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arXiv 2011.02625cond-mat.str-el
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自旋1/2链中基态和元激发的矩阵积波函数

Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain

Jintae Kim, Minsoo Kim, Pramod Padmanabhan, Jung Hoon Han, Hyun-Yong Lee

摘要:

本文提出了自旋为1/2的海森堡模型的基态的变分矩阵乘积态(vMPS)。MPS有效地组织了各种二聚体构型,忠实地反映了自旋液体的共振价键(RVB)图像,能量仅比Bethe anterior给出的精确值高0.024%。在基态vMPS的基础上,以一种简单的方式构造了单自旋波函数,其色散与精确的光谱很好地匹配。将vMPS格式应用于海森堡模型和Majumdar-Ghosh模型之间的哈密尔顿外推族。

英文摘要:

We present a variational matrix product state (vMPS) for the ground state of the spin-1/2 Heisenberg model. The MPS effectively organizes the various dimer configurations, in faithful reflection of the resonating valence bond (RVB) picture of the spin liquid, with the energy only 0.024% higher than the exact value given by Bethe ansatz. Building on the ground-state vMPS, the one-spin wave function is constructed in a simple manner with the dispersion that matches well with the exact spectrum. The vMPS scheme is applied to the family of Hamiltonian extrapolating between the Heisenberg model and the Majumdar-Ghosh model.

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