论文标题
介导的相互作用对混合效率效费原子中的哈伯德链的影响
Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms
论文作者
论文摘要
冷原子实验现在可以实现混合物，其中不同的组件在不同的空间维度中移动。我们研究了一种fermion混合物，其中一种物种被限制为沿着嵌入另一个由另一种福尔物种的二维晶格中的一维晶格移动，并且所有裸露的相互作用都是接触相互作用。通过关注一维费米子，我们将此问题映射到链上非本地相互作用的费米模型。有效的相互作用是由二维费米子介导的，既有吸引力又弱智，其形式可以通过改变二维费米子的密度来改变。通过在弱耦合和绝热极限中使用功能性重归其化基团，我们表明可以控制一维费米子在各种密度波，或旋转旋转或三胞胎超导相位阶段。
Cold atom experiments can now realize mixtures where different components move in different spatial dimensions. We investigate a fermion mixture where one species is constrained to move along a one-dimensional lattice embedded in a two-dimensional lattice populated by another species of fermions, and where all bare interactions are contact interactions. By focusing on the one-dimensional fermions, we map this problem onto a model of fermions with non-local interactions on a chain. The effective interaction is mediated by the two-dimensional fermions and is both attractive and retarded, the form of which can be varied by changing the density of the two-dimensional fermions. By using the functional renormalization group in the weak-coupling and adiabatic limit, we show that the one-dimensional fermions can be controlled to be in various density-wave, or spin-singlet or triplet superconducting phases.
