Parastatistics for Highly Correlated Two Dimensional Fermi Systems
Parastatistics for Highly Correlated Two Dimensional Fermi Systems
复制标题
高度相关的二维费米系统的寄生统计
DOI：
10.1007/978-1-4613-0565-1_39
复制
发表时间：
1989
期刊：
影响因子：
--
通讯作者：
D. Morse
中科院分区：
文献类型：
--
作者：
E. Mele;D. Morse
本文讨论了二维费米子大U Hubbard模型准粒子的一种超统计表象。我们的表示取代了动力学Gutzwiller约束在大U哈伯德模型的准粒子服从的运动学约束。由此产生的超统计物体通过U（1）规范场相互作用，这可以在平均场理论中解释为准粒子与宏观（有限）系统上的有效边界电流的长程相互作用，该电流的大小由封闭多体系统的净自旋指定。说明性的例子，采用这种统计表示的计算讨论了强相关的哈伯德问题都在半满带和远离半满带。
A parastatistics representation for the quasiparticles of the large U Hubbard model for fermions in two dimensions is discussed. Our representation replaces the dynamical Gutzwiller constraint in the large U Hubbard model by a kinematical constraint obeyed by the quasiparticles. The resulting parastatistical objects interact through a U(1) gauge field, which can be interpreted in a mean field theory as a long range interaction of the quasiparticles with an effective boundary current on a macroscopic (finite) system, with the size of this current specified by the net spin of the enclosed many body system. Illustrative examples of calculations employing this statistical representation are discussed for the strongly correlated Hubbard problem both at the half filled band and away from the half filled band.