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摘要翻译：
以S=1/2Heisenberg反铁磁体为例，讨论了价键基量子自旋模型的投影蒙特卡罗方法。它的单重态基态可以从任意基态投影出来作为试态，但用一个好的变分态可以得到更快的收敛。作为首先进行耗时的变分蒙特卡罗计算的替代方案，我们证明了在模拟过程中可以以迭代的方式产生一个非常好的试验状态。我们还展示了价键基的性质如何能够计算用Sz本征态的标准基难以获得的量。特别地，我们讨论了三重态扇区中涉及有限动量态的量，如色散关系和最低三重态的谱权重。
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英文标题：
《Monte Carlo Simulations of Quantum Spin Systems in the Valence Bond
Basis》
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作者：
A. W. Sandvik and K. S. D. Beach
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We discuss a projector Monte Carlo method for quantum spin models formulated in the valence bond basis, using the S=1/2 Heisenberg antiferromagnet as an example. Its singlet ground state can be projected out of an arbitrary basis state as the trial state, but a more rapid convergence can be obtained using a good variational state. As an alternative to first carrying out a time consuming variational Monte Carlo calculation, we show that a very good trial state can be generated in an iterative fashion in the course of the simulation itself. We also show how the properties of the valence bond basis enable calculations of quantities that are difficult to obtain with the standard basis of Sz eigenstates. In particular, we discuss quantities involving finite-momentum states in the triplet sector, such as the dispersion relation and the spectral weight of the lowest triplet.
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PDF链接：
https://arxiv.org/pdf/704.1469
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