https://doi.org/10.1140/epjc/s10052-019-6888-z
Regular Article - Theoretical Physics
Holographic entanglement entropy with momentum relaxation
1
Department of Physics, Sejong University, Seoul, 05006, South Korea
2
Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju, 61005, South Korea
3
Asia Pacific Center for Theoretical Physics, Pohang, 790-784, South Korea
4
Department of Physics, Postech, Pohang, 790-784, South Korea
5
Department of Physics, College of Science, Yonsei University, Seoul, 120-749, South Korea
* e-mail: junghun.lee@gist.ac.kr
Received:
8
January
2019
Accepted:
18
April
2019
Published online:
30
April
2019
We studied the holographic entanglement entropy for a strip and sharp wedge entangling regions in momentum relaxation systems. In the case of strips, we found analytic and numerical results for the entanglement entropy and examined the effect of the electric field on the entanglement entropy. We also studied the entanglement entropy of wedges and confirmed that there is a linear change due to the electric field. In this case, we showed that the entanglement entropy change is interestingly proportional to the thermoelectric conductivity which is a measurable quantity. Also, we discussed comparable calculations with ABJM theory and we suggested an experiment for our result.
© The Author(s), 2019