One-hole Green function, momentum distribution and quasiparticle weight of the U to infinity 1D Hubbard model
One-hole Green function, momentum distribution and quasiparticle weight of the U to infinity 1D Hubbard model
复制标题
U到无穷大一维哈伯德模型的单孔格林函数、动量分布和准粒子权重
DOI：
10.1088/0953-8984/4/13/020
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
A. Parola
中科院分区：
文献类型：
--
作者：
S. Sorella;A. Parola
本文从一维Hubbard模型的Lieb和Wu解出发，讨论了基元激发的自旋-电荷退耦对单粒子性质的影响，如动量分布、准粒子重量和绿色函数等.特别是他们详细分析了结构的一个孔的绿色功能在半填充，这还没有以前计算的场论方法，由于故障的共形不变性。一个丰富的结构被发现与分支切奇点在ω =+或-2辛k，但没有简单的极点。虽然G（k，ω）的解析结构与通常表征能带绝缘体的结构有很大不同，但空穴对动量的非平凡依赖性允许空穴传播。这些结果提供了一个精确的表征一维莫特绝缘体。绿色函数的分支切割和准粒子重量的有限尺寸标度之间的关系也被讨论，连同其对数值数据分析的影响。
Starting from the known Lieb and Wu solution of the one-dimension-Hubbard model in the U to infinity limit, the authors show how the spin-charge decoupling of the elementary excitations is responsible for several peculiar features in one-particle properties, such as momentum distribution, quasiparticle weight and the Green function. In particular they analyse in detail the structure of the one-hole Green function at half-filling, which has not been previously calculated by field theory methods due to the breakdown of conformal invariance. A rich structure is found with branch cut singularities at omega =+or-2 sin k but no simple poles. The non-trivial dependence on the momentum of the hole allows for hole propagation although the analytic structure of G(k, omega ) is quite different from that usually characterizing band insulators. These results provide a precise characterization of one-dimensional Mott insulators. The relationship between the branch cuts of the Green function and the finite-size scaling of the quasiparticle weight is also discussed together with its implications for the analysis of numerical data.