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We apply the higher-order tensor renormalization group (HOTRG) to the four-dimensional ferromagnetic Ising model, which has been attracting interests in the context of the triviality of the scalar $\phi^4_{d=4}$ theory.
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M. Levin and C. P. Nave, Tensor renormalization group approach to two-dimensional classical lattice models , Phys. Rev. Lett. 99
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P. H. Lundow and K. Markström, Critical behavior of the Ising model on the four-dimensional cubic lattice , Phys. Rev. E 80
2009
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Z.-C. Gu and X.-G. Wen, Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order , Phys. Rev. B 80
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2011
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Y. Shimizu, Tensor renormalization group approach to a lattice boson model , Mod. Phys. Lett. A27
2012
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2016
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2016
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Y. Shimizu, Analysis of the (1+1)-dimensional lattice ϕ 4 \phi^{4} model using the tensor renormalization group , Chin. J. Phys. 50
2012
Cited alongside, same era.
Z. Y. Xie, J. Chen, M. P. Qin, J. W. Zhu, L. P. Yang and T. Xiang, Coarse-graining renormalization by higher-order singular value decomposition , Phys. Rev. B 86
2012
Cited alongside, same era.
2013
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M.-P. Qin, J. Chen, Q.-N. Chen, Z.-Y. Xie, X. Kong, H.-H. Zhao et al., Partial Order in Potts Models on the Generalized Decorated Square Lattice , Chinese Physics Letters 30
2013
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2014
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2014
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2014
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2016
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2016
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R. Sakai and S. Takeda, Tensor renormalization group approach to higher dimensional fermions , PoS LATTICE2016
2016
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2017
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2017
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2017
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2018
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R. Krcmar, J. Genzor, Y. Lee, H. Čenčariková, T. Nishino and A. Gendiar, Tensor-network study of a quantum phase transition on the Sierpiński fractal , Phys. Rev. E 98
2018
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2019
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