Generalized Landau Paradigm for quantum phases and phase transitions

TL;DR

This paper proposes a generalized Landau paradigm based on breaking generalized symmetries to understand quantum phases and transitions beyond the traditional framework, utilizing recent concepts like generalized gauging and topological holography.

Contribution

It introduces a systematic framework extending the Landau paradigm through generalized symmetries and gauging, applicable to complex quantum phases.

Findings

Generalized symmetry breaking captures beyond Landau phases.

Gauging procedures relate to topological holography.

Framework unifies understanding of quantum phase transitions.

Abstract

The Landau paradigm is a central dogma for understanding phase and phase transitions in condensed matter systems, yet for decades it has been known that a variety of quantum phases exist beyond the framework. Is there a more general framework that provides a systematic understanding of phase and phase transitions in quantum many-body systems? Recent developments of the notion of generalized symmetry and generalized gauging seem to point to a way to generalize the Landau Paradigm. In this essay, we discuss how `beyond Landau' phases and phase transitions can be captured by a generalized Landau paradigm in terms of the breaking of generalized symmetries, often induced by the generalized gauging procedure facilitated through the topological holography formalism. We also discuss what needs to be understood to make the generalized Landau paradigm useful in the study of quantum phase and phase transitions.