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Interferometers can probe the wave-nature and exchange statistics of indistinguishable particles. Quantum Hall interferometers from graphite-encapsulated graphene heterostructures now enable the observation of the Aharonov–Bohm effect and of robust fractional quantum Hall states.

The nature of the fractional quantum Hall state when the lowest Landau level is half-filled remains controversial. Now, the observation of a topological phase transition at related filling fractions suggests that the half-filled state is non-Abelian.

Previous work has proposed that the anomalous and topological Hall effects, associated with Weyl nodes, should have a signature in optical conductivity. Here, using THz optical spectroscopy, the authors assign these two effects to optical conductivity resonances, arising near band anti-crossings, in thin films of MnGe.

Electrical transport measurements reveal that Co₃Sn₂S₂ is probably a magnetic Weyl semimetal, and hosts the highest simultaneous anomalous Hall conductivity and anomalous Hall angle. This is driven by the strong Berry curvature near the Weyl points.

Quantum Hall states are observed in monolayer graphene at even-denominator fractional filling of the lowest Landau level. This is linked to transitions in the spin and valley structure of the ground state.

There is a long-standing experimental effort to observe field-induced correlated states in three-dimensional materials. Here, the authors observe an unconventional Hall response in the quantum limit of the bulk semimetal HfTe₅ with a plateau-like feature in the Hall conductivity.

The anomalous Hall effect (AHE) due to electron scattering process is typically limited to a small magnitude. Here, the authors report giant AHE of electron scattering origin in a chiral magnet MnGe thin film, possibly due to skew-scattering via thermally excited spin-clusters with scalar spin chirality.

Valley dependent spin polarization called spin-valley locking appears in absence of magnetism but it is limited to rare examples of transition metal dichalcogenides. Here, the authors report evidence of spin-valley locking and stacked quantum Hall effect in a bulk Dirac semimetal BaMnSb₂.

A carrier-resolved photo-Hall technique is developed to extract properties of both majority and minority carriers simultaneously and determine the critical parameters of semiconductor materials under light illumination.

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.

Despite many achievements in the topological semimetal Cd₃As₂, the high-quality Cd₃As₂ films are still rare. Here, Uchida et al. grow high-crystallinity and high-mobility Cd₃As₂ thin films and observe quantum Hall states dependent on the confinement thickness.

Theories predict a large thermopower and a quantized thermoelectric Hall conductivity in topological semimetals. Here, the authors observe an ultrahigh longitudinal thermopower and a giant power factor attributed to the quantized thermoelectric Hall effect in a Weyl semimetal TaP.

A metallic p-wave magnet with commensurate spin helix and anisotropic electronic properties is experimentally realized and shows a giant anomalous Hall effect when distorted by a tiny spontaneous magnetization.

The development of high-performance magnetic field sensors is important for magnetic sensing and imaging. Here, the authors fabricate Hall sensors from graphene encapsulated in hBN and few-layer graphite, demonstrating high performance over a wide range of temperature and background magnetic field.

The extra states sometimes observed in graphene’s quantum Hall characteristics have been presumed to be the result of broken SU(4) symmetry. Magnetotransport measurements of high-quality graphene in a tilted magnetic field finally prove this is indeed the case.

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.

Giant coupling between magnetism and phonons — or the giant thermal Hall effect — is reported in the insulating polar magnet (Zn_xFe_1−x)₂Mo₃O₈.

In the magneto-optical Kerr effect, light incident on a magnetic material is reflected with a shifted polarization, the size of the shift characterized by the Kerr angle. Here, Kato et al introduce a topological magneto-optical Kerr effect, where the presence of skyrmions, a type of topological spin texture, leads to a significant enhancement of the Kerr signal.

Magnetic skyrmions propagating under an applied current along a nanowire experience the magnus force, deflecting them towards the edges where they may be destroyed, potentially hindering their applications. Here, the authors propose a method to surpass this issue utilizing magnetic bilayers systems.

Propagating spin waves known as magnons are expected to carry a dipole moment in the quantum Hall regime. Now, this moment has been detected, demonstrating that the degrees of freedom of spin and charge are entangled in quantum Hall magnons.

Electrons hopping in two-dimensional honeycomb lattices possess a valley degree of freedom. Here, the authors observe room-temperature valley Hall transport without any extrinsic symmetry breaking in the non-centrosymmetric monolayer and trilayer MoS₂ by purely electronic means, whereas no valley signal is detected for centrosymmetric bilayer MoS₂.

