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      Current response in extended systems as a geometric phase: Application to variational wavefunctions

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      Author
      Hetényi, B.
      Date
      2012
      Source Title
      Journal of the Physical Society of Japan
      Print ISSN
      0031-9015
      Electronic ISSN
      1347-4073
      Publisher
      Journal of the Physical Society of the Japan
      Volume
      81
      Issue
      12
      Pages
      124711-1 - 124711-5
      Language
      English
      Type
      Article
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      Abstract
      The linear response theory for current is investigated in a variational context. Expressions are derived for the Drude and superfluid weights for general variational wavefunctions. The expression for the Drude weight highlights the difficulty in its calculation since it depends on the exact energy eigenvalues which are usually not available in practice. While the Drude weight is not available in a simple form, the linear current response is shown to be expressible in terms of a geometric phase, or alternatively in terms of the expectation value of the total position shift operator. The contribution of the geometric phase to the current response is then analyzed for some commonly used projected variational wavefunctions (Baeriswyl, Gutzwiller, and combined). It is demonstrated that this contribution is independent of the projectors themselves and is determined by the wavefunctions onto which the projectors are applied.
      Keywords
      DC conductivity
      Geometric phase
      Superfluid weight
      Permalink
      http://hdl.handle.net/11693/21217
      Published Version (Please cite this version)
      http://dx.doi.org/10.1143/JPSJ.81.124711
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