Topological matter articles from across Nature Portfolio

The interplay between magnetism, topology, and electrical polarization is a fascinating research direction in modern condensed matter physics. Here, the authors discover an intrinsic dipole Hall effect in various magnetic insulating states of twisted MoTe₂—enabling contact-free detection of topological phase transitions.

Here, it is shown how two-dimensional physics can emerge from its one-dimensional boundary. The 2D topological order comes from the concatenation of gauging maps of 1D global symmetries.

Topological superconductors are highly sought-after systems with potential applications in topological quantum computing. Here, the authors propose a scheme for realizing topological superconductivity based on the bulk energy bands and conventional superconductivity.

MnBi2Te4 is a topological antiferromagnet, and has a second-order nonlinear Hall effect when inversion symmetry is broken. Here, Li, Zhang and coauthors observe a third order longitudinal response and show how the observed non-linear response relates to the quantum geometry quadrupole of the material.

Angle-resolved photoemission spectroscopy measurements identify dark electron states in palladium diselenide, cuprate superconductors, and lead halide perovskites. These dark states are attributed to the two pairs of sublattices in each of the solids, which leads to a double two-level quantum system in which double destructive interference can occur.

Thanks to improved control of device fabrication and an expanding characterization toolbox, moiré materials stay in the spotlight as we discover more about the unique phenomena they realize.

In solids, the quantum metric captures the quantum coherence of the electron wavefunctions. Recent experiments demonstrate the detection and manipulation of the quantum metric in a noncollinear topological antiferromagnet at room temperature.

The quantum anomalous Hall effect holds promise for quantum resistance metrology, but has been limited to low operating currents. A measurement scheme that increases the effect’s operational current is now demonstrated — a scheme that could also be used more generally to improve the performance of existing primary quantum standards of resistance based on the conventional quantum Hall effect.

A paper in Physical Review Letters identifies topological features in the phonon spectrum of graphene.