Entanglement spectrum as a marker for phase transitions in the density embedding theory for interacting spinless fermionic models

Here, the authors show that the entanglement spectrum -- a fingerprint of the quantum many-body wave function -- of strongly correlated fermionic systems can be evaluated almost exactly by density embedding theory. An accurate entanglement spectrum guarantees the accuracy of the local density matrix or the physical properties, and their anomalies generally serve as markers for phase transitions, including not only the Landau symmetry-breaking ones but also topological transitions.