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The authors report an experimental study of the Hall effect measuring electrical quantities in ultracold fermionic quantum simulators. This provides a way forward in measuring transport properties in these platforms and verifying long-standing theoretical predictions.

Transition of superfluid to insulator is observed in the layer-imbalanced regime of bilayer magnetoexcitons.

Artificial magnetic fields enable topological transport in metamaterials. Here, authors realize a programmable optomechanical metamaterial where laser-induced synthetic magnetism gives rise to chiral phonon edge states characteristic of quantum-Hall-like behavior.

The anomalous Hall effect is a macroscopic manifestation of a quantum mechanical effect. Here, Uelandet al. report the observation of a high Hall conductivity in the heavy-fermion compound UCu5, a metallic system, and explain its origin in terms of geometric frustration effects.

Examples of materials with non-trivial band topology in the presence of strong electron correlations are rare. Now it is shown that quantum fluctuations near a quantum phase transition can promote topological phases in a heavy-fermion compound.

The properties of electronic transport through edge states of three-dimensional quantum Hall-like states are not yet resolved. Now, increasing the surface area of the edges is shown to produce increased conductance, suggesting that chiral surface states are present.

It is predicted that fractionally charged skyrmions, topologically protected vortex-like spin configurations, may exist in systems exhibiting fractional quantum Hall states. Here, the authors demonstrate the existence of such objects in GaAs single quantum wells.

Non-Hermitian systems can be described in terms of gain and loss with a coupled environment—a hard feature to tune in quantum devices. Now an experiment shows non-Hermitian topology in a quantum Hall ring without relying on gain and loss.

Spin–orbit torques could enable a new generation of low-power electrically controlled memory devices. Here, the authors experimentally disentangle the spin-Hall effect and inverse spin-galvanic effect contributions to the relativistic spin torques in a room temperature Fe/(Ga,Mn)As bilayer.

The realization of the anomalous Hall effect in high-mobility two dimensional electron systems has so far remained elusive. Here, the authors observe its emergence in MgZnO/ZnO heterostructures and attribute it to skew scattering of electrons by localized paramagnetic centres.

Non-local transport measurements on mercury telluride quantum wells show clear signatures of the ballistic spin Hall effect. The ballistic nature of the experiment allows the observed effect to be interpreted as a direct consequence of the band structure of these semiconductor nanostructures, rather that being caused by impurity scattering.

There has been a recent surge in interest in using the orbital Hall effect to improve switching performance and expand the material options for spin-orbit torque driven magnetic memory. Here, Gupta et al demonstrate a significant improvement switching efficiency through integration of Ru in place of the more standard heavy metal, Pt.

A technique that allows the electrical detection of spin-polarized transport in semiconductors without disturbing the spin-polarized current or using magnetic elements has now been demonstrated. The approach could lead to the integration of spintronics elements into semiconductor microelectronic circuits.

Quantum anomalous Hall crystals (QAHCs) combine the zero-field quantum Hall effect with spontaneously broken discrete translation symmetry. Here, the authors use exact diagonalization to demonstrate the existence of stable QAHCs arising from 2/3-filled moiré bands with Chern number C = 2.

Andreev reflection is normally known to occur at a metal-superconductor interface. Here, Hashisaka et al. observe an Andreev-like process in a narrow junction between fractional and integer quantum Hall states originating from a topological quantum many-body effect instead of superconductivity.

The topological Hall effect usually results from a static scalar spin chirality. Here, through a combination of neutron scattering and transport measurements, Baral et al. demonstrate the emergence of a room temperature topological Hall effect due to dynamic scalar spin chirality in a topologically non-trivial phase in Fe3Ga4

The PCRCR complex of Plasmodium spp. binds basigin on the erythrocyte surface. While Rh5 of the complex is restricted to P. falciparum, PTRAMP, CSS and Ripr orthologs are present across the genus, for which the authors report common features.

Metamaterials enable the control and manipulation of light on subwavelength scales, allowing numerous optical device applications. Here, the authors show the selective excitation of spatially confined modes in an anisotropic hyperbolic metamaterial, based on the photonic spin Hall effect.

Kwak et al. report AC magnetic parallel dipole line Hall measurements on electrochemical random-access memory based on WO_3-x, which determine the oxygen donor level and reveal that conductance potentiation even at low temperature is caused by an increase in both mobility and carrier density.

The anomalous Hall effect has been observed in high-quality epitaxial thin films of non-collinear antiferromagnet Mn₃Pt, and can be switched on and off using an electric field.

Electron-electron interactions in many-body systems may manifest themselves through the fractional quantum Hall effect. Here, the authors perform transport measurements in bilayer graphene, and observe particle-hole symmetric fractional quantum Hall states in theN=2 Landau level.

