62 citations · 266 across the 12 of their papers we have counts for
12 papers
Invariants for (2+1)D bosonic crystalline topological insulators for all 17 wallpaper groups
Vladimir Calvera, Naren Manjunath, Maissam Barkeshli
We study bosonic symmetry-protected topological (SPT) phases in (2+1) dimensions with symmetry , where is a general wallpaper group…
Crystalline invariants of fractional Chern insulators
Ryohei Kobayashi, Yuxuan Zhang, Naren Manjunath +1
In the presence of crystalline symmetry, topologically ordered states can acquire a host of symmetry-protected invariants. These determine the patterns of crystalline symmetry frac…
Characterization and classification of interacting (2+1)D topological crystalline insulators with orientation-preserving wallpaper groups
Naren Manjunath, Vladimir Calvera, Maissam Barkeshli
While free fermion topological crystalline insulators have been largely classified, the analogous problem in the strongly interacting case has been only partially solved. In this p…
Complete crystalline topological invariants from partial rotations in (2+1)D invertible fermionic states and Hofstadter's butterfly
Yuxuan Zhang, Naren Manjunath, Ryohei Kobayashi +1
The theory of topological phases of matter predicts invariants protected only by crystalline symmetry, yet it has been unclear how to extract these from microscopic calculations in…
Rotational Symmetry Protected Edge and Corner States in Abelian topological phases
Naren Manjunath, Abhinav Prem, Yuan-Ming Lu
Spatial symmetries can enrich the topological classification of interacting quantum matter and endow systems with non-trivial strong topological invariants (protected by internal s…
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…