540 citations · 4.8k across the 94 of their papers we have counts for
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Higher-group symmetry in finite gauge theory and stabilizer codes
Maissam Barkeshli, Yu-An Chen, Po-Shen Hsin +1
A large class of gapped phases of matter can be described by topological finite group gauge theories. In this paper we show how such gauge theories possess a higher-group global sy…
Quantized charge polarization as a many-body invariant in (2+1)D crystalline topological states and Hofstadter butterflies
Yuxuan Zhang, Naren Manjunath, Gautam Nambiar +1
We show how to define a quantized many-body charge polarization for (2+1)D topological phases of matter, even in the presence of non-zero Chern number and magne…
Extracting Wilson loop operators and fractional statistics from a single bulk ground state
Ze-Pei Cian, Mohammad Hafezi, Maissam Barkeshli
An essential aspect of topological phases of matter is the existence of Wilson loop operators that keep the ground state subspace invariant. Here we present and implement an \it un…
Non-perturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+1)D
Naren Manjunath, Vladimir Calvera, Maissam Barkeshli
In (1+1)D topological phases, unpaired Majorana zero modes (MZMs) can arise only if the internal symmetry group of the ground state splits as $G_f = G_b \times \mathbb{Z}_2^f…
Codimension-2 defects and higher symmetries in (3+1)D topological phases
Maissam Barkeshli, Yu-An Chen, Sheng-Jie Huang +3
(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are s…
Fractional disclination charge and discrete shift in the Hofstadter butterfly
Yuxuan Zhang, Naren Manjunath, Gautam Nambiar +1
In the presence of crystalline symmetries, topological phases of matter acquire a host of invariants leading to non-trivial quantized responses. Here we study a particular invarian…