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 …

We present a self-contained review of the theory of dislocation-mediated quantum melting at
zero temperature in two spatial dimensions. The theory describes the liquid-crystalline …

Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-
body systems and essentially unavoidable in solid state materials. Often, such random …

The relationships among charge order, spin fluctuations, and superconductivity in
underdoped cuprates remain controversial. We use neutron scattering techniques to study …

Skyrmions and skyrmion crystal (SkX) discovered in chiral magnets show unique physical
properties due to their nontrivial topology such as the stability against the annihilation and …

The dislocation-mediated quantum melting of solids into quantum liquid crystals is extended
from two to three spatial dimensions, using a generalization of boson-vortex or Abelian …

With substantial evidence of glassy behavior in the phase diagram of high-T c
superconductors and its coexistence with superconductivity, we attempt to answer the …

Suggestive, but indirect evidence of the existence of pair-density wave (PDW) order in
several high-$ T_ {\rm c} $ cuprates has been reported. As this constitutes a new quantum …

An unidentified quantum fluid designated the pseudogap (PG) phase is produced by
electron-density depletion in the CuO2 antiferromagnetic insulator. Current theories suggest …

We use high-resolution neutron Larmor diffraction and capacitative dilatometry to investigate
spontaneous and forced magnetostriction in undoped, antiferromagnetic YBa 2 Cu 3 O 6.0 …