Superconducting correlations in any dimensionality
超导电性
2007-05-23 v1
摘要
We consider the static anomalous Cooper loop for the electron gas of arbitrary spatial dimensionality, D. This object enters the mean-field equation for the superconducting temperature, T_c. The closed expression in r- space is found at T=0 as an analytical function of D. Its counterpart in q-space has a logarithmic singularity at q=0 and no singularities at q=2k_F for any D. We extend our analysis for the case of finite T and note that in two dimensions the bound state of two electrons is possible even in the limit k_F -> 0. We comment on the possible implications of this fact for the theory of high-T_c cuprates.
引用
@article{arxiv.cond-mat/9807381,
title = {Superconducting correlations in any dimensionality},
author = {D. N. Aristov},
journal= {arXiv preprint arXiv:cond-mat/9807381},
year = {2007}
}
备注
4 pages, REVTEX, one eps figure