In this paper we study the exact solution of a one-dimensional model of spin-$\frac{1}{2}$ electrons composed by a nearest-neighbor triplet pairing term and the on-site Hubbard interaction. We argue that this model admits a Bethe ansatz solution through a mapping to a Hubbard chain with imaginary kinetic hopping terms. The Bethe equations are similar to that found by Lieb and Wu [3] but with additional twist phases which are dependent on the ring size. We have studied the spectrum of the model with repulsive interaction by exact diagonalization and through the Bethe equations for large lattice sizes. One feature of the model is that it is possible to define the charge gap for even and odd lattice sites and both converge to the same value in the infinite size limit. We analyze the finite-size corrections to the low-lying spin excitations and argue that they are equivalent to that of the spin-$\frac{1}{2}$ isotropic Heisenberg model with a boundary twist depending on the lattice parity. We present the classical statistical mechanics model whose transfer matrix commutes with the model Hamiltonian. To this end we have used the construction employed by Shastry [6], [7] for the Hubbard model. In our case, however, the building block is a free-fermion eight-vertex model with a particular null weight.

在本文中，我们研究了自旋一维模型的精确解$\frac{\mathrm{1个}}{2}$由最邻近的三重态配对项和现场哈伯德相互作用组成的电子。我们认为，该模型通过映射到具有虚构动力学跳变项的Hubbard链来接受Bethe ansatz解。Bethe方程与Lieb和Wu [3]所发现的方程相似，但其附加的扭转相位取决于环的尺寸。我们已经通过精确的对角线化和针对大晶格尺寸的Bethe方程研究了具有排斥相互作用的模型的光谱。该模型的一个特征是可以为偶数和奇数晶格位点定义电荷间隙，并且在无穷大的尺寸限制下都收敛到相同的值。我们分析了低层自旋激发的有限大小校正，并认为它们等同于自旋激发。$\frac{\mathrm{1个}}{2}$各向同性的海森堡模型，其边界扭曲取决于晶格奇偶性。我们提出了经典的统计力学模型，该模型的传递矩阵与模型哈密顿量交换。为此，我们将Shastry [6]，[7]所采用的构造用于Hubbard模型。但是，在我们的案例中，构造块是具有特定零权重的自由费密八顶点模型。