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Low-dimensional BEC

F. J. Sevilla·M. Grether·M. Fortes·M. de Llano·O. Rojo·M. A. Solís·A. A. Valladares
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Abstract

The Bose-Einstein condensation (BEC) temperature $T_{c}$ of Cooper pairs (CPs) created from a very general interfermion interaction is determined for a {\it linear}, as well as the usual quadratic, energy {\it vs}% center-of-mass momentum dispersion relation. This $T_{c}$ is then compared to that of Wen & Kan (1988) in $d=2+ε$ dimensions, for small $ε$, in a geometry of an infinite stack of parallel (e.g., copper-oxygen) planes as in a cuprate, and with a new result for linear-dispersion CPs. This allows addressing, as a rough first approximation, superconductivity for any $d>1$.

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F. J. Sevilla, M. Grether, M. Fortes, M. de Llano, O. Rojo, M. A. Solís, A. A. Valladares. 2000-08-30. Low-dimensional BEC. https://doi.org/10.1023/a%3A1017564621987

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