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

## Author(s): Shao, Junping; Kim, Eun-Ah; Haldane, Frederick D; Rezayi, Edward H

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 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 nu = 1/2, which is believed to be a non-Fermi liquid state. Using a composite fermion wave function which captures the nu = 1/2 state very accurately, we compute the second Renyi entropy using the variational Monte Carlo technique. We find the entanglement entropy scales as L log L with the length of the boundary L as it does for free fermions, but has a prefactor twice that of free fermions. Publication Date: 22-May-2015 Electronic Publication Date: 22-May-2015 Citation: Shao, Junping, Kim, Eun-Ah, Haldane, FDM, Rezayi, Edward H. (2015). Entanglement Entropy of the nu=1/2 Composite Fermion Non-Fermi Liquid State. PHYSICAL REVIEW LETTERS, 114 (10.1103/PhysRevLett.114.206402 DOI: doi:10.1103/PhysRevLett.114.206402 ISSN: 0031-9007 EISSN: 1079-7114 Type of Material: Journal Article Journal/Proceeding Title: PHYSICAL REVIEW LETTERS Version: Final published version. This is an open access article.

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