论文标题
库珀三元组的可能凝结
Possible condensation of Cooper triples
论文作者
论文摘要
从理论上讲，我们在具有三体有吸引力的相互作用的三成分费米系统中讨论了库珀三元组的可能凝结，这与库珀对的三体版本相对应。在存在组成粒子的费米表面的情况下，宏观数量的库珀三元组可以占据零质量中心动量状态，即使三体操作员表现出与费米 - 迪拉克统计相关的反广泛关系。与内部自由度的这种凝结相似，类似于无限组件费米子系统中的琼脂化。我们提出了用于冷凝的库珀三元组的变异波函数，并表明在基态下，与正常状态相比，凝结状态在能量上受到阳性。此外，我们讨论了三组分哈伯德模型描述的晶格系统中费米 - 表面失真的效果。
We theoretically discuss the possible condensation of Cooper triples, which correspond to a three-body version of Cooper pairs, in three-component Fermi systems with three-body attractive interactions. A macroscopic number of Cooper triples can occupy a zero center-of-mass momentum state in the presence of a Fermi surface of constituent particles, even though the three-body operator exhibits anti-commutation relation associated with the Fermi-Dirac statistics. Such a condensation with internal degrees of freedom is similar to bosonization in a system of infinite-component fermions. We propose a variational wave function for condensed Cooper triples and show that in the ground state, the condensed state is energetically favored compared to the normal state. Also, we discuss effects of the Fermi-surface distortion in a lattice system described by a three-component Hubbard model.
