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arXiv · 2108.09547

Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions

Greg J. Henderson·G J Sreejith·Steven H. Simon
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Abstract

We argue and numerically substantiate that the real-space entanglement spectrum (RSES) of composite fermion quantum Hall states is given by the spectrum of a local boundary perturbation of a $(1+1)$d conformal field theory (CFT), 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 work of Dubail, Read, and Rezayi [PRB 85, 11531 (2012)]. Using trial wave functions we numerically test our model of the RSES for the $ν= 2/3$ bosonic composite fermion state.

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Greg J. Henderson, G J Sreejith, Steven H. Simon. 2021-08-21. Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions. https://doi.org/10.1103/physrevb.104.195434

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