The past decades have witnessed an explosion of interest in topological materials, and a lot
of mathematical concepts have been introduced in condensed matter physics. Among them …

Twisted van der Waals heterostructures have latterly received prominent attention for their
many remarkable experimental properties and the promise that they hold for realizing …

Spin–orbit coupling induces a unique form of Zeeman interaction in momentum space in
materials that lack inversion symmetry: the electron's spin is locked on an effective magnetic …

We present measurements and simulations of semiconductor-superconductor
heterostructure devices that are consistent with the observation of topological …

Among the major avenues that are being pursued for realizing quantum bits, the Majorana-
based approach has been the most recent to be launched. It attempts to realize qubits that …

Inhomogeneous superconductors can host electronic excitations, known as Andreev bound
states (ABSs), below the superconducting energy gap. With the advent of topological …

Quantum superpositions of macroscopically distinct classical states—so-called Schrödinger
cat states—are a resource for quantum metrology, quantum communication and quantum …

Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

Realizing topological superconductivity and Majorana zero modes in the laboratory is a
major goal in condensed-matter physics. In this Review, we survey the current status of this …

In most naturally occurring superconductors, electrons with opposite spins form Cooper
pairs. This includes both conventional s-wave superconductors such as aluminium, as well …