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Physical review. B, Condensed matter

Comment on ‘‘Gutzwiller approximation in the Fermi hypernetted-chain theory’’

X. Q. G. Wang

Published Dec 15, 1995• 0 citations
Publisher

Abstract

The ``local-field approximation'' Fermi hyperneted-chain scheme is regarded by Wang and Campbell [Phys. Rev. B 47, 15 984 (1993)] to be equivalent to the Gutzwiller approximation, i.e., to be exact in the infinite dimensional case. We point out that their conclusion is not valid.
DOI
10.1103/physrevb.52.16933

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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.