Wigner Crystallization in inhomogeneous one dimensional wires

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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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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