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      Drude and Superfluid Weights in Extended Systems: The Role of Discontinuities and δ-Peaks in the One-and Two-Body Momentum Densities

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      Author(s)
      Hetenyi, B.
      Date
      2012-01-05
      Source Title
      Journal of the Physical Society of Japan
      Print ISSN
      0031-9015
      Electronic ISSN
      1347-4073
      Publisher
      Institute of Pure and Applied Physics
      Volume
      81
      Issue
      2
      Pages
      023701-1 - 023701-4
      Language
      English
      Type
      Article
      Item Usage Stats
      127
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      Abstract
      The question of conductivity is revisited. Using the total momentum shift operator to construct the perturbed many-body Hamiltonian and ground state wave function the second derivative of the ground state energy with respect to the perturbing field is expressed in terms of the one and two-body momentum densities. The distinction between the adiabatic and envelope function derivatives, hence that between the Drude and superfluid weights, can be introduced in a straightforward manner. It is shown that a discontinuity in the momentum density leads to a contribution to the Drude weight, but not the superfluid weight, however a delta-function contribution in the two-body momentum density (such as in the BCS wave-funtion) contributes to both quantities. The connection between the discontinuity in the momentum density and localization is also demonstrated.
      Keywords
      Linear response
      Dc conductivity
      Superfluid weight
      Permalink
      http://hdl.handle.net/11693/12327
      Published Version (Please cite this version)
      http://dx.doi.org/10.1143/JPSJ.81.023701
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