We investigate the origin of the band gap in the spin ice material Dy₂Ti₂O₇. The band gap is caused by Bardeen-Cooper-Schrieffer (BCS)-type electron-electron interactions that are transformed from electron-ion interactions. Additionally, the residual finite entropy at absolute zero temperature results from band gap effects rather than the nature of the Pauling-type spin ice.

中文翻译：

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自旋冰材料Dy 2 Ti 2 O 7中的带隙和残余熵

我们研究了自旋冰材料Dy ₂ Ti ₂ O _7中带隙的起源。带隙是由Bardeen-Cooper-Schrieffer（BCS）型电子-电子相互作用引起的，该电子-电子相互作用是从电子-离子相互作用转变而来的。另外，在绝对零温度下的残余有限熵是由带隙效应而不是鲍林型旋转冰的性质引起的。