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https://hdl.handle.net/2142/80586
Description
Title
Correlation in the One Dimensional Electron Gas
Author(s)
Shulenburger, Luke Nathan
Issue Date
2008
Doctoral Committee Chair(s)
Martin, Richard M.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Fluid and Plasma
Language
eng
Abstract
Our calculations are quantitatively exact which allows us to compare with recent experiments [Steinberg et al., Phys. Rev. B 77, 113307 (2006)], by introducing an accurate model for the screening in the experiment and explicitly including the finite length of the sample in our simulations. We find that decreasing the electron density drives the system from a liquid to a state with rather strong 4kF correlations. This crossover takes place around 22 microm-1, near the density where the electron localization occurs in the experiment. The charge and spin velocities determined from the long wavelength excitation spectra are also in good agreement with the experimental findings. We argue that correlation effects play an important role at the onset of the localization transition.
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