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Field theoretical approach to spin models |
Feng Liu1,2, Zhenhao Fan1,2, Zhipeng Sun1,2, Xuzong Chen3, Dingping Li1,2( ) |
1. School of Physics, Peking University, Beijing 100871, China
2. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
3. School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China |
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Abstract We developed a systematic non-perturbative method base on Dyson–Schwinger theory and the Φ-derivable theory for Ising model at broken phase. Based on these methods, we obtain critical temperature and spin spin correlation beyond mean field theory. The spectrum of Green function obtained from our methods become gapless at critical point, so the susceptibility become divergent at Tc. The critical temperature of Ising model obtained from this method is fairly good in comparison with other non-cluster methods. It is straightforward to extend this method to more complicate spin models for example with continue symmetry.
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| Keywords
Ising model
mean field theory
Dyson–Schwinger equations
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Corresponding Author(s):
Dingping Li
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Issue Date: 18 June 2021
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