论文标题
相关电子系统中有效的动量摩托车耦合
Effective momentum-momentum coupling in a correlated electronic system
论文作者
论文摘要
我们提出了一种部分重新融合本地化键合电子对他们在类似Hubbard的汉密尔顿人巡回演出的动力学的影响的方法。这是通过放松的约束来完成的，即前者应该通过使用像born-oppenheimer的Ansatz在基础晶格部位之间的化学键中完全冷冻，以便整个电子系统的波浪功能。因此，后者包括巡回和键合电子坐标。超越绝热近似值，我们表明，在其地面和激发态之间粘结电子的虚拟跃迁的净效应是为巡回电子提供有效的电子间动量摩托车相互作用。尽管我们已经将这些想法应用于特定的环案例，但我们的假设可以推广到具有我们本文使用的所需属性的更高维度系统。
We present a way of partly reincorporate the effects of the localized bonding electrons on the dynamics of their itinerant counterparts in Hubbard-like Hamiltonians. This is done by relaxing the constraint that the former should be entirely frozen in the chemical bonds between the underlying lattice sites through the employment of a Born-Oppenheimer-like ansatz for the wavefunction of the whole electronic system. Accordingly, the latter includes itinerant as well as bonding electron coordinates. Going beyond the adiabatic approximation, we show that the net effect of virtual transitions of bonding electrons between their ground and excited states is to furnish the itinerant electrons with an effective inter-electronic momentum-momentum interaction. Although we have applied these ideas to the specific case of rings, our assumptions can be generalized to higher dimensional systems sharing the required properties of which we have made use herein.
