One-dimensional electron fluid at high density

Abstract

We calculate the ground-state energy, pair correlation function, static structure factor, and momentum density of the one-dimensional electron fluid at high density using variational quantum Monte Carlo simulation. For an infinitely thin cylindrical wire the predicted correlation energy is found to fit nicely with a quadratic function of coupling parameter $r_s$. The extracted exponent $\alpha$ of the momentum density for $k\sim k_F$ is used to determine the Tomonaga-Luttinger parameter $K_{\rho }$ as a function of $r_s$ in the high-density regime for the first time. We find that the simulated static structure factor and pair correlation function for infinitely thin wires agree with our recent high-density theory [K. Morawetz et al., Phys. Rev. B 97, 155147 (2018)].

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Cited by in corpus (6)

• 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
• Ground state correlations in the one-dimensional Fermi one-component plasma
• Electronic quantum wires in extended quasiparticle picture