论文标题
费米眼镜中的内在不稳定性
Intrinsic Instabilities in Fermi Glasses
论文作者
论文摘要
我们在本文中研究了弱，短距离相互作用对无序金属的影响。通过分析非交互和相应的Hartree-fock单粒子汉密尔顿的不同特征状态之间的相互作用矩阵元素，我们认为，由于费米斯表面周围的局部单粒子本征局体，在fermi表面上，在费米表面上，fermi表面上的较低率较弱（但在武器上均具有限制性的限制性），但在武器上的限制性（但均具有限制性）。这是一种与强相互作用$ u \ sim w_b $（$ w_b = $ bandwidth）或量子griffiths效应的机制大不相同，在这些机制中，在小型局部区域形成本地矩，在小型局部区域中，与周围的耦合较弱。进行数值模拟以验证我们的分析。我们进一步在Landau Fermi-liquid型框架内提出，我们的结果适用于具有弱，短距离相互作用的通用电子系统，只要存在准粒子状态并且本地化。获得有吸引力的相互作用获得了类似的结果，这表明费米玻璃态在任意维度上本质上是不稳定的。
We study in this paper the effect of weak, short-ranged interaction on disordered metals. Through analysing the interaction matrix elements between different eigenstates of the non-interacting and corresponding Hartree-Fock single-particle Hamiltonian, we argue that as a result of localized single-particle eigenstates around the Fermi surface, the quasi-particle states on the Fermi surface are unstable towards formation of magnetic moments for arbitrary weak (but finite) repulsive interaction in the thermodynamic limit. This is a mechanism very different from the case of strong interaction $U\sim W_B$ ($W_B=$ bandwidth) or the quantum Griffiths effect where local moments are formed at small localized regions where coupling to the surrounding is weak. Numerical simulations are performed to verify our analysis. We further propose within a Landau Fermi-liquid-type framework that our result is applicable for general electronic systems with weak, short-ranged interaction as long as the quasi-particle states exist and are localized. An analogous result is obtained for attractive interaction, suggesting that Fermi glass state is intrinsically unstable in arbitrary dimension.
