CRITICAL-BEHAVIOR OF TOMONAGA-LUTTINGER LIQUIDS WITH A MOBILE IMPURITY

Citation
Y. Tsukamoto et al., CRITICAL-BEHAVIOR OF TOMONAGA-LUTTINGER LIQUIDS WITH A MOBILE IMPURITY, Physical review. B, Condensed matter, 58(7), 1998, pp. 3633-3640
Citations number
29
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
0163-1829
Volume
58
Issue
7
Year of publication
1998
Pages
3633 - 3640
Database
ISI
SICI code
0163-1829(1998)58:7<3633:COTLWA>2.0.ZU;2-W
Abstract
The critical properties of Tomonaga-Luttinger liquids including a mobi le impurity are studied by means of the Bethe ansatz method, conformal field theory (CFT), and bosonization. We calculate conformal dimensio ns by performing the CFT analysis of the energy spectrum for an integr able impurity model, and show that this system is classified as c = 1 shifted Gaussian CFT. The exact critical exponents of various correlat ion functions are obtained as functions of the impurity mass and its m omentum. Passing to the continuum limit, we then construct an effectiv e held theory in terms of bosonization, and directly calculate some co rrelation functions. A possible application to the Fermi-edge singular ity in quantum wires is also discussed.