掺杂AB_2 Hubbard链：螺旋、Nagaoka和RVB态、相分离和Luttinger液体行为
Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
摘要：
我们提出了一个广泛的数值研究的哈伯德模型的掺杂AB $_2$链，无论是在弱耦合和无限U限制。由于特殊的晶胞拓扑结构，该系统显示出丰富的各种各样的相作为远离半填充的空穴掺杂（$δ$）的函数。近半填充，螺旋状态发展在弱耦合制度，而长冈巡游铁磁性观察到在无限U极限。对于更高的掺杂，系统相分离，然后达到短程RVB状态在$δ=1/3$的莫特绝缘相。此外，对于$δ>1/3$，我们观察到一个交叉，这预期的Luttinger液体行为的$δ> 2/3$。
英文摘要：
We present an extensive numerical study of the Hubbard model on the doped AB$_2$ chain, both in the weak coupling and the infinite-U limit. Due to the special unit cell topology, this system displays a rich variety of phases as function of hole doping ($δ$) away from half-filling. Near half-filling, spiral states develop in the weak coupling regime, while Nagaoka itinerant ferromagnetism is observed in the infinite-U limit. For higher doping the system phase-separates before reaching a Mott insulating phase of short-range RVB states at $δ=1/3$. Moreover, for $δ>1/3$ we observe a crossover, which anticipates the Luttinger liquid behavior for $δ> 2/3$.
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