Entanglement signatures of multipolar higher-order topological phases

Oleg Dubinkin, Taylor L. Hughes

Research output: Contribution to journalArticlepeer-review


We propose a procedure that characterizes free-fermion or interacting classes of higher-order topological phases via their bulk entanglement structure. To this end, we construct nested entanglement Hamiltonians by first applying an entanglement cut to the ordinary many-body ground state, and then iterating the procedure by applying further entanglement cuts to the (assumed unique) ground state of the entanglement Hamiltonian. We argue that some classes of nth-order topological phases can be characterized by the features of their nth-order nested entanglement Hamiltonian, e.g., degeneracy in the entanglement spectrum. We explicitly compute nested entanglement spectra for a set of higher-order, free and interacting, fermionic and bosonic multipole and boundary obstructed phases and show that our method successfully identifies such phases.

Original languageEnglish (US)
Article number155138
JournalPhysical Review B
Issue number15
StatePublished - Oct 15 2023
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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