Exact asymptotic correlation functions of bilinear spin operators of the 
Heisenberg antiferromagnetic spin-1/2 chain

Vekua, T.; Sun, G. Y.

doi:10.1103/PhysRevB.94.014417

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Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-1/2 chain

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Sun, G. Y.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.014417
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Citation

Vekua, T., & Sun, G. Y. (2016). Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-1/2 chain. Physical Review B, 94(1): 014417. doi:10.1103/PhysRevB.94.014417.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-19FC-F

Abstract

Exact asymptotic expressions of the uniform parts of the two-point correlation functions of bilinear spin operators in the Heisenberg antiferromagnetic spin-1/2 chain are obtained. Apart from the algebraic decay, the logarithmic contribution is identified, and the numerical prefactor is determined. We also confirm numerically the multiplicative logarithmic correction of the staggered part of the bilinear spin operators << S-0(a) S-1(a) S-r(b) S-r+1(b)>> = (-1)(r)d/(r ln(3/2) r) + (3 delta(a,b) -1) ln(2) r/(12 pi(4)r(4)), and estimate the numerical prefactor as d similar or equal to 0.067. The relevance of our results for ground-state fidelity susceptibility at the Berezinskii-Kosterlitz-Thouless quantum phase transition points in one-dimensional systems is discussed at the end of our work.