TY - JOUR

T1 - The one-dimensional Kondo lattice model studied by the density matrix renormalization group method

AU - Shibata, Naokazu

AU - Ueda, Kazuo

N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002165842&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002165842&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/11/2/002

DO - 10.1088/0953-8984/11/2/002

M3 - Review article

AN - SCOPUS:0002165842

VL - 11

SP - R1-R30

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 2

ER -