NDLI: First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice

Content Provider	Springer Nature Link
Author	Waldtmann, C. Everts, H. U. Bernu, B. Lhuillier, C. Sindzingre, P. Lecheminant, P. Pierre, L.
Copyright Year	1998
Abstract	We study the exact low energy spectra of the spin 1/2 Heisenberg antiferromagnet on small samples of the kagomé lattice of up to N=36 sites. In agreement with the conclusions of previous authors, we find that these low energy spectra contradict the hypothesis of Néel type long range order. Certainly, the ground state of this system is a spin liquid, but its properties are rather unusual. The magnetic ( $$(\Delta S = 1)$$ ) excitations are separated from the ground state by a gap. However, this gap is filled with nonmagnetic ( $$(\Delta S = 0)$$ ) excitations. In the thermodynamic limit the spectrum of these nonmagnetic excitations will presumably develop into a gapless continuum adjacent to the ground state. Surprisingly, the eigenstates of samples with an odd number of sites, i.e. samples with an unsaturated spin, exhibit symmetries which could support long range chiral order. We do not know if these states will be true thermodynamic states or only metastable ones. In any case, the low energy properties of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice clearly distinguish this system from either a short range RVB spin liquid or a standard chiral spin liquid. Presumably they are facets of a generically new state of frustrated two-dimensional quantum antiferromagnets.
Starting Page	501
Ending Page	507
Page Count	7
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	2
Issue Number	4
e-ISSN	14346036
Language	English
Publisher	EDP Sciences
Publisher Date	1998-05-01
Publisher Place	Les Ulis
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Condensed Matter Physics Physics Statistical Physics, Dynamical Systems and Complexity Fluid- and Aerodynamics Solid State Physics
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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