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Equation of state of two-dimensional ~3He at zero temperature

机译：零温度下二维〜3He的状态方程

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We have performed a quantum Monte Carlo study of a two-dimensional bulk sample of interacting 1/2-spin structureless fermions, a model of ~3He adsorbed on a variety of preplated graphite substrates. We have computed the equation of state and the polarization energy using both the standard fixed-node approximate technique with a simple backflow trial function and a formally exact methodology, relying on bosonic imaginary-time correlation functions of operators suitably chosen in order to extract fermionic energies. As the density increases, the fixed-node approximation predicts a transition to an itinerant ferromagnetic fluid, whereas the unbiased methodology indicates that the paramagnetic fluid is the stable phase until crystallization takes place. We find that two-dimensional ~3He at zero temperature crystallizes from the paramagnetic fluid at a density of 0.061 A~(-2) with a narrow coexistence region of 0.002 A~(-2). Remarkably, the spin susceptibility turns out in very good agreement with experiments.
机译：我们已经对相互作用的1/2旋无结构费米子的二维整体样本进行了量子蒙特卡洛研究，该样本是〜3He吸附在各种预镀石墨基底上的模型。我们使用标准的固定节点近似技术（具有简单的回流试验函数）和形式上精确的方法来计算状态方程和极化能，这依赖于为提取铁离子能量而适当选择的算子的玻色虚时相关函数。 。随着密度的增加，固定节点近似值将预测过渡为迭代铁磁流体，而无偏方法论表明顺磁性流体是稳定相，直到发生结晶为止。我们发现，零温度下的二维〜3He从顺磁性流体中以0.061 A〜（-2）的密度和0.002 A〜（-2）的窄共存区域结晶。值得注意的是，自旋敏感性与实验非常吻合。

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  • 来源
    《Physical review》 |2012年第18期|p.184401.1-184401.7|共7页
  • 作者

    M. Nava; A. Motta; D. E. Galli; E. Vitali; S. Moroni;

  • 作者单位

    Dipartimento di Fisica, Universita degli Studi di Milano, via Celoria 16, 20133 Milano, Italy;

    Dipartimento di Fisica, Universita degli Studi di Milano, via Celoria 16, 20133 Milano, Italy;

    Dipartimento di Fisica, Universita degli Studi di Milano, via Celoria 16, 20133 Milano, Italy;

    IOM-CNR DEMOCRITOS National Simulation Center and SISSA, via Bonomea 265, 34136 Trieste, Italy and Dipartimento di Fisica, Universita degli Studi di Milano, via Celoria 16, 20133 Milano, Italy;

    IOM-CNR DEMOCRITOS National Simulation Center and SISSA, via Bonomea 265, 34136 Trieste, Italy;

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