| Variational Corner Transfer Matrix Renormalization Group Method for Classical Statistical Models |
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| 作者姓名： | 刘雪飞 付阳峰 于伟强 余继锋 谢志远 |
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| 作者单位： | 1. Department of Physics, Renmin University of China;2. School of Physics and Electronics, Hunan University |
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| 基金项目： | supported by the National R&D Program of China (Grant No. 2017YFA0302900)；;the National Natural Science Foundation of China (Grant Nos. 11774420 and 12134020)；;the Natural Science Foundation of Hunan Province (Grant No. 851204035)； |
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| 摘 要： | In the context of tensor network states, we for the first time reformulate the corner transfer matrix renormalization group(CTMRG) method into a variational bilevel optimization algorithm. The solution of the optimization problem corresponds to the fixed-point environment pursued in the conventional CTMRG method, from which the partition function of a classical statistical model, represented by an infinite tensor network, can be efficiently evaluated. The validity of this variational idea is dem...
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