Entanglement action for the real-space entanglement spectra of chiral abelian quantum Hall wave functions

Journal article

We argue and numerically substantiate that the real-space entanglement spectrum (RSES) of chiral Abelian quantum Hall states is given by the spectrum of a local boundary perturbation of a (1+1)-dimensional conformal field theory, which describes an effective edge dynamics along the real-space cut. The cut-and-glue approach suggests that the low-lying RSES is equivalent to the low-lying modes of some effective edge action. The general structure of this action is deduced by mapping to a boundary critical problem, generalizing the work of Dubail, Read, and Rezayi [Phys. Rev. B 85, 115321 (2012)]. Using trial wave functions, we numerically test our model of the RSES for the ν=2/3 bosonic composite fermion state.

Authors: Henderson, G; Sreejith, GJ; Simon, S

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: American Physical Society
• Journal: Physical Review B
• Volume: 104
• Article number: 195434
• Publication date: 2021-11-29
• Acceptance date: 2021-11-18
• DOI: 10.1103/PhysRevB.104.195434
• EISSN: 2469-9969
• ISSN: 2469-9950
• Language: English
• Keywords: FFR