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J. Phys. Soc. Jpn. 81 (2012) 023701 (4 pages)  |Previous Article| |Next Article|  |Table of Contents|
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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

Balázs Hetényi1,2,3

1Institute for Theoretical Physics, Graz University of Technology, A-8010 Graz, Austria
2Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
3Department of Physics, Bilkent University, 06800 Bilkent, Ankara, Turkey

(Received July 12, 2011; Revised October 11, 2011; Accepted November 22, 2011; Published January 5, 2012)

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 δ-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. ©2012 The Physical Society of Japan

URL: http://jpsj.ipap.jp/link?JPSJ/81/023701/
DOI: 10.1143/JPSJ.81.023701


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