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arXiv · 1810.07463

Ring frustration and factorizable correlation functions of critical spin rings

Peng Li·Yan He
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Abstract

Basing on the exactly solvable prototypical model, the critical transverse Ising ring with or without ring frustration, we establish the concept of nonlocality in a many-body system in the thermodynamic limit by defining the nonlocal factors embedded in its factorizable correlation functions. In the context of nonlocality, the valuable traditional finite-size scaling analysis is reappraised. The factorizable correlation functions of the isotropic $XY$ and the spin-1/2 Heisenberg models are also demonstrated with the emphasis on the effect of ring frustration.

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Peng Li, Yan He. 2018-10-17. Ring frustration and factorizable correlation functions of critical spin rings. https://doi.org/10.1103/physreve.99.032135

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