Extracting subleading corrections in entanglement entropy at quantum phase transitions
Menghan Song, Jiarui Zhao, Zi Yang Meng, Cenke Xu, Meng Cheng
SciPost Phys. 17, 010 (2024) · published 11 July 2024
- doi: 10.21468/SciPostPhys.17.1.010
- Submissions/Reports
Abstract
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.
Cited by 6
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Menghan Song,
- 1 Jiarui Zhao,
- 1 Zi Yang Meng,
- 2 Cenke Xu,
- 3 Meng Cheng
- Research Grants Council, University Grants Committee (through Organization: University Grants Committee [UGC])