The evolution of the quantum Hall state from bulk spectrum to edge state remains obscure. Here, Patlatiuk and Scheller et al. observe magnetic compression against a hard edge followed by motion into the bulk and depopulation of the integer quantum Hall edge states, in agreement with the bulk-to-edge correspondence.

High-frequency elastic waves can propagate across local disorder and around sharp corners in nanoelectromechanical aluminium nitride membranes; this behaviour can be directly imaged using microwave microscopy.

Optical spin orientation of itinerant ferromagnets in twisted MoTe₂ homobilayers is demonstrated, enabling control of topological Chern numbers with circularly polarized light.

Chiral spin liquids are a hypothetical class of spin liquids in which time-reversal symmetry is macroscopically broken even in the absence of an applied magnetic field or any magnetic dipole long-range order. Although such spin-liquid states were proposed more than two decades ago, they remain elusive. Here, evidence is presented that the time-reversal symmetry can be broken spontaneously on a macroscopic scale in the absence of magnetic dipole long-range order, suggesting the emergence of a chiral spin liquid.

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.

In the superconducting phase of niobium nitride the spin Hall effect is mediated by quasiparticles. Decreasing the spin injection current causes the inverse spin Hall signal to become 2,000 times larger in this phase than in the normal state.

Plasmodium vivax reticulocyte binding protein 2b (PvRBP2b) is important for invasion of reticulocytes and PvRBP2b antibodies correlate with protection. Here, Chan et al. isolate and characterize anti-PvRBP2b human monoclonal antibodies and describe mechanisms by which these antibodies inhibit invasion.

The APOE-ε4 allele is the strongest genetic risk factor for late-onset Alzheimer’s disease, but it is not deterministic. Here, the authors show that common genetic variation changes how APOE-ε4 influences cognition.

The anomalous Hall effect is usually associated with ferromagnets but a large anomalous Hall response can be found in topologically non-trivial half-Heusler antiferromagnets thanks to Berry phase effects associated with symmetry breaking.

Scanning tunnelling microscopy and spectroscopy study of the conductive edge state in a two-dimensional topological insulator reveals the interplay of topology and electronic correlations.

Picosecond pulses of terahertz radiation induce non-equilibrium electron dynamics in a GaAs quantum Hall system, suppressing the longitudinal resistivity, and giving rise to a quantized transverse component.

The spin Hall effect plays a central role in generating and manipulating spin currents, but its magnitude is ultimately fixed by spin–orbit coupling effects. It is now shown that the spin-Hall-effect angle can be tuned electrically in GaAs.

The interplay between superconductivity and competing orders in multi-layered cuprates can shed light on the nature of the superconducting pairing. Here, the authors report on the coexistence of antiferromagnetic and charge orders in different CuO2 planes in a tri-layer cuprate, pointing to a magnetically-mediated mechanism.

Guided by density functional theory, a commercially viable refractory alloy is developed, which exhibits excellent room-temperature ductility and strength, and high strength at elevated temperatures.

Transferring graphene onto hexagonal boron nitride enables high-mobility multiterminal quantum Hall devices to be built. This makes it possible to study graphene's unique fractional quantum Hall behaviour more easily and more directly than previously.

Magneto-oscillations have revealed many interesting phenomena in graphene and quantum Hall systems, but they are typically measured at low currents and in equilibrium. Here, the authors report several non-equilibrium quantum effects observed in magneto-oscillations in graphene at high currents.

The nonlinear Hall effect describes a recently discovered phenomenon in which a time-reversal symmetric material with a Berry curvature dipole develops a transverse voltage at double the frequency of an applied current. Here, the authors theoretically explore twisted bilayer WSe2 under strain, and find that it can exhibit a large nonlinear Hall effect that is highly sensitive to the topological properties of the material.

This study provides a comprehensive profile of human fetal midbrain development and its comparison with lab-grown midbrain cultures. These findings demonstrate that midbrain organoids recapitulate fetal developmental stages while capturing essential spatial and molecular characteristics, relevant to dopamine-related disorders.

By combining satellite observations with ground-based data and expert validation, this analysis demonstrates considerable misestimation of grassland extent and thereby carbon stock estimates in previous global assessments based on remote sensing.

A single-cell epigenomic atlas of human immune cells highlights cell-type-specific features associated with genetic or environmental exposures.

Moiré superlattices arising in bilayer graphene coupled to hexagonal boron nitride provide a periodic potential modulation on a length scale ideally suited to studying the fractal features of the Hofstadter energy spectrum in large magnetic fields.