English

Low-dimensional BEC

Superconductivity 2017-08-23 v3

Abstract

The Bose-Einstein condensation (BEC) temperature TcT_{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 TcT_{c} is then compared to that of Wen & Kan (1988) in d=2+ϵd=2+\epsilon dimensions, for small ϵ\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>1d>1.

Keywords

Cite

@article{arxiv.cond-mat/0006458,
  title  = {Low-dimensional BEC},
  author = {F. J. Sevilla and M. Grether and M. Fortes and M. de Llano and O. Rojo and M. A. Solís and A. A. Valladares},
  journal= {arXiv preprint arXiv:cond-mat/0006458},
  year   = {2017}
}

Comments

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