suggesting a chiral d-wave singlet superconducting state.

Recent key developments in the exploration of kagome materials are reviewed, including fundamental concepts of a kagome lattice, realizations of Chern and Weyl topological magnetism, flat-band many-body correlations, and unconventional charge-density waves and superconductivity.

Skyrmions are localized magnetic textures that form lattices in some magnetic materials. Neutron spin-echo measurements have now been able to observe topological effects on the low-energy collective excitations of a skrymion lattice.

Edge current quantization in the integer quantum Hall effect is understood to arise due to noninteracting electrons circulating an incompressible insulating bulk. Here, the authors evidence compressible metal-like bulk behaviour in GaAs/AlGaAs Hall bars consistent with electronic interactions.

Many montane birds seasonally migrate between elevations. This study shows two bird species exhibit phenotypic plasticity in response to this altitude shift: the small-scale elevational migrant shows greater temperature-driven plasticity, while the large-scale migrant displays stronger hypoxia-driven plasticity.

Two intriguing manifestations of Hall physics are reported in a topologically insulating heterostructure: a sign-reversal of the anomalous Hall effect and the emergence of a topological Hall effect.

Mobile impurities can be useful probes of quantum states. Here, the authors theoretically identify polarons formed on the edge of topological insulating states, termed chiral polarons, that can be used to probe topological matter.

MoTe₂ is reported to host type II topological Weyl semimetal states. Two sets of Weyl points exist at different energies above the Fermi energy. Fermi arcs that form closed loops and are unique to type II Weyl semimetals are also found.