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arXiv · 1411.2839

The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks

You Quan Chong·Valentin Murg·Vladimir Korepin·Frank Verstraete
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Abstract

We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by graded algebraic Bethe ansatz. We use it to design graded tensor networks which can be contracted approximately to obtain a Matrix Product State. As a proof of principle, we calculate observables of ground states and excited states of finite lattices up to $18$ lattice sites.

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You Quan Chong, Valentin Murg, Vladimir Korepin, Frank Verstraete. 2014-11-11. The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks. https://doi.org/10.1103/physrevb.91.195132

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