一维长程跳跃Hubbard环中的环流：精确对角化方法与平均场方法的比较
Circulating current in 1D Hubbard rings with long-range hopping: Comparison between exact diagonalization method and mean-field approach
摘要：
详细分析了磁通量为$ϕ$的介观一维导电环中Hubbard相互作用、长程跳跃和无序之间的相互作用对持续电流的影响。采用两种不同的方法，精确数值对角化和Hartree-Fock平均场论，从多体哈密顿量得到数值结果。无序环中的电流由于电子相关而增强，并且当考虑到高阶跳跃的贡献时，即使它们与最近邻跳跃相比太小，它也变得更加重要。当然，在持续电流振幅的理论和实验结果长期存在争议的时代，这可能是一个有趣的观察结果。除$ϕ=0$和$\pm ϕ_0/2$外，我们还发现了一些典型的电子填充和扭结结构在不同磁通量下的半通量量子周期电流。为了使我们的分析更完整，还讨论了电流的标度行为。
英文摘要：
The interplay between Hubbard interaction, long-range hopping and disorder on persistent current in a mesoscopic one-dimensional conducting ring threaded by a magnetic flux $ϕ$ is analyzed in detail. Two different methods, exact numerical diagonalization and Hartree-Fock mean field theory, are used to obtain numerical results from the many-body Hamiltonian. The current in a disordered ring gets enhanced as a result of electronic correlation and it becomes more significant when contributions from higher order hoppings, even if they are too small compared to nearest-neighbor hopping, are taken into account. Certainly this can be an interesting observation in the era of long-standing controversy between theoretical and experimental results of persistent current amplitudes. Along with these we also find half-flux quantum periodic current for some typical electron fillings and kink-like structures at different magnetic fluxes apart from $ϕ=0$ and $\pm ϕ_0/2$. The scaling behavior of current is also discussed for the sake of completeness of our present analysis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
