Classical Investigation of Frustrated and Dimerized Heisenberg Chains

Details Classical Investigation of Frustrated and Dimerized Heisenberg Chains Classical Investigation of Frustrated and Dimerized Heisenberg Chains

2012-04-07

arxiv.org/abs/1204.1593v2

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 6 figures. arXiv admin note: text overlap with arXiv:1201.2030

Scientific paper

We have considered the 1D dimerized frustrated antiferromagnetic (ferromagnetic) Heisenberg model with arbitrary spin $S$. The exact classical magnetic phase diagram at zero temperature is determined using the LK cluster method. Cluster method results, show that the classical ground state phase diagram of the model is very rich including first and second-order phase transitions. In the absence of the dimerization, a second-order phase transition occurs between antiferromagnetic (ferromagnetic) and spiral phases at the critical frustration $\alpha_c=\pm 0.25$. In the vicinity of the critical points $\alpha_c$, the exact classical critical exponent of the spiral order parameter is found 1/2. In the case of dimerized chain ($\delta\neq0$), the spiral order shows stability and exists in some part of the ground state phase diagram. We have found two first-order critical lines in the ground state phase diagram. These critical lines separate the antiferromagnetic from spiral phase.

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