论文标题

SU(N)近代晶格模型中的铁磁磁性 - SU(N)双交换和超对称性

Ferromagnetism in the SU(N) Kondo lattice model -- SU(N) double exchange and supersymmetry

论文作者

Totsuka, Keisuke

论文摘要

我们研究了当伴有伴侣耦合J_K(铁磁和抗铁磁磁性)足够强的近距离耦合J_K时,SU(N) - 单位模型的SU(N) - 属性的地面特性都足够强。两种情况都可以使用光学晶格中的碱性 - 地球样冷气来实现。具体而言,我们首先进行了强耦合扩展,并确定两个绝缘阶段(其中一个是众所周知的杂乱无章的kondo singlet阶段的su(n) - 动态)。然后,我们严格地确定低密度(对于J_K <0)或高密度(对于J_K> 0)区域中的基态是铁磁性的。结果是通过将双交换机制推广到SU(N)“旋转”来解释的。还讨论了(广义)SU(N)近晶石模型中Bose-Fermi超对称SU(N | 1)的可能实现。

We study the ground-state properties of the SU(N)-generalization of the Kondo-lattice model in one dimension when the Kondo coupling J_K (both ferromagnetic and antiferromagnetic) is sufficiently strong. Both cases can be realized using alkaline-earth-like cold gases in optical lattices. Specifically, we first carry out the strong-coupling expansion and identify two insulating phases (one of which is the SU(N)-analogue of the well-known gapped Kondo singlet phase). We then rigorously establish that the ground state in the low-density (for J_K<0) or the high-density (for J_K>0) region is ferromagnetic. The results are accounted for by generalizing the double-exchange mechanism to SU(N) "spins". Possible realizations of Bose-Fermi supersymmetry SU(N|1) in the (generalized) SU(N) Kondo-lattice model are discussed as well.

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