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arXiv 1503.08998cond-mat.str-el
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具有自旋-三重态配对基态的一维扩展哈伯德模型

One-dimensional extended Hubbard model with spin-triplet pairing ground states

Akinori Tanaka

摘要:

结果表明,一维扩展哈伯德模型在一定参数范围内具有饱和铁磁基态,并伴随自旋三重态电子对凝聚。得到了固定电子数的基态波函数。我们还构造了两个自旋旋转和规范对称性都被破坏的基态,并证明了通过边缘算子,这些状态可以从一个转移到另一个。在特殊情况下,边缘算子被简化为Majorana费米子。这些对称性破缺的基态被证明是稳定的超导平均场哈密顿量,这是相关的Kitaev链与电荷-电荷相互作用。

英文摘要:

We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters. The ground state wave functions with fixed electron numbers are explicitly obtained. We also construct two ground states in which both the spin-rotation and the gauge symmetries are broken, and show that these states are transferred from one to the other by applying the edge operators. The edge operators are reduced to the Majorana fermions in a special case. These symmetry breaking ground states are shown to be stabilized by a superconducting mean field Hamiltonian which is related to the Kitaev chain with the charge-charge interaction.

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