论文标题
电子状态在非扰动状态中杂交纳米 - 纤维中的定位
Localization of Electronic States in Hybrid Nano-Ribbons in the Non-Perturbative Regime
论文作者
论文摘要
我们研究了在存在较强的相互作用和有限体积内的7/9杂交纳米替比系统中低能单一准粒子状态的定位。我们考虑两种情况，第一种情况是半填充的哈伯德模型，并对包括密切相关的制度的范围$ u $进行量子蒙特卡洛模拟。在第二种情况下，我们添加了最近的邻居超导配对$δ$，并采用对称线限制，其中$δ$的数量与跳参数$ t $相等。在此限制中，可以直接解决一般现场相互作用$ u $的准粒子光谱和波形。在这两种情况下，我们都提取了依赖于位点的准粒子波函数密度，并证明在特定情况下，这些非扰动状态持续存在。
We investigate the localization of low-energy single quasi-particle states in the 7/9-hybrid nanoribbon system in the presence of strong interactions and within a finite volume. We consider two scenarios, the first being the Hubbard model at half-filling and perform quantum Monte Carlo simulations for a range $U$ that includes the strongly correlated regime. In the second case we add a nearest-neighbor superconducting pairing $Δ$ and take the symmetric line limit, where $Δ$ is equal in magnitude to the hopping parameter $t$. In this limit the quasi-particle spectrum and wavefunctions can be directly solved for general onsite interaction $U$. In both cases we extract the site-dependent quasi-particle wavefunction densities and demonstrate that localization persists in these non-perturbative regimes under particular scenarios.
