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Entanglement Entropy with Lifshitz Fermions

by Dion Hartmann, Kevin Kavanagh, Stefan Vandoren

Submission summary

As Contributors: Dion Hartmann
Arxiv Link: https://arxiv.org/abs/2104.10913v2 (pdf)
Date submitted: 2021-04-30 10:18
Submitted by: Hartmann, Dion
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
  • Quantum Physics
Approach: Theoretical

Abstract

We investigate fermions with Lifshitz scaling symmetry and study their entanglement entropy in 1+1 dimensions as a function of the scaling exponent $z$. Remarkably, in the ground state the entanglement entropy vanishes for even values of $z$, whereas for odd values it is independent of $z$ and equal to the relativistic case with $z=1$. We show this using the correlation method on the lattice, and also using a holographic cMERA approach. The entanglement entropy in a thermal state is a more detailed function of $z$ and $T$ which we plot using the lattice correlation method. The dependence on the even- or oddness of $z$ still shows for small temperatures, but is washed out for large temperatures or large values of $z$.

Current status:
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Submission 2104.10913v2 on 30 April 2021

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