Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix

I. V. Lukin; A. G. Sotnikov

doi:10.1103/physrevb.107.054424

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arXiv · 2209.03428

Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix

I. V. Lukin·A. G. Sotnikov

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Abstract

We develop a method of variational optimization of the infinite projected entangled pair states on the honeycomb lattice. The method is based on the automatic differentiation of the honeycomb-lattice corner transfer matrix renormalization group. We apply the approach to the antiferromagnetic Heisenberg spin-1/2 and ferromagnetic Kitaev models on the honeycomb lattice. The developed formalism gives quantitatively accurate results for the main physical observables and has a necessary potential for further extensions.

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I. V. Lukin, A. G. Sotnikov. 2022-09-07. Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix. https://doi.org/10.1103/physrevb.107.054424

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