Low-dimensional BEC

Details Low-dimensional BEC Low-dimensional BEC

2000-06-28

arxiv.org/abs/cond-mat/0006458v3

Journal of Low Temperature Physics 121, 281 (2000).

Physics

Condensed Matter

Superconductivity

6 pages included 2 figures Submitted to J. of Low Temperature Physics (proceedings of Quantum Fluids and Solids 2000)

Scientific paper

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+\epsilon $ dimensions, for small $\epsilon $, 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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