Comment on ``Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation''

Details Comment on ``Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation'' Comment on ``Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation''

2001-05-20

arxiv.org/abs/cond-mat/0105385v1

Phys. Rev. Lett. 86 (2001) 4708

Physics

Condensed Matter

Statistical Mechanics

Revtex, 2 pages

Scientific paper

10.1103/PhysRevLett.86.4708

This is a comment on the work of Kolomeisky et al., Phys. Rev. Lett. 85, 1146 (2000). We point out that they are using the wrong form of the energy functional for one-dimensional fermions. We point out two possible forms of the energy functional, both of which can be derived from first principles but using different methods. One is obtained from the collective field theory method, while the other is derived from the extended Thomas-Fermi method. These two forms of the energy functional do not support the soliton solutions which are obtained by Kolomeisky et al.

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