具有对跳的哈伯德模型的q变形超对称变体的代数方法
Algebraic approach to q-deformed supersymmetric variants of the Hubbard model with pair hoppings
摘要：
我们构造了两个量子自旋链哈密顿量，|1）不变性。这些自旋链定义了哈伯德模型的变体，并描述了具有对跳跃的电子模型。一个三次代数，它允许Birman-Wenzl-Murakami代数作为一个商，允许周期链的精确可解。分别用U_q（sl（2））的区别基和费米子基构造了两个哈密顿量|（1）不同之处仅在于边界条件。它们实际上是等价的，但这种等价是非局部的。通过求解反射方程，得到了具有非平凡边界条件的开链上的精确可解性。得到了sl（2）的量子包络代数的中心和Scasimirs| 1）出现作为工具的建设完全可解的哈密顿量。
英文摘要：
We construct two quantum spin chains Hamiltonians with quantum sl(2|1) invariance. These spin chains define variants of the Hubbard model and describe electron models with pair hoppings. A cubic algebra that admits the Birman-Wenzl-Murakami algebra as a quotient allows exact solvability of the periodic chain. The two Hamiltonians, respectively built using the distinguished and the fermionic bases of U_q(sl(2|1)) differ only in the boundary terms. They are actually equivalent, but the equivalence is non local. Reflection equations are solved to get exact solvability on open chains with non trivial boundary conditions. Two families of diagonal solutions are found. The centre and the Scasimirs of the quantum enveloping algebra of sl(2|1) appear as tools for the construction of exactly solvable Hamiltonians.
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