Entanglement Entropy of the ν=1/2 Composite Fermion Non-Fermi Liquid State

Junping Shao, Eun Ah Kim, F. D.M. Haldane, Edward H. Rezayi

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24 Scopus citations

Abstract

The so-called "non-Fermi liquid" behavior is very common in strongly correlated systems. However, its operational definition in terms of "what it is not" is a major obstacle for the theoretical understanding of this fascinating correlated state. Recently there has been much interest in entanglement entropy as a theoretical tool to study non-Fermi liquids. So far explicit calculations have been limited to models without direct experimental realizations. Here we focus on a two-dimensional electron fluid under magnetic field and filling fraction ν=1/2, which is believed to be a non-Fermi liquid state. Using a composite fermion wave function which captures the ν=1/2 state very accurately, we compute the second Rényi entropy using the variational Monte Carlo technique. We find the entanglement entropy scales as LlogL with the length of the boundary L as it does for free fermions, but has a prefactor twice that of free fermions.

Original languageEnglish (US)
Article number206402
JournalPhysical review letters
Volume114
Issue number20
DOIs
StatePublished - May 22 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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