论文标题

用蜂窝状角转移矩阵对张量 - 网络状态的变分优化

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

论文作者

Lukin, I. V., Sotnikov, A. G.

论文摘要

我们开发了一种在蜂窝晶格上无限投影纠缠状态的变分优化的方法。该方法基于蜂窝状角转移矩阵重新归一化组的自动分化。我们将方法应用于蜂窝状晶格上的抗铁磁性海森贝格旋转1/2和铁磁Kitaev模型。开发的形式主义为主要物理可观察物提供了定量准确的结果,并且具有进一步扩展的必要潜力。

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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