The one-dimensional Kondo lattice model studied by the density matrix renormalization group method

Naokazu Shibata, Kazuo Ueda

Research output: Contribution to journalReview article

64 Citations (Scopus)

Abstract

Recent developments in the theoretical investigation of the one-dimensional Kondo lattice model by using the density matrix renormalization group (DMRG) method are discussed in this review Short summaries are given of the zero-temperature DMRG method, the finite-temperature DMRG method, and also the application of the finite-T DMRG to dynamic quantities. Away from half-filling, the paramagnetic metallic state is shown to be a Tomonaga-Luttinger liquid with a large Fermi surface. The size of the large Fermi surface is determined by the sum of the densities of the conduction electrons and the localized spins. The correlation exponent Kp of this metallic phase is smaller than 1/2. At half-filling the ground state is insulating The excitation gaps are different, depending on the channels, the spin gap, the charge gap and the quasiparticle gap. The temperature dependence of the spin and charge susceptibilities and the specific heat are discussed. Particularly interesting is the temperature dependence of various excitation spectra, which indicates unusual properties for the Kondo insulators.

Original languageEnglish
Pages (from-to)R1-R30
JournalJournal of Physics Condensed Matter
Volume11
Issue number2
DOIs
Publication statusPublished - 1999 Dec 1
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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