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- W2788775243 abstract "It is shown that in $d$-dimensional systems, the vertex corrections beyond the random phase approximation (RPA) or GW approximation scales with the power $d-beta-alpha$ of the Fermi momentum if the relation between Fermi energy and Fermi momentum is $epsilon_{rm f}sim p_{rm f}^beta$ and the interacting potential possesses a momentum-power-law of $sim p^{-alpha}$. The condition $d-beta-alpha<0$ specifies systems where RPA is exact in the high-density limit. The one-dimensional structure factor is found to be the interaction-free one in the high-density limit for contact interaction. A cancellation of RPA and vertex corrections render this result valid up to second-order in contact interaction. For finite-range potentials of cylindrical wires a large-scale cancellation appears and found to be independent of the width parameter of the wire. The proposed high-density expansion agrees with the Quantum Monte Carlo simulations." @default.
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- W2788775243 date "2018-02-28" @default.
- W2788775243 modified "2023-09-27" @default.
- W2788775243 title "Conditions where RPA becomes exact in the high-density limit" @default.
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