Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-10-29
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 10 figures, RevTeX4: v2. Revised+Expanded
Scientific paper
10.1103/PhysRevB.72.075322
We explore the theory of electrons confined by one dimensional power law potentials. We calculate the density profile in the high density electron gas, the low density Wigner crystal, and the intermediate regime. We extract the momentum space wavefunction of the electron at the Fermi surface, which can be measured in experiments on tunneling between parallel wires. The onset of localization leads to a dramatic broadening of the momentum space wavefunction together with pronounced sharpening (in energy) of the tunneling spectrum.
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