PT - JOURNAL ARTICLE
AU - Imambekov, Adilet
AU - Glazman, Leonid I.
TI - Universal Theory of Nonlinear Luttinger Liquids
AID - 10.1126/science.1165403
DP - 2009 Jan 09
TA - Science
PG - 228--231
VI - 323
IP - 5911
4099 - http://science.sciencemag.org/content/323/5911/228.short
4100 - http://science.sciencemag.org/content/323/5911/228.full
SO - Science2009 Jan 09; 323
AB - 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.