Spin-1/2 Heisenberg antiferromagnet on an anisotropic kagome lattice

Li, P. H. Y., Bishop, R. F., Campbell, C. E., Farnell, Damian J. J. ORCID: https://orcid.org/0000-0003-0662-1927, Goetze, O and Richter, J. 2012. Spin-1/2 Heisenberg antiferromagnet on an anisotropic kagome lattice. Physical Review B: Condensed Matter and Materials Physics 86 , 214403.

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Abstract

We use the coupled-cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-12 moments on an infinite spatially anisotropic kagome lattice of corner-sharing isosceles triangles, with nearest-neighbor bonds only. The bonds have exchange constants J1>0 along two of the three lattice directions and J2≡κJ1>0 along the third. In the classical limit, the ground-state (GS) phase for κ<12 has collinear ferrimagnetic (Néel′) order where the J2-coupled chain spins are ferromagnetically ordered in one direction with the remaining spins aligned in the opposite direction, while for κ>12 there exists an infinite GS family of canted ferrimagnetic spin states, which are energetically degenerate. For the spin-12 case, we find that quantum analogs of both these classical states continue to exist as stable GS phases in some regions of the anisotropy parameter κ, namely, for 0<κ<κc1 for the Néel′ state and for (at least part of) the region κ>κc2 for the canted phase. However, they are now separated by a paramagnetic phase without either sort of magnetic order in the region κc1<κ<κc2, which includes the isotropic kagome point κ=1 where the stable GS phase is now believed to be a topological (Z2) spin liquid. Our best numerical estimates are κc1=0.515±0.015 and κc2=1.82±0.03.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Dentistry
Publisher:	American Physical Society
ISSN:	1098-0121
Last Modified:	04 Jan 2024 08:38
URI:	https://orca.cardiff.ac.uk/id/eprint/59335

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