Non-perturbative renormalization-group approach to zero-temperature Bose systems

Details Non-perturbative renormalization-group approach to zero-temperature Bose systems Non-perturbative renormalization-group approach to zero-temperature Bose systems

2007-09-04

arxiv.org/abs/0709.0362v3

Europhys. Lett. 80, 50007 (2007)

Physics

Condensed Matter

Other Condensed Matter

v1) 6 pages, 8 figures; v2) added references; v3) corrected typos

Scientific paper

10.1209/0295-5075/80/50007

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 $d\leq 3$ 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.

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