Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Helmes, Johannes UNSPECIFIED UNSPECIFIED UNSPECIFIED Wessel, Stefan UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language ENTROPY Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/39301