Zong F H, Lin C, Ceperley D M
Department of Physics and NCSA, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 2B):036703. doi: 10.1103/PhysRevE.66.036703. Epub 2002 Sep 20.
To determine the state of spin polarization of the three-dimensional electron gas at very low densities and zero temperature, we calculate the energy versus spin polarization using diffusion quantum Monte Carlo methods with backflow wave functions and twist averaged boundary conditions. We find a second-order phase transition to a partially polarized phase at r(s) approximately 50+/-2. The magnetic transition temperature is estimated using an effective mean-field method, the Stoner model.
为了确定极低密度和零温度下三维电子气的自旋极化状态，我们使用具有回流波函数和扭曲平均边界条件的扩散量子蒙特卡罗方法计算能量与自旋极化的关系。我们发现在r(s)约为50±2时发生向部分极化相的二阶相变。使用有效平均场方法——斯托纳模型来估计磁转变温度。
