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 …

This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Moiré quantum matter has emerged as a materials platform in which correlated and
topological phases can be explored with unprecedented control. Among them, magic-angle …

Nonlinear optical and electrical effects associated with a lack of spatial inversion symmetry
allow direction-selective propagation and transport of quantum particles, such as photons …

Recent advances in materials fabrication have enabled the manufacturing of ordered 2D
electron systems, such as heterogeneous interfaces, atomic layers grown by molecular …

In non-centrosymmetric superconductors, where the crystal structure lacks a centre of
inversion, parity is no longer a good quantum number and an electronic antisymmetric spin …

Abstract Systems simultaneously exhibiting superconductivity and spin–orbit coupling are
predicted to provide a route toward topological superconductivity and unconventional …

This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

Symmetry-breaking has been known to play a key role in non-centrosymmetric
superconductors with strong spin–orbit interactions (SOIs; refs,,,,,). The studies, however …

We employed ab initio calculations to identify a class of crystalline materials of M Si (M= Fe,
Co, Mn, Re, Ru) having double-Weyl points in both their acoustic and optical phonon …