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Phys. Rev. B 76, 092502 (2007) [3 pages]

Condensate superfluidity and infrared structure of the single-particle Green’s function: The Josephson relation

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Markus Holzmann1,2,3 and Gordon Baym3
1LPTMC, Université Pierre et Marie Curie, 4 Place Jussieu, 75005 Paris, France
2LPMMC, CNRS-UJF, BP 166, 38042 Grenoble, France
3Department of Physics, University of Illinois, 1110 West Green Street, Urbana, Illinois 61801, USA

Received 28 March 2007; revised 2 July 2007; published 21 September 2007

We derive the Josephson relation in a superfluid between the condensate density, the superfluid mass density, and the infrared structure of the single-particle Green’s function by means of diagrammatic perturbation theory. The derivation is valid for finite systems and two dimensions.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.76.092502
DOI:
10.1103/PhysRevB.76.092502
PACS:
05.30.Jp, 03.75.Hh