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Superlattices, with a length scale and structure that differs from the parent lattice of the host material, are well-known to allow for remarkable new electronic and magnetic properties. Here, Xie et al. synthesize Cr_1/4TaS₂, and find that it exhibits an unusual anomalous Hall effect below the Néel temperature even in stoichiometric high-quality crystals.

Using a system to adjust the strength of cavity vacuum fields penetrating a Hall bar, a study describes the effect of the vacuum field of a cavity on electronic correlations in quantum Hall systems.

The quasi-two-dimensional antiferromagnet Co_1/3NbS₂ was recently reported to have a significant anomalous Hall effect. However, its controversial spin configuration has presented challenges in understanding the physical mechanism behind the AHE. Here, through an array of experimental probes, Gu, Peng and coauthors verify an intrinsic k-space Berry curvature as origin of the spontaneous Hall effect, and elucidate the ___domain-related magnetic reversal behaviours.

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

Fractional quantum Hall states can be fragile, meaning that they are difficult to probe using electrical transport measurements. Now, thermal transport is shown to be a more sensitive technique for investigating these states.

Accessing strong correlation effects in Kagome materials remains challenging. Here, the authors realize a Kagome Kondo lattice in CsCr₆Sb₆ exhibiting flat, isolated Kagome bands at the Fermi level.

In ABA trilayer graphene, a temperature gradient generates a transverse voltage that scales quadratically with the gradient and reaches an effective Nernst coefficient of 300 µV K⁻¹ near the charge neutrality point.

The anomalous Hall angle parameter tanθ^A can be formulated as a function of the product of electrical resistivity and anomalous Hall conductivity, a scheme that allows the anomalous Hall angle in the magnetic Weyl semimetal Co₃Sn₂S₂ to be increased to 25°.

Intrinsic anomalous Hall effect has been observed in twisted graphene multilayers, but these structures are typically not energetically favorable. This study extends these observations to Bernal-stacked tetralayer graphene, which is the most stable configuration of four-layer graphene.

Monolayer graphene can support the quantum Hall effect up to room temperature. Here, the authors provide evidence that graphene encapsulated in hexagonal boron nitride realizes a novel transport regime where dissipation in the quantum Hall phase is mediated predominantly by electron-phonon scattering rather than disorder scattering.

The authors find that Ag-rich nanoprecipitates with sizes up to tens of nanometers can be formed in metallic Ag/Ag₂Se composite flexible films after spark plasma sintering. Moreover, Ag-rich nanoprecipitates play a positive role in increasing the carrier concentration, enhancing the density-of-states effective mass, and mitigating carrier scattering.

Infection of mosquito immune cells by dengue and Zika virus enhances the spread of virus infection to mosquito tissues, such as the salivary glands, to promote virus transmission and highlights conserved roles of immune cells in virus dissemination.

Berry curvature sits at the heart of both the anomalous hall effect and topological hall effect, with the former arising from a momentum space berry curvature, while the latter arises from a real space berry curvature. Here, Li et al present an intriguing example of a combined real and reciprocal space berry curvature in the kagome material Mn3Sn, resulting in a large field linear anomalous Hall effect.

This study explores fractional quantum Hall physics in large-angle twisted bilayer graphene, revealing a 1/3 fractional quantum Hall state driven by strong interlayer Coulomb interactions. Monte Carlo simulations confirm unique topological ground states and transitions with applied displacement fields.

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.

Monolayer graphene in the quantum Hall regime exhibits a third-order nonlinear Hall response, which is robust against variations in magnetic field and temperature and provides insights into the interaction of chiral edge states.

Magnetization reversal in magnetic topological insulators drives quantum phase transitions between quantum anomalous Hall, axion insulator, and normal insulator states. Using novel analysis protocol, the authors investigate critical behaviours of these transitions and establish their electronic origin.

An anomalous Hall spin current in a ferromagnetic conductor generates a giant spin–orbit torque with unique angular symmetry. This discovery enables a spin torque nano-oscillator with potential applications in neuromorphic signal processing.

Whilst different models describing the two-dimensional quantum spin Hall effect exist, very few experimental systems have been realized in which to test theory. Here, the authors present a discrete trigonal lattice model for the quantum spin Hall effect and predict its realization in Au/GaAs(111).

Here, the authors develop an antiferromagnet/topological insulator heterostructure, MnSe/(Bi,Sb)₂Te₃, to obtain laser-induced transient magnetic moment and optically controllable circularly polarized ultrafast terahertz pulse generation, under zero external 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.

Ohmic contacts to n-type molybdenum disulfide can be created over a temperature range from millikelvins to 300 K using a window-contacted technique, which leads to evidence for fractional quantum Hall states at filling fractions of 4/5 and 2/5 in the lowest Landau levels of bilayer molybdenum disulfide devices.

