Institute of Science and Engineering, Kanazawa University = 金沢大学
抄録
We demonstrate how to compute the correlation function by using the tensor renormalization group for 2D Ising model. From the correlation function around the critical temperature, we extract the correlation length and the spontaneous magnetization and then determine some critical exponents. Attractive feature of our method to extract the critical exponents is that numerical derivative, that causes a loss of significant digits, and additional simulation parameters, that demand more computational cost and complicated analysis, are not required. On the other hand, our approach requires an additional treatment of impurity tensors, but the additional cost is still tolerable.
Computation of correlation functions by tensor renormalization group method
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Sci_Rep_60-002.pdf
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