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SUMMARY:'Luttinger liquid theory' of one-dimensional quantum fluids. I. Pr
 operties of the Luttinger model and their extension to the general 1D inte
 racting spinless Fermi gas - Richard Brierley (University of Cambridge)
DTSTART:20091023T150000Z
DTEND:20091023T153000Z
UID:TALK20672@talks.cam.ac.uk
CONTACT:Daniel Cole
DESCRIPTION:"'Luttinger liquid theory' of one-dimensional quantum fluids":
 http://dx.doi.org/10.1088/0022-3719/14/19/010 \n\nThe explicitly soluble L
 uttinger model is used as a basis for the\ndescription of the general inte
 racting Fermi gas in one dimension\,\nwhich will be called 'Luttinger liqu
 id theory'\, by analogy with Fermi\nliquid theory. The excitation spectrum
  of the Luttinger model is\ndescribed by density-wave\, charge and current
  excitations\; its\nspectral properties determine a characteristic paramet
 er that controls\nthe correlation function exponents. These relations are 
 shown to\nsurvive in non-soluble generalisations of the model with a non-l
 inear\nfermion dispersion. It is proposed that this low-energy structure i
 s\nuniversal to a wide class of 1D systems with conducting or fluid\nprope
 rties\, including spin chains.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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