Helmes, Johannes and Wessel, Stefan (2015). Correlations and entanglement in quantum critical bilayer and necklace XY models. Phys. Rev. B, 92 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969
Full text not available from this repository.Abstract
We analyze the critical properties and the entanglement scaling at the quantum critical points of the spin-half XY model on a two-dimensional square-lattice bilayer and necklace lattice, based on quantum Monte Carlo simulations on finite tori and for different subregion shapes. For both models, the finite-size scaling of the transverse staggered spin structure factor is found in accord with a quantum critical point described by the two-component, three-dimensional empty set(4) theory. The second Renyi entanglement entropy in the absence of corners along the subsystem boundary exhibits area-law scaling in both models, with an area-law prefactor of 0.0674(7) [0.0664(4)] for the bilayer (necklace) model, respectively. Furthermore, the presence of 90 degrees corners leads to an additive logarithmic term in both models. We estimate a contribution of -0.010(2) [-0.009(2)] due to each 90 degrees corner to the logarithmic correction for the bilayer (necklace) model, and compare our findings to recent numerical linked-cluster calculations and series expansion results on related models.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-393010 | ||||||||||||
DOI: | 10.1103/PhysRevB.92.125120 | ||||||||||||
Journal or Publication Title: | Phys. Rev. B | ||||||||||||
Volume: | 92 | ||||||||||||
Number: | 12 | ||||||||||||
Date: | 2015 | ||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||
ISSN: | 2469-9969 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/39301 |
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