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The Heisenberg Antiferromagnet with Anisotropic Exchange on the Kagome
Lattice | | T. Yavors'kii
; W. Apel
; H.-U. Everts
; | | Date: |
11 Apr 2007 | | Subject: | Strongly Correlated Electrons (cond-mat.str-el); Statistical Mechanics (cond-mat.stat-mech) | | Abstract: | We study the properties of the Heisenberg antiferromagnet with spatially
anisotropic nearest-neighbour exchange couplings on the kagome net. For small
anisotropy, this model may describe the magnetic properties of the mineral
volborthite. In the classical limit, it exhibits two kinds of ground-states: a
ferrimagnetic state for small anisotropy and a large manifold of canted spin
states for moderate and large anisotropy. To include quantum effects
self-consistently, we investigate the SP(N) symmetric generalisation of the
original SU(2) symmetric model in the large-N limit. Besides the anisotropy,
the SP(N) symmetric model depends on a parameter kappa that measures the
importance of quantum effects. Our numerical calculations reveal that in the
kappa-J plane, the system shows a rich phase diagram containing a
ferrimagnetic, an incommensurate phase, and a decoupled chain phase, the latter
two with short- and long-range order. We corroborate these results by showing
that the boundaries between the various phases and several other features of
the SP(N) phase diagram can be determined by analytical calculations. Finally,
by applying a block-spin perturbation expansion directly to the original S=1/2
spin model, we argue that in the limit of large anisotropy, the ground-state of
the anisotropic kagome antiferromagnet is a valence bond crystal. | | Source: | arXiv, arxiv.0704.1441 | | Services: | Forum | Review | PDF | Favorites | |
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