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The thermal expansion coefficient $\alpha$ of MgB$_2$ is revealed to changefrom positive to negative on cooling through the superconducting transitiontemperature $T_c$. The Gr\"uneisen function also becomes negative at $T_c$followed by a dramatic increase to large positive values at low temperature.The results suggest anomalous coupling between superconducting electrons andlow-energy phonons.Comment: 5 figures. submitted to Phys. Rev. Let

physical review. b, condensed matter and materials physics

Negative thermal expansion of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Mg</mml:mi><mml:msub><mml:mi mathvariant="normal">B</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>in the superconducting state and anomalous behavior of the bulk Grüneisen function

Negative thermal expansion ofMgB2in the superconducting state and anomalous behavior of the bulk Grüneisen function