Graphene was one of the first materials proposed to host the quantum spin Hall effect. However, its weak intrinsic spin-orbit interaction means that observing such an effect requires modifying the graphene band structure. Here, Ghiasi et al. combine graphene with CrPS₄ and detect quantum spin Hall states at zero magnetic field.

Excitonic pairing in fractional quantum Hall states shows two new quantum phases, including a fractional exciton condensate and an unusual type of exciton that obeys fermionic or anyonic quantum statistics.

Imaging studies show that topological protection in the quantum Hall state in graphene is undermined by edge reconstruction with a dissipation mechanism that comprises two distinct and spatially separated processes—work generation and entropy generation.

The authors report a Hall effect that originates from a fictitious magnetic field associated with antiferromagnetic order that breaks time-reversal symmetry, followed by translation symmetry.

Magnetoresistance in ferromagnetic materials and heterostructures have been enabling advanced understanding of electron transport in solids, as well as new concepts for applications. Here the authors demonstrate a different type of magnetoresistance arising from anomalous Hall effect associated spin–charge mutual conversion.

Large-effect variants in autism remain elusive. Here, the authors use long-read sequencing to assemble phased genomes for 189 individuals, identifying pathogenic variants in TBL1XR1, MECP2, and SYNGAP1, plus nine candidate structural variants missed by short-read methods.

Pseudaminic acids (Pse) are a family of carbohydrates found within bacterial lipopolysaccharides, capsular polysaccharides and glycoproteins. Now, monoclonal antibodies have been developed that recognize diverse Pse across several bacterial species, enabling mapping of the Pse glycoproteome and demonstrating therapeutic potential against multidrug-resistant Acinetobacter baumanii in in vitro and in vivo infection models.

We show that domain walls in minimally twisted bilayer graphene support exceptionally robust proximity superconductivity in the quantum Hall regime.

Conductance quantization is the hallmark of non-interacting confined systems. The authors show that the quantization in graphene nanoconstrictions with low edge disorder is suppressed in the quantum Hall regime. This is explained by the addition of new conductance channels due to electrostatic screening.

This Review describes the concepts behind generalized quantum Hall effects that can take place without a magnetic field, and summarizes recent experimental manifestations of these phenomena in twisted two-dimensional materials and few-layer graphene.

Graphene on boron nitride gives rise to a moiré superlattice displaying the Hofstadter butterfly: a fractal dependence of energy bands on external magnetic fields. Now, by means of capacitance spectroscopy, further aspects of this system are revealed—most notably, suppression of quantum Hall antiferromagnetism at particular commensurate magnetic fluxes.

Ion diffusion region is an indicator of active magnetic reconnection, but it had not been detected in Jupiter’s magnetosphere previously. Here, the authors show a magnetic reconnection event in Jupiter’s inner magnetosphere that presents the detection of an ion diffusion region.

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.

Skyrmion crystals, where skyrmions are arranged close packed in a triangular lattice arise due to the superposition of three magnetic spin spirals, each with a distinct wave vector, Q. Such skrymion crystals have been found in a diverse array of materials. Here, Park et al find a short wavelength (or dense skyrmion) limit of this skyrmion crystal structure in Co1/3TaS2, a metallic triangular lattice antiferromagnet, in the form of a triple Q magnetic ordering, with four magnetic sublattices.’

Orbital angular momentum transfer from optical vortex beams to electronic quantum Hall states is reported in a graphene sheet, showing a robust contribution to the radial photocurrent that depends on the vorticity of light.

Non-zero topological charge prevents the straight motion of ferromagnetic skyrmions and hinders their applications. Here, the authors report the stabilization and current-driven dynamics of skyrmions in GdFeCo films in which the ferrimagnetic skyrmions can move with high velocity and reduced skyrmion Hall angle.

The relationship between the integer and fractional quantum Hall states are of fundamental importance in condensed matter physics. Here, the authors report a universality of phase transitions in both regimes in ultraclean trilayer graphene samples.

Opto-twistronic Hall effect driven by structural chirality and coherence length is observed in a three-dimensional self-assembled twisted spiral superlattice of WS₂.

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.

Magnetic skyrmions are promising objects for future spintronic devices. However, a better understanding of their dynamics is required. Here, the authors show that in contrast to predictions the skyrmion Hall angle is independent of their diameter and motion is dominated by disorder and skyrmion-skyrmion interactions in the system.

A new pulsed ferromagnetic resonance method allows efficient spin injection and detection at room temperature through the inverse spin Hall effect, even in organic semiconductors with weak spin–orbit coupling such as C₆₀.