Causes and effects of Quantum geometry in solids

Traditionally, the electronic properties of solids have been approached via the low energy dispersion of Bloch bands, motivating single band approximations in many metals and semiconductors. However, in many modern quantum materials the length and time scales introduced by quantum dipole fluctuations lead to interband mixing effects which are fundamentally irremovable. Such behavior has been termed 'quantum geometry' because it is manifest in the momentum space texture of the electronic wavefunctions. The scales introduced by geometry not only qualitatively modify the linear and nonlinear responses of a material but can also have a vital role in determining the many-body ground state. This talk explores how quantum geometry impacts properties of materials and outlines recent experimental advances that have begun to explore quantum geometric effects.