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

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


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
Article number206402
JournalPhysical Review Letters
Issue number20
StatePublished - 22 May 2015

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.


Dive into the research topics of 'Entanglement Entropy of the ν=1/2 Composite Fermion Non-Fermi Liquid State'. Together they form a unique fingerprint.

Cite this