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Originally published in Science Express on 27 November 2008
Science 9 January 2009:
Vol. 323. no. 5911, pp. 228 - 231
DOI: 10.1126/science.1165403
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Reports

Universal Theory of Nonlinear Luttinger Liquids

Adilet Imambekov and Leonid I. Glazman*

One-dimensional quantum fluids are conventionally described by using an effective hydrodynamic approach known as Luttinger liquid theory. As the principal simplification, a generic spectrum of the constituent particles is replaced by a linear one, which leads to a linear hydrodynamic theory. We show that to describe the measurable dynamic response functions one needs to take into account the nonlinearity of the generic spectrum and thus of the resulting quantum hydrodynamic theory. This nonlinearity leads, for example, to a qualitative change in the behavior of the spectral function. The universal theory developed in this article is applicable to a wide class of one-dimensional fermionic, bosonic, and spin systems.

Department of Physics, Yale University, New Haven, CT 06520, USA.

* To whom correspondence should be addressed. E-mail: Leonid.Glazman{at}yale.edu

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THIS ARTICLE HAS BEEN CITED BY OTHER ARTICLES:
Probing Spin-Charge Separation in a Tomonaga-Luttinger Liquid.
Y. Jompol, C. J. B. Ford, J. P. Griffiths, I. Farrer, G. A. C. Jones, D. Anderson, D. A. Ritchie, T. W. Silk, and A. J. Schofield (2009)
Science 325, 597-601
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