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Here, longitudinal and transverse conductivity is studied in cadmium single crystals, finding that the amplitude of the first ten Sondheimer oscillations is determined by the quantum of conductance and a length scale that depends on the sample thickness, the magnetic length and the Fermi surface geometry.

Understanding superconductivity in low carrier density metals near polar quantum critical point, such as SrTiO3, has been challenging. Here, using inelastic neutron scattering, the authors reveal a correlation between the superconducting dome and the spatial length scale of polarization fluctuations.

³He behaves like a Fermi liquid but only at very low temperatures. Here the authors re-examine thermal transport data, arguing that the breakdown of the Fermi liquid occurs when the scattering time falls below the Planckian time and suggesting that heat is partially carried by a collective hydrodynamic sound mode.

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.

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.

Electrons in metals at extremely high magnetic fields show interesting quantum structures. The authors measure the angle-dependent Nernst effect with high precision and show that, for bismuth, Coulomb interactions between the electrons become important in this ultraquantum regime.

Materials in large magnetic fields can be driven into the quantum limit, where electrons occupy only the lowest Landau level and the response is determined by interactions. Here the authors go beyond this limit by emptying one or two of bismuth’s electronic valleys, depending on the field direction.

Macroscale patterns seen in biological systems such as animal coats or skin can be described by Turing’s reaction–diffusion theory. Now Turing patterns are shown to also exist in bismuth monolayers, an exemplary nanoscale atomic system.

Electrons can be confined to individual momentum valleys in the electronic structure of molybdenum disulphide by shining circularly polarized light onto single layers of this two-dimensional material.

The structure of domain walls is of interest to the antiferromagnetic spintronics. Here the authors find an additional contribution to the Hall conductivity tensor and a transverse magnetization generated by domain walls in Mn3Sn and report that the sign of this contribution depends on the prior history of the sample.

Multiple valleys in the electronic structure of certain crystal lattices could enable the development of so-called valleytronic devices. But to do so, the degeneracy of these valleys must be lifted. Measurements of the anisotropic magnetoelectric response of bismuth suggest that its three-fold valley degeneracy breaks spontaneously at low temperatures and high fields.

Not in all superconductors do Cooper pairs respect the lattice symmetry of the crystal in which they move. Now, work finds such 'picky' Cooper pairs in the presence of strong electron–spin interaction — and gives rise to an entire host of new questions.

The Nernst effect—the generation of a transverse electric field in a system subject to a longitudinal temperature gradient and perpendicular magnetic field—is increasingly used as a probe of a material’s electronic structure. The discovery of an unexpected Nernst response in graphite establishes the role of dimensionality on this effect, and enables the individual contributions of bulk and surface to be distinguished.

Magnetostriction refers to the contraction or expansion of the crystal lattice of a magnetic material when a magnetic field is applied. Here, Meng et al show that Mn₃Sn, a noncollinear antiferromagnet, hosts a large linear magnetostriction, which is driven by the field induced in-plane rotation of spins.

The topology of the surface states of a bismuth crystal remains an ongoing debate. Here, the authors observe surface electric conductivity with a magnetic field parallel to the two-dimensional boundary between the three-dimensional bismuth crystal and vacuum, but this effect is absent in antimony crystals indicating a link between band symmetry and boundary conductance.

Good conductors of heat are usually good at conducting electricity. So the discovery that electrons in a superconductor can carry an unauthorized amount of heat at low temperatures raises many questions.

Slight changes in SrTiO’s nominal composition make it superconducting or ferroelectric. A compositional window for which the two phases exist is now reported; varying the fraction of Ca replacing Sr changes the superconducting critical temperature.

A large magnetic field induces a metal-insulator transition in graphite, which manifests as a dome in the phase diagram. Ye et al. show that this dome is an example of an electron-hole pair BCS-BEC crossover, tuneable by hydrostatic pressure with a locked summit temperature.

Macroscopic properties usually follow algebraic scaling laws near phase transitions. Here, the authors investigate the scaling properties of the metal‐insulator transition at the LaAlO3/SrTiO3 interface, finding that coupling between structural and electronic properties prevents the universal behavior.

Viscous fermionic flow appears in liquid helium but rarely appears in metallic solid. Here, Jaoui et al. report a T-square thermal resistivity due to momentum conserving electronic scattering in semi-metallic antimony, which is in agreement with the hydrodynamic scenario.

The electrical resistivity of Fermi liquids usually shows square power law with respect to temperature (T²) due to either inter-bandscattering or Umklapp process. Here, authors report T² resitivity below a temperature where neither Umkapp nor interband scattering is responsible in a dilute metal Bi₂O₂Se.

The first-order phase boundary between the liquid and gaseous phases ends at a critical point where the fluid, kept at thermodynamic equilibrium, displays a turbidity known as ‘critical opalescence’. The authors quench a fluid across its critical point, find blackness instead of turbidity, and argue that, out of equilibrium, photons can be absorbed, not merely scattered.