Title: Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet Show Chinese title

Title: 自旋-1/2海森堡反铁磁模型的第三近邻关联函数

Abstract: We exactly evaluate the third neighbor correlator <S_j^z S_{j+3}^z> and all the possible non-zero correlators <S^{alpha}_j S^{beta}_{j+1} S^{gamma}_{j+2} S^{delta}_{j+3}> of the spin-1/2 Heisenberg $XXX$ antiferromagnet in the ground state without magnetic field. All the correlators are expressed in terms of certain combinations of logarithm ln2, the Riemann zeta function zeta(3), zeta(5) with rational coefficients. The results accurately coincide with the numerical ones obtained by the density-matrix renormalization group method and the numerical diagonalization. Show Chinese abstract

Abstract: 我们精确计算了自旋-1/2 Heisenberg $XXX$ 反铁磁模型在零磁场基态下的三阶最近邻关联函数 <S_j^z S_{j+3}^z> 和所有可能的非零关联函数 <S^{α}_j S^{β}_{j+1} S^{伽马}_{j+2} S^{delta}_{j+3}>。 所有关联函数均以对数 ln2、黎曼ζ函数 ζ(3)、ζ(5) 的特定组合形式表示，系数为有理数。 结果与密度矩阵重正化群方法和数值对角化得到的数值结果精确一致。