Hidden, Entangled and Resonating Orders

This lecture delves into the historical discovery of hidden orders in materials, focusing on the unexpected magnetic behavior of manganese oxide in the 1930s. The discussion progresses to the concept of antiferromagnetism and the verification of hidden orders through neutron diffraction techniques. The lecture then explores the potential technological implications of antiferromagnetic materials, particularly in superconductors and magnetic sensors. The instructor also presents ongoing research on composite orders, such as magneto-electric multiples, and the quest to identify new types of hidden orders in materials. The lecture concludes with a discussion on multi-ferroic quantum criticality and the exploration of dynamical hidden orders in materials.