| Issue |
Europhys. Lett.
Volume 74, Number 5, June 2006
|
|
|---|---|---|
| Page(s) | 785 - 791 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2006-10034-8 | |
| 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
Received:
24
February
2006
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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