Physics and Astronomy, Ames Laboratory
Journal or Book Title
Annual Review of Condensed Matter Physics
A hallmark of the phase diagrams of quantum materials is the existence of multiple electronic ordered states, which, in many cases, are not independent competing phases, but instead display a complex intertwinement. In this review, we focus on a particular realization of intertwined orders: a primary phase characterized by a multi-component order parameter and a fluctuation-driven vestigial phase characterized by a composite order parameter. This concept has been widely employed to elucidate nematicity in iron-based and cuprate superconductors. Here we present a group-theoretical framework that extends this notion to a variety of phases, providing a classification of vestigial orders of unconventional superconductors and density waves. Electronic states with scalar and vector chiral order, spin-nematic order, Ising-nematic order, time-reversal symmetry-breaking order, and algebraic vestigial order emerge from one underlying principle. The formalism provides a framework to understand the complexity of quantum materials based on symmetry, largely without resorting to microscopic models.
Posted with permission from the Annual Review of Condensed Matter Physics, Volume 10 by Annual Reviews, http://www.annualreviews.org.
Fernandes, Rafael M.; Orth, Peter P.; and Schmalian, Jorg, "Intertwined vestigial order in quantum materials: nematicity and beyond" (2019). Physics and Astronomy Publications. 479.