Quantum Hall articles from across Nature Portfolio

In the 1980s, the discovery of electron states that fractionalize in the presence of a time-reversal symmetry breaking magnetic field opened up new directions in condensed matter physics. In 2023, evidence has accumulated that a version of these states in which the time-reversal symmetry breaking is spontaneous appears in moiré materials.

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

Measuring quantum entanglement remains a demanding task. The authors introduce two functions to quantify entanglement induced by fermionic or bosonic statistics, in transport experiments. Both functions, in theory and experiment, are remarkably resilient against the nonuniversal effects of interactions.

The authors report diode-like resistance in a non-magnetic topological insulator in the quantum Hall regime.

Bernal-stacked bilayer graphene (BLG) has been extensively studied due to its tunable band gap and emerging electronic properties, but its low-energy band structure remains debated. Here, the authors report magnetotransport measurements of Bernal BLG, showing evidence of four Dirac cones and electrically induced topological transitions.

A magnetic-field-induced Wigner crystal in Bernal-stacked bilayer graphene was directly imaged using high-resolution scanning tunnelling microscopy and its structural properties as a function of electron density, magnetic field and temperature were examined.

In the 1980s, the discovery of electron states that fractionalize in the presence of a time-reversal symmetry breaking magnetic field opened up new directions in condensed matter physics. In 2023, evidence has accumulated that a version of these states in which the time-reversal symmetry breaking is spontaneous appears in moiré materials.

Non-perturbing spectroscopy allows the observation of fragile fractional quantum Hall states and broken symmetries in graphene with atomic precision.

Magnons are collective spin excitations that can propagate over long distances — an attractive trait for information-transfer technologies — but we need to better understand their thermodynamic properties. A platform using graphene may hold the key.

An article in Nature reports the observation of the quantum anomalous Hall effect in freestanding bilayer graphene.