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THE RARE MULTIPOLARS. “Thus far, true multipolar order has been discovered, or predicted, for about a dozen crystalline materials.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

HEN’S TEETH. “It turns out, however, that the appearance of true multipolar order, that is, of rank higher than dipolar order, is actually rare in solid state compounds.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

ORBITAL ASYMMETRY. “Since electrons on filled atomic shells lead only to spherical charge distributions, the electrons in open shells are responsible for the anisotropic charge and spin distributions and thus for the eventual appearance of multipolar order.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

OPPOSITES. “The opposite of a correct statement is a false statement. But the opposite of a profound truth may well be another profound truth.”(Niels Bohr). https://lnkd.in/e3-J7hXM View in LinkedIn

ELECTRON CHARGES. “In particular, the electron clouds around nuclei in crystalline materials can be systematically characterized by using the multipole expansion.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

CONDENSED MATTER SYSTEMS. “This diversity of phenomena can be attributed to the multiple degrees of freedom available to the electronic system that, in itself or in conjunction to lattice degrees of freedom, can have access to entangled spin and orbital states.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

CHAOTIC TIME, “It turns out that yet another version of Anderson localization is possible: Anderson localization in time due to the presence of disorder in time.” https://lnkd.in/e5UXiem5 View in LinkedIn

ASTROPHYSICS. “Condensed matter systems display a richness of physical phenomena, such as, e.g., strongly correlated electron behavior, complex magnetic orders, orbital order, unusual forms of superconductivity and quantum critical behavior.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

QUANTUM SUPPRESSION. “Anderson localization can also be observed in momentum space (often called dynamical localization) and it is related to the quantum suppression of classical diffusion of a particle in classically chaotic systems.” https://lnkd.in/e5UXiem5 View in LinkedIn

WIDE APPLICATIONS. “The multipole description has subsequently become used in many branches of physics, including nuclear physics) and solid state physics.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn