Anomalous non-additive dispersion interactions in systems of three one-dimensional wires

Abstract

The non-additive dispersion contribution to the binding energy of three one-dimensional (1D) wires is investigated using wires modelled by (i) chains of hydrogen atoms and (ii) homogeneous electron gases. We demonstrate that the non-additive dispersion contribution to the binding energy is significantly enhanced compared with that expected from Axilrod-Teller-Muto-type triple-dipole summations and follows a different power-law decay with separation. The triwire non-additive dispersion for 1D electron gases scales according to the power law $d^{-\beta }$, where $d$ is the wire separation, with exponents $\beta (r_s)$ smaller than 3 and slightly increasing with $r_s$ from 2.4 at $r_s=1$ to 2.9 at $r_s=10$, where $r_s$ is the density parameter of the 1D electron gas. This is in good agreement with the exponent $\beta =3$ suggested by the leading-order charge-flow contribution to the triwire non-additivity, and is a significantly slower decay than the $\sim d^{-7}$ behaviour that would be expected from triple-dipole summations.

10 pages, 8 figures, 1 table

References in corpus (8)

• Continuum variational and diffusion quantum Monte Carlo calculations
• Jastrow correlation factor for atoms, molecules, and solids
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• Dispersion interactions between semiconducting wires
• Heavy-tailed random error in quantum Monte Carlo
• Ground state properties of the one-dimensional electron liquid
• van der Waals Interactions Between Thin Metallic Wires and Layers
• Optimum and efficient sampling for variational quantum Monte Carlo

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