Quantum Hall Effect in a Weyl-Hubbard Model: Interplay between Topology and Correlation

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum Hall effect to explore the consequence of onsite Hubbard repulsion on nontrivial Weyl band topology in the presence of an external magnetic field. Within the Gutzwiller projected wavefunction method, we find the system to undergo multiple topological phase transitions, including two distinct Weyl phases with a different number of Weyl node pairs and a trivial narrow band insulator, by tuning on-site Coulomb interaction. Interestingly, these two Weyl phases can be identified by the sign of their chiral Landau levels. The possible experimental signature of these topological phases and correlation effects is provided by the magnetic-field dependent quantum Hall conductivity within the Kubo response theory.