Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-01-29
Phys. Rev. Lett. 102, 190401 (2009)
Physics
Condensed Matter
Other Condensed Matter
v2) 4 pages, 4 figures v3) Revised title + minor changes
Scientific paper
10.1103/PhysRevLett.102.190401
Using a non-perturbative renormalization-group technique, we compute the momentum and frequency dependence of the anomalous self-energy and the one-particle spectral function of two-dimensional interacting bosons at zero temperature. Below a characteristic momentum scale $k_G$, where the Bogoliubov approximation breaks down, the anomalous self-energy develops a square root singularity and the Goldstone mode of the superfluid phase (Bogoliubov sound mode) coexists with a continuum of excitations, in agreement with the predictions of Popov's hydrodynamic theory. Thus our results provide a unified picture of superfluidity in interacting boson systems and connect Bogoliubov's theory (valid for momenta larger than $k_G$) to Popov's hydrodynamic approach.
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