Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet
Sakai, Kazumitsu ; Shiroishi, Masahiro ; Nishiyama, Yoshihiro ; Takahashi, Minoru
arXiv, 0302564 / Harvested from arXiv
Text on arXiv
We exactly evaluate the third neighbor correlator and all the possible non-zero correlators 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.
Publié le : 2003-02-26
Classification:  Condensed Matter - Statistical Mechanics,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Quantum Algebra,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0302564,
     author = {Sakai, Kazumitsu and Shiroishi, Masahiro and Nishiyama, Yoshihiro and Takahashi, Minoru},
     title = {Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0302564}
}

Sakai, Kazumitsu; Shiroishi, Masahiro; Nishiyama, Yoshihiro; Takahashi, Minoru. Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0302564/