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Phys. Rev. B 72, 075322 (2005) [10 pages]

Wigner crystallization in inhomogeneous one-dimensional wires

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Erich J. Mueller
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA

Received 29 October 2004; revised 22 April 2005; published 8 August 2005

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 wave function 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 wave function together with pronounced sharpening (in energy) of the tunneling spectrum.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.72.075322
DOI:
10.1103/PhysRevB.72.075322
PACS:
73.21.Hb, 71.10.Pm, 73.23.Hk, 71.10.Hf