Stability of the smectic phase in arrays of parallel quantum wires
Stability of the smectic phase in arrays of parallel quantum wires
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DOI：
10.1103/physrevb.106.125140
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发表时间：
2022-02
影响因子：
3.7
通讯作者：
Geo Jose;B. Uchoa
中科院分区：
文献类型：
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作者：
Geo Jose;B. Uchoa
利用玻色子化，我们研究了一个由二维狄拉克费米子在周期性拓扑畴壁存在下构造的平行量子线模型。该模型考虑了波函数（cid:96）在导线横向上的横向扩散。当考虑线间库仑相互作用时，约束于各畴壁的无间隙模形成了卢廷格液体，实现了众所周知的近晶非费米液体不动点。对现象学模型的微扰研究表明，近晶不动点对超导、条纹、近晶和费米液相等多种相都是不稳定的。在这里，我们证明了所考虑的模型导致了一个只有近晶金属和费米液相的相图。近晶金属相在理想量子线极限（cid:96）→0时是稳定的。对于有限（cid:96），我们发现一个临界库仑耦合将强耦合的近晶金属与弱耦合的费米液相分离开来。我们推测，没有超导性应该是类似模型的一个普遍特征。我们讨论了该模型与由云纹异质结构产生的量子线的相关性。
Using bosonization, we study a 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 (cid:96) 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 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 (cid:96) → 0 . For finite (cid:96) , we find a critical Coulomb coupling 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 models. We discuss the relevance of this model for quantum wires created with moire heterostructures.