Super-Hubbard models and applications
Super-Hubbard models and applications
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超级哈伯德模型和应用
DOI：
10.1088/1126-6708/2007/05/008
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发表时间：
2007
影响因子：
5.4
通讯作者：
E. Ragoucy
中科院分区：
文献类型：
--
作者：
J. Drummond;G. Feverati;L. Frappat;E. Ragoucy
我们基于酉超代数gl（N |M）构造了XX-和Hubbard-类模型，推广了Shastry和Maassarani的代数情况方法。我们引入了gl(N |M) XX模型的r矩阵和通过耦合两个独立XX模型定义的Hubbard模型的r矩阵。在这两种情况下，我们证明了r -矩阵满足Yang-Baxter方程，我们在传递矩阵形式中推导了相应的局部哈密顿量，并确定了哈密顿量的对称性。给出了明确的例子。在gl（1|2）和gl(2|2) Hubbard模型的情况下，在两个环（Klein和Seitz）上进行了微扰计算。
We construct XX- and Hubbard- like models based on unitary superalgebras gl(N |M) generalising Shastry's and Maassarani's approach of the algebraic case. We introduce the R-matrix of the gl(N |M) XX model and that of the Hubbard model defined by coupling two independent XX models. In both cases, we show that the R-matrices satisfy the Yang-Baxter equation, we derive the corresponding local Hamiltonian in the transfer matrix formalism and we determine the symmetry of the Hamiltonian. Explicit examples are worked out. In the cases of the gl(1|2) and gl(2|2) Hubbard models, a perturbative calculation at two loopsla Klein and Seitz is performed.