62 citations · 266 across the 12 of their papers we have counts for
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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…
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…
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…