Volume 80, Number 5, December 2007
|Number of page(s)||6|
|Published online||31 October 2007|
Non-perturbative renormalization group approach to zero-temperature Bose systems
Laboratoire de Physique Théorique de la Matière Condensée, CNRS - UMR 7600, Université Pierre et Marie Curie 4 Place Jussieu, 75252 Paris Cedex 05, France
2 Laboratoire de Physique des Solides, CNRS - UMR 8502, Université Paris-Sud - 91405 Orsay, France
3 Department of Mathematics, Imperial College - 180 Queen's Gate, London SW7 2AZ, UK
4 TCMP Division, Saha Institute of Nuclear Physics - 1/AF Bidhannagar, Kolkata-700064, India
Accepted: 8 October 2007
We use a non-perturbative renormalization group technique to study interacting bosons at zero temperature. Our approach reveals the instability of the Bogoliubov fixed point when d≤3 and yields the exact infrared behavior in all dimensions d > 1 within a rather simple theoretical framework. It also enables to compute the low-energy properties in terms of the parameters of a microscopic model. In one dimension and for not too strong interactions, it yields a good picture of the Luttinger-liquid behavior of the superfluid phase.
PACS: 05.30.Jp – Boson systems / 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties / 05.10.Cc – Renormalization group methods
© Europhysics Letters Association, 2007
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