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Experimental systems in which non-trivial topology is driven by spontaneous symmetry breaking are rare. Now, topological gaps resulting from two excitonic condensates have been demonstrated in a three-dimensional material.

The symmetry and mechanism underlying unconventional charge orders in Kagome materials are under debate. Here, the authors uncover a longitudinal and helicity-dependent photocurrent in KV₃Sb₅ that indicates broken symmetries and intrinsic chirality.

Transition metal dichalcogenides exhibit diverse and tunable electronic states. Here the authors reveal a cascade of phase transitions upon increasing hydrostatic pressure in the few-layer 1T’-WS₂, including a re-entrant superconducting phase emerging from a normal state exhibiting anomalous Hall effect.

The interplay between electronic topology and superconductivity is of great current interest in condensed matter physics. Here, the authors unveil an unconventional two-dimensional superconducting state accompanied by a van Hove singularity in the recently discovered Dirac nodal line semimetal ZrAs₂, which is exclusively confined to the top and bottom surfaces.

The pairing mechanism in kagome superconductors is still not fully understood. Now, CsV₃Sb₅, which belongs to this family, is shown to have orbital-selective pairing with two distinct superconducting domes that are not separated by any phase boundary.

Topological boundary modes within charge-ordered states have not yet been observed experimentally. Now an in-gap boundary mode, stemming solely from the charge order, is visualized in the topological material Ta₂Se₈I.

A hybrid topological phase of matter is discovered in the simple elemental-solid arsenic and explored using tunnelling microscopy, photoemission spectroscopy and a theoretical analysis.

Topologically protected hinge modes could be important for developing quantum devices, but electronic transport through those states has not been demonstrated. Now quantum transport has been shown in gapless topological hinge states.

An unconventional chiral charge order is observed in a kagome superconductor by scanning tunnelling microscopy. This charge order has unusual magnetic tunability and intertwines with electronic topology.

Direct imaging and tuning of flat band localization in kagome materials remains a challenge. Here, scanning tunneling microscopy and photoemission spectroscopy are used to study FeSn, revealing real-space localization and magnetic tuning of the flat band state within the Fe₃Sn kagome lattice layer.

We show that an insulating bulk state and helical edge state coexist in Bi₄Br₄ and that this coexistence persists up to room temperature.

Scanning tunnelling microscopy and scanning tunnelling spectroscopy have been used to observe intra-unit-cell nematic order and associated Fermi surface deformation in ScV₆Sn₆.

The interplay of magnetism, various symmetries and correlations can lead to intriguing physics in the solid state. Here, the authors report signatures of a Hund nodal line in the antiferromagnet YMn₂Ge₂.

Composite fermions can be tuned to very low effective density in a clean two-dimensional electron gas, which allows the formation of a Bloch ferromagnet.

The nature of the superconductivity in the kagome metals AV₃Sb₅ (A = K, Rb, Cs) remains under debate. Here, using muon spin spectroscopy, the authors find that the superconductivity in RbV₃Sb₅ and KV₃Sb₅ evolves from nodal to nodeless with increasing pressure and the superconducting state breaks time-reversal symmetry after suppression of the charge order.

This Review examines the development of cryogenic memory technologies—including non-superconducting memories, superconducting memories and hybrid memories—and their potential application in superconducting single-flux quantum circuits and quantum computers.