TAKING THE SQUARE ROOT OF THE DISCRETE 1/R2 MODEL

被引：46
|
作者：
SHASTRY, BS
机构：
[1] AT and T Bell Laboratories, Murray Hill
来源：
PHYSICAL REVIEW LETTERS | 1992年 / 69卷 / 01期
关键词：
D O I：
10.1103/PhysRevLett.69.164
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We exhibit a factorization of the exactly solvable discrete 1/r2 exchange Heisenberg model. We express the Hamiltonian of the model on a lattice of L sites, as a sum over the squares of L operators in eight distinct ways, using the eight generators of the SU(3) group, and demonstrate that each of the 8 L operators annihilate the Gutzwiller wave function. The wave function is thus proven to be the exact ground state of the 1/r2 model, and we also provide a scheme for the construction of an infinite number of Hamiltonians for which it is the ground state.
引用
收藏
页码：164 / 167
页数：4
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