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On Topology of the Moduli Space of Gapped Hamiltonians for Topological Phases
Po-Shen Hsin, Zhenghan Wang
The moduli space of gapped Hamiltonians that are in the same topological phase is an intrinsic object that is associated to the topological order. The topology of these moduli spac…
Ground state degeneracy of the Ising cage-net model
Xiuqi Ma, Ananth Malladi, Zongyuan Wang +2
The Ising cage-net model, first proposed in Phys. Rev. X 9, 021010 (2019), is a representative type I fracton model with nontrivial non-abelian features. In this paper, we calculat…
Volume and Topological Invariants of Quantum Many-body Systems
Xiao-Gang Wen, Zhenghan Wang
A gapped many-body system is described by path integral on a space-time lattice , which gives rise to a partition function if , a…
Fracton Models on General Three-Dimensional Manifolds
Wilbur Shirley, Kevin Slagle, Zhenghan Wang +1
Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in three spatial dimensions, contain some 'topological' features: they support fractional bul…
Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter
Iris Cong, Meng Cheng, Zhenghan Wang
We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitati…
On Defects Between Gapped Boundaries in Two-Dimensional Topological Phases of Matter
Iris Cong, Meng Cheng, Zhenghan Wang
Defects between gapped boundaries provide a possible physical realization of projective non-abelian braid statistics. A notable example is the projective Majorana/parafermion braid…