A superconducting diode enables supercurrent to flow in only one direction, providing new
functionalities for superconducting circuits. In recent years, there has been experimental …

We review the physics of pair-density wave (PDW) superconductors. We begin with a
macroscopic description that emphasizes order induced by PDW states, such as charge …

Cooper pairs in non-centrosymmetric superconductors can acquire finite centre-of-mass
momentum in the presence of an external magnetic field. Recent theory predicts that such …

We propose a universal mechanism for the Josephson diode effect in short Josephson
junctions. The proposed mechanism is due to finite Cooper pair momentum and is a …

The recent discovery of the intrinsic supercurrent diode effect, and its prompt observation in
a rich variety of systems, has shown that non-reciprocal supercurrents naturally emerge …

We report nonreciprocal dissipation-less transport in single ballistic InSb nanoflag
Josephson junctions. Applying an in-plane magnetic field, we observe an inequality in …

Majorana zero modes—quasiparticle states localized at the boundaries of topological
superconductors—are expected to be ideal building blocks for fault-tolerant quantum …

Topological superconductors can support localized Majorana states at their boundaries,,,–.
These quasi-particle excitations obey non-Abelian statistics that can be used to encode and …

We consider a two-dimensional electron gas with strong spin-orbit coupling contacted by
two superconducting leads, forming a Josephson junction. We show that in the presence of …

Finite-momentum Cooper pairing is an unconventional form of superconductivity that is
widely believed to require finite magnetization. Altermagnetism is an emerging magnetic …