540 citations · 4.7k across the 88 of their papers we have counts for
6 papers · 1 filter
Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems
Meng Cheng, Nathan Seiberg
We analyze lattice Hamiltonian systems whose global symmetries have 't Hooft anomalies. As is common in the study of anomalies, they are probed by coupling the system to classical…
Ground state degeneracy on torus in a family of toric code
Haruki Watanabe, Meng Cheng, Yohei Fuji
Topologically ordered phases in dimensions are generally characterized by three mutually-related features: fractionalized (anyonic) excitations, topological entanglement entr…
Classification and construction of interacting fractonic higher-order topological phases
Jian-Hao Zhang, Meng Cheng, Zhen Bi
The notion of higher-order topological phases can have interesting generalizations to systems with subsystem symmetries that exhibit fractonic dynamics for charged excitations. In…
Gauging Lie group symmetry in (2+1)d topological phases
Meng Cheng, Po-Shen Hsin, Chao-Ming Jian
We present a general algebraic framework for gauging a 0-form compact, connected Lie group symmetry in (2+1)d topological phases. Starting from a symmetry fractionalization pattern…
Topological Disorder Parameter
Bin-Bin Chen, Hong-Hao Tu, Zi Yang Meng +1
We introduce a many-body topological invariant, called the topological disorder parameter (TDP), to characterize gapped quantum phases with global internal symmetry in (2+1)d. TDP…
Gauging U(1) symmetry in (2+1)d topological phases
Meng Cheng, Chao-Ming Jian
We study the gauging of a global U(1) symmetry in a gapped system in (2+1)d. The gauging procedure has been well-understood for a finite global symmetry group, which leads to a new…