论文标题
平行量子线阵列中近晶相的稳定性
Stability of the smectic phase in arrays of parallel quantum wires
论文作者
论文摘要
我们使用玻体化研究了在存在周期性拓扑结构壁的存在下，由二维dirac fermions构成的平行量子线的微观模型。该模型解释了波形$ \ ell $在横向向电线的横向扩展。显示出限制在每个结构域壁的无间隙模式形成了Luttinger液体，当考虑到Interwire Coulomb相互作用时，该模式实现了众所周知的近晶型非Fermi液体固定点。对现象学模型的扰动研究表明，近晶固定点不稳定在多种阶段，例如超导性，条纹，晶状体和费米液相。在这里，我们表明所考虑的显微镜模型仅带有近晶金属和费米液相的相图。近晶金属相在理想的量子线极限$ \ ell \ to0 $中是稳定的。对于有限的$ \ ell $，我们发现了一个关键的库仑耦合$α_{c} $，将强耦合晶状体金属与弱耦合的费米液相分开。我们猜想缺乏超导性应该是相似微观模型的一般特征。最后，我们通过Moire异质结构讨论了该模型的物理实现。
Using bosonization, we study a microscopic model of parallel quantum wires constructed from two dimensional Dirac fermions in the presence of periodic topological domain walls. The model accounts for the lateral spread of the wavefunctions $\ell$ in the transverse direction to the wires. The gapless modes confined to each domain wall are shown to form Luttinger liquids, which realize a well known smectic non-Fermi liquid fixed point when interwire Coulomb interactions are taken into account. Perturbative studies on phenomenological models have shown that the smectic fixed point is unstable towards a variety of phases such as superconductivity, stripe, smectic and Fermi liquid phases. Here, we show that the considered microscopic model leads to a phase diagram with only smectic metal and Fermi liquid phases. The smectic metal phase is stable in the ideal quantum wire limit $\ell\to0$. For finite $\ell$, we find a critical Coulomb coupling $α_{c}$ separating the strong coupling smectic metal from a weak coupling Fermi liquid phase. We conjecture that the absence of superconductivity should be a generic feature of similar microscopic models. Finally, we discuss the physical realization of this model with moire heterostructures.
