二维全极化均匀电子气的Hartree-Fock解的金属-绝缘体相变
Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions
摘要：
我们确定的基态的二维，完全极化的电子气的Hartree-Fock近似内没有强加任何特定的对称性的解决方案。在低电子密度下，维格纳晶体溶液是稳定的，但对于更高的密度（$r_s$小于$\sim 3$），我们得到不同对称性的基态：电荷密度形成三角形晶格，其位置比电子多11%。我们认为，这种导电状态与破坏平移对称性仍然是基态的高密度区域的热力学极限引起的金属到绝缘体的过渡。
英文摘要：
We determine the ground state of the two-dimensional, fully polarized electron gas within the Hartree-Fock approximation without imposing any particular symmetries on the solutions. At low electronic densities, the Wigner crystal solution is stable, but for higher densities ($r_s$ less than $\sim 3$) we obtain a ground state of different symmetry: the charge density forms a triangular lattice with about 11% more sites than electrons. We argue that this conducting state with broken translational symmetry remains the ground state of the high density region in the thermodynamic limit giving rise to a metal to insulator transition.
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