Dependence of structure factor and correlation energy on the width of electron wires

Abstract

The structure factor and correlation energy of a quantum wire of thickness $b\ll a_B$ are studied in random phase approximation and for the less investigated region $r_s<1$. Using the single-loop approximation, analytical expressions of the structure factor have been obtained. The exact expressions for the exchange energy are also derived for a cylindrical and harmonic wire. The correlation energy ${\epsilon }_c$ is found to be represented by ${\epsilon }_c(b,r_s)=\frac{\alpha (r_s)}{b}+\beta (r_s)ln(b)+\eta (r_s)$, for small $b$ and high densities. For a pragmatic width of the wire, the correlation energy is in agreement with the quantum Monte Carlo simulation data.

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References in corpus (7)

• Continuum variational and diffusion quantum Monte Carlo calculations
• New Model System for a One-Dimensional Electron Liquid: Self-Organized Atomic Gold Chains on Ge(001)
• Ground-state energy of the electron liquid in ultrathin wires
• Ground state properties of the one-dimensional electron liquid
• Correlation effects in quasi one dimensional electron wires
• Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions
• Short-range correlations and spin-mode velocities in ultrathin one-dimensional conductors

Cited by in corpus (6)

• One-dimensional electron fluid at high density
• Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density
• Ground-state properties of electron-electron biwire systems
• Exact ground-state properties of one-dimensional electron gas at high density
• Wire width and density dependence of the crossover in the peak of the static structure factor from $2k_{\text{F}}$ $\to$ $4k_{\text{F}}$ in one-dimensional paramagnetic electron gases
• Electronic quantum wires in extended quasiparticle picture