Entanglement entropy with Lifshitz fermions

Hartmann, Dion; Kavanagh, Kevin; Vandoren, Stefan

doi:10.21468/SciPostPhys.11.2.031

SciPost Physics

Entanglement entropy with Lifshitz fermions

Dion Hartmann, Kevin Kavanagh, Stefan Vandoren

SciPost Phys. 11, 031 (2021) · published 17 August 2021

doi: 10.21468/SciPostPhys.11.2.031
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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 $z$.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.2.031
TI  - Entanglement entropy with Lifshitz fermions
PY  - 2021/08/17
UR  - https://scipost.org/SciPostPhys.11.2.031
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 2
SP  - 031
A1  - Hartmann, Dion
AU  - Kavanagh, Kevin
AU  - Vandoren, Stefan
AB  - 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 $z$.
ER  -

@Article{10.21468/SciPostPhys.11.2.031,
	title={{Entanglement entropy with Lifshitz fermions}},
	author={Dion Hartmann and Kevin Kavanagh and Stefan Vandoren},
	journal={SciPost Phys.},
	volume={11},
	pages={031},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.2.031},
	url={https://scipost.org/10.21468/SciPostPhys.11.2.031},
}

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