TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.1.010
TI  - Extracting subleading corrections in entanglement entropy at quantum phase transitions
PY  - 2024/07/11
UR  - https://scipost.org/SciPostPhys.17.1.010
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 1
SP  - 010
A1  - Song, Menghan
AU  - Zhao, Jiarui
AU  - Meng, Zi Yang
AU  - Xu, Cenke
AU  - Cheng, Meng
AB  - We systematically investigate the finite size scaling behavior of the Rényi entanglement entropy (EE) of several representative 2d quantum many-body systems between a subregion and its complement, with smooth boundaries as well as boundaries with corners. In order to reveal the subleading correction, we investigate the quantity "subtracted EE" $S^s(l) = S(2l) - 2S(l)$ for each model, which is designed to cancel out the leading perimeter law. We find that (1) for a spin-1/2 model on a 2d square lattice whose ground state is the Neel order, the coefficient of the logarithmic correction to the perimeter law is consistent with the prediction based on the Goldstone modes; (2) for the $(2+1)d$ O(3) Wilson-Fisher quantum critical point (QCP), realized with the bilayer antiferromagnetic Heisenberg model, a logarithmic subleading correction exists when there is sharp corner of the subregion, but for subregion with a smooth boundary our data suggests the absence of the logarithmic correction to the best of our efforts; (3) for the $(2+1)d$ SU(2) J-Q$_2$ and J-Q$_3$ model for the deconfined quantum critical point (DQCP), we find a logarithmic correction for the EE even with smooth boundary.
ER  -

@Article{10.21468/SciPostPhys.17.1.010,
	title={{Extracting subleading corrections in entanglement entropy at quantum phase transitions}},
	author={Menghan Song and Jiarui Zhao and Zi Yang Meng and Cenke Xu and Meng Cheng},
	journal={SciPost Phys.},
	volume={17},
	pages={010},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.1.010},
	url={https://scipost.org/10.21468/SciPostPhys.17.1.010},
}