191 citations · 650 across the 9 of their papers we have counts for
9 papers
Fracton Self-Statistics
Hao Song, Nathanan Tantivasadakarn, Wilbur Shirley +1
Fracton order describes novel quantum phases of matter that host quasiparticles with restricted mobility, and thus lies beyond the existing paradigm of topological order. In partic…
Optimal Thresholds for Fracton Codes and Random Spin Models with Subsystem Symmetry
Hao Song, Janik Schönmeier-Kromer, Ke Liu +3
Fracton models provide examples of novel gapped quantum phases of matter that host intrinsically immobile excitations and therefore lie beyond the conventional notion of topologica…
Bosonic Crystalline Symmetry Protected Topological Phases Beyond the Group Cohomology Proposal
Hao Song, Charles Zhaoxi Xiong, Sheng-Jie Huang
It is demonstrated by explicit construction that three-dimensional bosonic crystalline symmetry protected topological (cSPT) phases are classified by $H_ϕ^{5}(G;\mathbb{Z})\oplus H…
Cage-Net Fracton Models
Abhinav Prem, Sheng-Jie Huang, Hao Song +1
We introduce a class of gapped three-dimensional models, dubbed "cage-net fracton models," which host immobile fracton excitations in addition to non-Abelian particles with restric…
Twisted Fracton Models in Three Dimensions
Hao Song, Abhinav Prem, Sheng-Jie Huang +1
We study novel three-dimensional gapped quantum phases of matter which support quasiparticles with restricted mobility, including immobile "fracton" excitations. So far, most exist…
Building crystalline topological phases from lower-dimensional states
Sheng-Jie Huang, Hao Song, Yi-Ping Huang +1
We study the classification of symmetry protected topological (SPT) phases with crystalline symmetry (cSPT phases). Focusing on bosonic cSPT phases in two and three dimensions, we…
Topological phases protected by point group symmetry
Hao Song, Sheng-Jie Huang, Liang Fu +1
We consider symmetry protected topological (SPT) phases with crystalline point group symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be understood in…
Space group symmetry fractionalization in a family of exactly solvable models with Z2 topological order
Hao Song, Michael Hermele
We study square lattice space group symmetry fractionalization in a family of exactly solvable models with topological order in two dimensions. In particular, we hav…
Mott insulators of ultracold fermionic alkaline earth atoms in three dimensions
Hao Song, Michael Hermele
We study a class of SU(N) Heisenberg models, describing Mott insulators of fermionic ultra-cold alkaline earth atoms on the three-dimensional simple cubic lattice. Based on an earl…