Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet

Details Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet

2003-02-27

arxiv.org/abs/cond-mat/0302564v1

Phys.Rev. E67 (2003) 065101

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevE.67.065101

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.

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