Study of twodimensional electron systems in the renormalizedringdiagram approximation.pdfVIP

Study of two-dimensional electron systems in the renormalized-ring-diagram approximation Xin-Zhong Yan1,2, and C. S. Ting1 1 Texas Center for Superconductivity, University of Houston, Houston, TX 77204 2Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100080, China (Dated: February 6, 2008) 6 With a super-high-efficient numerical algorithm, we are able to self-consistently calculate the 0 Green’s function in the renormalized-ring-diagram approximation for a two-dimensional electron 0 system with long-range Coulomb interactions. The obtained ground-state energy is found to be in 2 excellent agreement with that of the Monte Carlo simulation. The numerical results of the self- t energy, the effective mass, the distribution function, and the renormalization factor of the Green’s c function for the coupling constants in the range 0 ≤rs ≤30 are also presented. O PACS numbers: 71.10.Ca, 73.20.Mf, 71.18.+y, 02.70.Hm 9 ] l Two-dimensional electron systems (2DES) with long- T embedded in an uniform neutralizing background of e - range Coulomb interactions, realized in the semiconduc- positive charge. Through out this paper, we will use r tor heterostructures and inversion layers [1], continuously the units in which ¯h = kB = m = a = 1 (with m the t s attract a lot of attentions despite it has been studied for mass of the electron, and a the Wigner-Seitz radius of . t more than three decades.