Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Universal theory of monlinear Luttinger liquids
AU - Imambekov, Adilet
AU - Glazman, Leonid
PY - 2009/1/9
Y1 - 2009/1/9
N2 - 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.
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.
KW - strongly interacting systems
UR - http://www.scopus.com/inward/record.url?scp=58149377654&partnerID=8YFLogxK
U2 - 10.1126/science.1165403
DO - 10.1126/science.1165403
M3 - Journal article
AN - SCOPUS:58149377654
VL - 323
SP - 228
EP - 231
JO - Science
JF - Science
SN - 0036-8075
IS - 5911
ER -