arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0710.3852cond-mat.str-elcond-mat.supr-con
收藏

半填充p带光晶格中费米子的量子反铁磁性

Quantum Antiferromagnetism of Fermions in Optical Lattices with Half-filled p-band

Kai Wu, Hui Zhai

摘要:

我们研究了三维光晶格中的费米气体,其中每个格点有五个费米子,即s带完全充满,p带有三倍简并度半充满.结果表明,对于费米子之间的排斥作用,系统在低温下将呈现自旋为3/2的反铁磁有序。在强相互作用区,通过强耦合展开得到各向同性自旋3/2的海森堡模型;在弱相互作用区,通过Hatree-Fock平均场论和费米面嵌套分析得到这一结论.我们发现,这种反铁磁性的p-带莫特绝缘体的临界温度是约两个数量级高于$s$-带莫特绝缘体,这是接近目前可达到的最低温度。

英文摘要:

We study Fermi gases in a three-dimensional optical lattice with five fermions per site, i.e. the s-band is completely filled and the p-band with three-fold degeneracy is half filled. We show that, for repulsive interaction between fermions, the system will exhibit spin-3/2 antiferromagnetic order at low temperature. This conclusion is obtained in strong interaction regime by strong coupling expansion which yields an isotropic spin-3/2 Heisenberg model, and also in weak interaction regime by Hatree-Fock mean-field theory and analysis of Fermi surface nesting. We show that the critical temperature for this antiferromagnetism of a p-band Mott insulator is about two orders of magnitudes higher than that of an $s$-band Mott insulator, which is close to the lowest temperature attainable nowadays.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