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We present a systematic study of coupled $S=1/2$ Heisenberg antiferromagneticchains in an effective staggered field. We investigate several effects of thestaggered field in the {\em higher} ({\em two or three}) {\em dimensional} spinsystem analytically. In particular, in the case where the staggered field andthe inter-chain interaction compete with each other, we predict, usingmean-field theory, a characteristic phase transition. The spin-wave theorypredicts that the behavior of the gaps induced by the staggered field isdifferent between the competitive case and the non-competitive case. When theinter-chain interactions are sufficiently weak, we can improve the mean-fieldphase diagram by using chain mean-field theory and the analytical results offield theories. The ordered phase region predicted by the chain mean-fieldtheory is substantially smaller than that by the mean-field theory.Comment: 13pages, 12figures, to be published in PR

physical review. b, condensed matter and materials physics

Coupled<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>Heisenberg antiferromagnetic chains in an effective staggered field

CoupledS=12Heisenberg antiferromagnetic chains in an effective staggered field