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 , which is believed to be a non-Fermi liquid state. Using a composite fermion wave function which captures the state very accurately, we compute the second Rényi entropy using the variational Monte Carlo technique. We find the entanglement entropy scales as with the length of the boundary as it does for free fermions, but has a prefactor twice that of free fermions.
- Received 3 March 2014
DOI:https://doi.org/10.1103/PhysRevLett.114.206402
© 2015 American Physical Society