3 papers
cond-mat.str-el2026
Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions
Xie Chen, Shang Liu, Da-chuan Lu +1
Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations wit…
cond-mat.str-el2026
Constructing Bulk Topological Orders via Layered Gauging
Shang Liu
Understanding quantum phases and phase transitions in the presence of symmetries is a central objective of quantum many-body physics. A powerful modern paradigm for investigating t…
cond-mat.str-el2021
Magnetic impurities at quantum critical points: large- expansion and SPT connections
Shang Liu, Hassan Shapourian, Ashvin Vishwanath +1
In symmetry protected topological (SPT) phases, the combination of symmetries and a bulk gap stabilizes protected modes at surfaces or at topological defects. Understanding the fat…