Ground-state energy of the electron liquid in ultrathin wires

Abstract

The ground-state energy and the density correlation function of the electron liquid in a thin one-dimensional wire are computed. The calculation is based on an approximate mapping of the problem with a realistic Coulomb interaction law onto exactly solvable models of mathematical physics. This approach becomes asymptotically exact in the limit of small wire radius but remains numerically accurate even for modestly thin wires.

(v3) Replaced with the published version. 4 pages, 1 figure

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