Towards the Mott Transition in One Dimension

Michiyasu Mori, Hidetoshi Fukuyama, Masatoshi Imada

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The spectrum of charge excitations, ImN(qt ω) has been evaluated near the Mott transition in the one-dimensional Hubbard model with a particular value of the Coulomb interaction. The present theory based on a continuum limit describes the smooth change between the Tomonaga-Luttinger liquid state with a q-linear mode and the Mott insulator with a charge gap, by considering Umklapp scattering. The charge susceptibility is seen to diverge proportional to the inverse of the doping rate as the Mott insulator state is approached, in agreement with Bethe-ansatz result. It is shown that the q region where the renormalization group theory and conformal field theory are valid becomes vanishingly small as the transition is approached.

Original languageEnglish
Pages (from-to)1639-1642
Number of pages4
JournalJournal of the Physical Society of Japan
Issue number5
Publication statusPublished - 1994 Jan 1
Externally publishedYes



  • compressibility
  • Drude weight
  • Mott transition
  • sine-Gordon equation
  • spinless Fermion
  • Tomonaga-Luttinger liquid
  • Umklapp scattering

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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