Volume 74, Number 5, June 2006
|Page(s)||785 - 791|
|Published online||05 May 2006|
1D composite fermions: Bogoliubov-like mode in the Tonks-Girardeau gas
Department of Chemistry and Biochemistry, University of California at Los Angeles Los Angeles, CA, 90095-1569, USA
Accepted: 4 April 2006
We reformulate 1D boson-fermion duality in path-integral terms. The result is a 1D counterpart of the boson-fermion duality in the 2D Chern-Simons gauge theory. The theory is consistent and enables, using standard resummation techniques, to obtain the long-wavelength asymptotics of the collective mode in 1D boson systems at the Tonks-Girardeau regime. The collective mode has the dispersion of Bogoliubov phonons: , where is the bosons density and is a Fourier component of the two-body potential.
PACS: 05.30.Jp – Boson systems / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 71.45.Gm – Exchange, correlation, dielectric and magnetic response functions, plasmons
© EDP Sciences, 2006
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