A novel universal relation in the critical temperature of quasi-one-dimensional magnets is investigated by the cluster Monte Carlo method. It is found that in the weak interchain coupling regime the critical temperature obeys a chain mean-field like relation with a reduced effective coordination number [1,2]. Furthermore, the renormalized coordination number is universal, i.e. independent of spin size. This universality is rigorously proved for the case of Ising anisotropy by considering a mapping to the quantum Ising model.
[1] C. Yasuda, S. Todo, K. Hukushima, F. Alet, M. Keller, M. Troyer, and H. Takayama, Phys. Rev. Lett. 94, 217201 (2005).
[2] S. Todo, cond-mat/0606790. |
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