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A gap-protected zero-Hall effect state in the quantum limit of the nonsymmorphic metal KHgSb
Sihang Liang, Satya Kushwaha, Tong Gao +8
A recurring theme in topological matter is the protection of unusual electronic states by symmetry, for example, protection of the surface states in Z2 topological insulators by ti…
The Landau Level of Fragile Topology
Biao Lian, Fang Xie, B. Andrei Bernevig
We study the Hofstadter butterfly and Landau levels of the twisted bilayer graphene (TBG). We show that the nontrivial fragile topology of the lowest two bands near the charge neut…
The Axion Insulator as a Pump of Fragile Topology
Benjamin J. Wieder, B. Andrei Bernevig
The axion insulator (AXI) has long been recognized as the simplest example of a 3D magnetic topological insulator (TI). The most familiar AXI results from magnetically gapping the…
Three-dimensional superconductors with hybrid higher order topology
Nick Bultinck, B. Andrei Bernevig, Michael P. Zaletel
We consider three dimensional superconductors in class DIII with a four-fold rotation axis and inversion symmetry. It is shown that such systems can exhibit higher order topology w…
All "Magic Angles" Are "Stable" Topological
Zhida Song, Zhijun Wang, Wujun Shi +3
We show that the electronic structure of the low-energy bands in the small angle-twisted bilayer graphene consists of a series of semi-metallic and topological phases. In particula…
Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
Sanjay Moudgalya, Nicolas Regnault, B. Andrei Bernevig
We obtain multiple exact results on the entanglement of the exact excited states of non-integrable models we introduced in arXiv:1708.05021. We first discuss a general formalism to…