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

Junping Shao, Eun-Ah Kim, F. D. M. Haldane, and Edward H. Rezayi
Phys. Rev. Lett. 114, 206402 – Published 22 May 2015
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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 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.

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  • Received 3 March 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.206402

© 2015 American Physical Society

Authors & Affiliations

Junping Shao1,*, Eun-Ah Kim2, F. D. M. Haldane3, and Edward H. Rezayi4

  • 1Department of Physics, Binghamton University, Binghamton, New York 13902, USA
  • 2Department of Physics, Cornell University, Ithaca, New York 14853, USA
  • 3Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 4Department of Physics, California State University Los Angeles, Los Angeles, California 90032, USA

  • *Also at Department of Physics, Cornell University, Ithaca, NY 14853, USA.

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Vol. 114, Iss. 20 — 22 May 2015

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