Frustrated Heisenberg antiferromagnet on the checkerboard lattice: J(1)-J(2) model

Bishop, R. F., Li, P. H. Y., Farnell, Damian J. J. ORCID: https://orcid.org/0000-0003-0662-1927, Richter, J. and Campbell, C. E. 2012. Frustrated Heisenberg antiferromagnet on the checkerboard lattice: J(1)-J(2) model. Physical Review B: Condensed Matter and Materials Physics 85 (20) , 205122. 10.1103/PhysRevB.85.205122

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Abstract

We study the zero-temperature ground-state (gs) phase diagram of the spin-12 anisotropic planar pyrochlore (or crossed chain) model using the coupled cluster method (CCM). The model is equivalently described as a frustrated J1-J2 antiferromagnet on the two-dimensional checkerboard lattice, with nearest-neighbor exchange bonds of strength J1>0 and next-nearest-neighbor bonds of strength J2≡κJ1>0. Using various antiferromagnetic (AFM) classical ground states as CCM reference states, we present results for the gs energy, average local on-site magnetization, and the susceptibilities of these states against the formation of plaquette valence-bond crystal (PVBC) and crossed-dimer valence-bond crystal (CDVBC) ordering. We show that the AFM quasiclassical state with Néel ordering is the gs phase for κ<κc1≈0.80±0.01, but that none of the infinitely degenerate set of AFM states that form the gs phase for the classical version (s→∞) of the model (for κ>1) survive the quantum fluctuations to form a stable magnetically ordered gs phase for the s=1/2 case. Instead, our calculations indicate a PVBC-ordered phase for κc1<κ<κc2≈1.22±0.02, and a CDVBC-ordered phase for all κ>κc2. Both transitions are likely to be direct ones, although we cannot exclude very narrow coexistence regions confined to 0.79≲κ≲0.81 and 1.20≲κ≲1.22, respectively.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Dentistry
Subjects:	Q Science > QC Physics
Publisher:	American Physical Society
ISSN:	1098-0121
Last Modified:	04 Jan 2024 08:38
URI:	https://orca.cardiff.ac.uk/id/eprint/59338

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