In noncentrosymmetric materials, the responses (for example, electrical and optical)
generally depend on the direction of the external stimuli, called nonreciprocal phenomena …

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 …

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 …

Stimulated by the recent experiment [F. Ando, Nature (London) 584, 373 (2020). NATUAS
0028-0836 10.1038/s41586-020-2590-4], we propose an intrinsic mechanism to cause the …

Materials with multiple superconducting phases are rare. Here, we report the discovery of
two-phase unconventional superconductivity in CeRh2As2. Using thermodynamic probes …

Inversion and time reversal are essential symmetries for the structure of Cooper pairs in
superconductors. The loss of one or both leads to modifications to this structure and can …

Nonreciprocity in superconductors is attracting much interest owing to its fundamental
importance as well as the potential applicability to engineering. In this paper, we generalize …

We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …

Superconductivity and magnetism are adversarial states of matter. The presence of
spontaneous magnetic fields inside the superconducting state is, therefore, an intriguing …

The multipole moment is an established concept of electrons in solids. Entanglement of spin,
orbital, and sublattice degrees of freedom is described by the multipole moment, and …