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We use linked-cluster series expansions, both at T=0 and high temperature, toanalyse the phase structure of the spin-$\half$ Heisenberg antiferromagnet withcompeting first and second-neighbor interactions on the 3-dimensionalbody-centred-cubic lattice. At zero temperature we find a first-order quantumphase transition at $J_2/J_1 \simeq 0.705 \pm 0.005$ between AF$_1$ (Ne\'el)and AF$_2$ ordered phases. The high temperature series yield quite accurateestimates of the bounding critical line for the AF$_1$ phase, and an apparentcritical line for the AF$_2$ phase, with a bicritical point at $J_1/J_2\simeq0.71$, $kT/J_1\simeq 0.34$. The possibility that this latter transition isfirst-order cannot be excluded.Comment: 10 pages, 4 figure

physical review. b, condensed matter and materials physics

Phase diagram of the bcc<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 antiferromagnet with first and second neighbor exchange

Phase diagram of the bccS=12Heisenberg antiferromagnet with first and second neighbor exchange