2.2k citations · 2.7k across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Topological charge density waves at half-integer filling of a moiré superlattice
Hryhoriy Polshyn, Yuxuan Zhang, Manish A. Kumar +7
At partial filling of a flat band, strong electronic interactions may favor gapped states harboring emergent topology with quantized Hall conductivity. Emergent topological states…
Electrical switching of magnetic order in an orbital Chern insulator
Hryhoriy Polshyn, Jihang Zhu, Manish A. Kumar +8
Magnetism typically arises from the joint effect of Fermi statistics and repulsive Coulomb interactions, which favors ground states with non-zero electron spin. As a result, contro…
Tuning superconductivity in twisted bilayer graphene
Matthew Yankowitz, Shaowen Chen, Hryhoriy Polshyn +5
Materials with flat electronic bands often exhibit exotic quantum phenomena owing to strong correlations. Remarkably, an isolated low-energy flat band can be induced in bilayer gra…