Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2002-06-20
Phys. Rev. Lett. 94, 056405 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
(v3) Replaced with the published version. 4 pages, 1 figure
Scientific paper
10.1103/PhysRevLett.94.056405
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.
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