二维全极化均匀电子气Hartree-Fock phase diagram中的金属-绝缘体相变
Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions
摘要：
在Hartree-Fock近似下，我们用数值方法确定了二维全极化电子气的基态，而不对解施加任何特殊的对称性.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$\sim 2.7$），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%。我们分析证明，这种导电状态与破缺的平移对称性具有较低的能量比均匀的费米气体状态在高密度区引起的金属到绝缘体的转变。
英文摘要：
We determine numerically 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 $\sim 2.7$) we obtain a ground state of different symmetry: the charge density forms a triangular lattice with about 11% more sites than electrons. We prove analytically that this conducting state with broken translational symmetry has lower energy than the uniform Fermi gas state in the high density region giving rise to a metal to insulator transition.
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