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Momentum-space instantons and maximally localized flat-band topological Hamiltonians
Chao-Ming Jian, Zheng-Cheng Gu, Xiao-Liang Qi
Recently, two-dimensional band insulators with a topologically nontrivial (almost) flat band has been studied extensively, which can realize integer and fractional quantum Hall eff…
Topological flat band models with arbitrary Chern numbers
Shuo Yang, Zheng-Cheng Gu, Kai Sun +1
We report the theoretical discovery of a systematic scheme to produce topological flat bands (TFBs) with arbitrary Chern numbers. We find that generically a multi-orbital high Cher…
Braiding statistics approach to symmetry-protected topological phases
Michael Levin, Zheng-Cheng Gu
We construct a 2D quantum spin model that realizes an Ising paramagnet with gapless edge modes protected by Ising symmetry. This model provides an example of a "symmetry-protected…
Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear models and a special group supercohomology theory
Zheng-Cheng Gu, Xiao-Gang Wen
Symmetry-protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry , which can all be smoothly connected to the trivial product states i…