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Zoology of Fractional Chern Insulators
Yang-Le Wu, B. Andrei Bernevig, N. Regnault
We study four different models of Chern insulators in the presence of strong electronic repulsion at partial fillings. We observe that all cases exhibit a Laughlin-like phase at fi…
Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
Chen Fang, Matthew J. Gilbert, Xi Dai +1
We perform a complete classification of two-band $\bk\cdot\mathbf{p}$ theories at band crossing points in 3D semimetals with -fold rotation symmetry and broken time-reversal sym…
Real-Space Entanglement Spectrum of Quantum Hall States
A. Sterdyniak, A. Chandran, N. Regnault +2
We investigate the entanglement spectra arising from sharp real-space partitions of the system for quantum Hall states. These partitions differ from the previously utilized orbital…
Emergent Many-Body Translational Symmetries of Abelian and Non-Abelian Fractionally Filled Topological Insulators
B. Andrei Bernevig, N. Regnault
The energy and entanglement spectrum of fractionally filled interacting topological insulators exhibit a peculiar manifold of low energy states separated by a gap from a high energ…
Trace Index and Spectral Flow in the Entanglement Spectrum
A. Alexandradinata, Taylor L. Hughes, B. Andrei Bernevig
We investigate the entanglement spectra of topological insulators which manifest edge states on a lattice with spatial boundaries. In the physical energy spectrum, a subset of the…
Spin-Singlet Quantum Hall States and Jack Polynomials with a Prescribed Symmetry
Benoit Estienne, Bogdan A. Bernevig
We show that a large class of bosonic spin-singlet Fractional Quantum Hall model wave-functions and their quasi-hole excitations can be written in terms of Jack polynomials with a…