The origin of phonon thermal Hall Effect in a variety of insulators is elusive. Here, the authors find that black phosphorus hosts the largest thermal Hall conductivity ever reported and the Hall angle does not correlate with the phonon mean-free path.

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.

An unusual violation of the Wiedemann-Franz law with enhanced Lorenz number is revealed by thermal Hall measurements in NdAlSi. As its origin, the authors propose the presence of a hidden Kondo-type scattering process between itinerant electrons and localized moments in this magnetic Weyl semimetal.

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.

The fractional quantum Hall effect, occurring for rational Landau-level filling factors, is commonly observed in GaAs heterostructures. Now, unusual even-denominator fractional quantum Hall states are reported for an oxide 2D electron system.

Spin-Hall nano-oscillators are attractive for spintronics due to their high efficiency and simple layout. Here, the authors demonstrate synchronization of these oscillators to external microwave signals, opening up new possibilities for spintronic applications.

Previous work has shown that helical ___domain walls can form between states of different spin-polarization during a ferromagnetic spin transition in the fractional quantum Hall regime. Here, the authors study the transport through a single helical ___domain wall and find strong deviations from a simplified theory of weakly interacting edge channels.

Whilst superlattices containing thin films of 5d transition metal oxides are expected to yield strong interfacial coupling, only weak effects have been observed. Here, the authors report strong coupling between 3d SrMnO₃ and 5d SrIrO₃due to the interplay of strong Coulomb and spin orbit interactions.

The spin Hall-induced bilinear magnetoelectric resistance is a general phenomenon that arises in three-dimensional systems, particularly playing a crucial role in antiferromagnetic spintronics.

The authors demonstrate on-chip circularly polarized light detection using the chiral properties of transition metal dichalcogenide valleytronic transistors on centrosymmetric plasmonic metamaterials.

A study of the high-field Hall coefficient in thallium- and bismuth-based single-layer cuprates demonstrates a smooth evolution of this quantity from p to 1 + p over a wide doping range.

A superconductor–graphene junction is shown to exhibit the quantum Hall effect, with the chemical potential of the edge state displaying a sign reversal. Such a system could provide a platform for observing isolated non-Abelian anyonic zero modes.

While the spin generation in topological insulators is well studied, little is known about the interaction of the spins with external stimuli. Here, Seifert et al. observe a helical, bias-dependent photoconductance at the lateral edges of topological Bi₂Te₂Se platelets for perpendicular incidence of light, distinct to common longitudinal photoconductance phenomena.

There has been substantial progress in observing and understanding nonlinear transport properties of non-centrosymmetric materials in recent years. This Review surveys the interplay between symmetry and nonlinear phenomena, and how nonlinear transport probes quantum properties of solids. The authors also highlight the potential applications of these nonlinear transport effects in fields such as spintronics, orbitronics and energy harvesting.

The topological Hall effect is observed at above room temperature in a bilayer heterostructure composed of thulium iron garnet and platinum, suggesting the formation of skyrmions in a magnetic insulator through the interfacial Dzyaloshinskii–Moriya interaction.

Fe₃Sn₂ hosts very robust magnetic skyrmions, stabilized via frustration, rather than the typical Dzyaloshinskii-Moriya interaction. Here, Bernstein et al. using a spin torque skyrmion resonance, detect key features of this skyrmion phase in the observed resonances, and find that this can be tuned via an applied current.

Nonlinear damping enhancement imposes strict limitations on the operation and efficiency of magnetic nano-devices. Here the authors show that nonlinear damping can be controlled by the ellipticity of magnetization precession, which provides a route for the implementation of efficient active spintronic and magnonic devices driven by spin current.

Detection of quantum oscillations in thermal transport could shed light on the origin of thermal Hall effect in correlated materials but it is challenging. Here the authors report quantum oscillations in the thermal Hall effect in the kagome metal CsV₃Sb₅ indicating strong violation of the Wiedemann–Franz law.

Local shear stress from an atomic force microscope tip can control the crystal directions in thin oxide films. This approach enables the manipulation of local magnetic anisotropy in ferromagnetic metals.

The spin Hall effect induces spin currents in nonmagnetic layers, which can control the magnetization of neighbouring ferromagnets. The transparency of the interface is shown to strongly influence the efficiency of such manipulation.

The fractional quantum Hall effect offers a potential platform to harness non-Abelian anyons. Here, the authors report fractional quantum Hall states in trilayer graphene and drive quantum phase transitions between neighbouring states.

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

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.

The quantum spin Hall state is predicted to consist of two oppositely polarized spin currents travelling in opposite directions around the edges of a topological insulator. Non-local measurements of the transport in HgTe quantum wells confirm the polarized nature of these edge states.

The effect of disorder in conventional two-dimensional electron systems is usually described in terms of individual electrons interacting with an underlying disorder potential. Scanning single-electron transistor measurements of graphene in a strong magnetic field indicate that in this system, coulombic interactions between electrons must also be taken into account.