We determine exactly the fixed point Hamiltonian of the one-dimensional multichannel Kondo-Heisenberg lattice model for any number of channels $N>~2.$ It is found to belong to a new class of non-Fermi-liquid fixed points, different from the usual Luttinger or Luther-Emery liquids. The fixed point describes an anomalous singlet with nontrivial internal dynamics manifesting itself in unconventional order. We compute the correlation functions of the various conventional and composite order parameters of the system, and find that for $N<~4$ the composite order parameters induce the dominant instabilities.We determine exactly the fixed point Hamiltonian of the one-dimensional multichannel Kondo-Heisenberg lattice model for any number of channels $N>~2.$ It is found to belong to a new class of non-Fermi-liquid fixed points, different from the usual Luttinger or Luther-Emery liquids. The fixed point describes an anomalous singlet with nontrivial internal dynamics manifesting itself in unconventional order. We compute the correlation functions of the various conventional and composite order parameters of the system, and find that for $N<~4$ the composite order parameters induce the dominant instabilities.

arXiv:cond-mat/9912372Physical review. B, Condensed matterAug 1, 200014 citations

Low energy Fermi liquid approach for the Kondo problem

Christophe Mora

Jan 1, 20080 citations

Mesoscopic fluctuations in the Fermi-liquid regime of the Kondo problem

Denis Ullmo, Dong E. Liu, Sébastien Burdin +1 more

arXiv:1210.4349The European Physical Journal BAug 1, 20131 citation

On two channel flavor anisotropic and one channel compactified Kondo models

Jinwu Ye

We reinvestigate the two channel flavor anisotropic model (2CFAK) and one channel compacitified Kondo model (1CCK). For these two models, all the possible fixed points and their symmetries are identified; the finite size spectra, the electron conductivity and pairing susceptibility are calculated. It is shown that the only non-fermi liquid (NFL) fixed point of the 2CFAK is the NFL of the two channel Kondo model (2CK) with the symmetry $O(3) \times O(5)$ . Any flavor anisotropies between the two channels drive the system to the fermi-liquid (FL) fixed point with the symmetry $O(4) \times O(4)$ where one of the two channels suffers the phase shift π/2 and the other remains free. The NFL fixed point of the 1CCK has the symmetry $O(3) \times O(1)$ and has the same thermodynamics as the NFL fixed point of the 2CK. However, in contrast to the 2CK, its conductivity shows $T^{2}$ behavior and there is no pairing susceptibility divergence. Any anisotropies between the spin and isospin sectors drive the system to the FL fixed point with the symmetry O(4) where the electrons suffer the phase shift π/2. The connection and differences between the two models are explicitly demonstrated. The recent conjectures and claims on the NFL behaviors of the two models are commented.We reinvestigate the two channel flavor anisotropic model (2CFAK) and one channel compacitified Kondo model (1CCK). For these two models, all the possible fixed points and their symmetries are identified; the finite size spectra, the electron conductivity and pairing susceptibility are calculated. It is shown that the only non-fermi liquid (NFL) fixed point of the 2CFAK is the NFL of the two channel Kondo model (2CK) with the symmetry $O(3) \times O(5)$. Any flavor anisotropies between the two channels drive the system to the fermi-liquid (FL) fixed point with the symmetry $O(4) \times O(4)$ where one of the two channels suffers the phase shift π/2 and the other remains free. The NFL fixed point of the 1CCK has the symmetry $O(3) \times O(1)$ and has the same thermodynamics as the NFL fixed point of the 2CK. However, in contrast to the 2CK, its conductivity shows $T^{2}$ behavior and there is no pairing susceptibility divergence. Any anisotropies between the spin and isospin sectors drive the system to the FL fixed point with the symmetry O(4) where the electrons suffer the phase shift π/2. The connection and differences between the two models are explicitly demonstrated. The recent conjectures and claims on the NFL behaviors of the two models are commented.

arXiv:cond-mat/9609057Nuclear Physics BFeb 1, 19986 citations

Field-Enhanced Kondo Correlations in a Half-Filling Nanotube Dot: Evolution of an SU(N) Fermi-Liquid Fixed Point

徳郎秦, Tokuro Hata

Sep 1, 20160 citations

Ground-State Properties of Extended Two-Channel Kondo Model

Hiroaki Kusunose

Ground-state properties are examined for an extended two-channel Kondo model where the Hilbert space of the localized states is extended to include a singlet state in addition to the doublet states. By means of zero-th order variational wavefunctions with different symmetries, which are associated with the non-Fermi-liquid and the Fermi-liquid ground states, we demonstrate that the channel exchange coupling via the localized singlet state stabilizes the Fermi-liquid wavefunction. The ground-state phase diagrams, which are in qualitative agreement with the previous study performed by Koga and Shiba, are obtained. The comparison to the structure of the resultant wavefunctions suggests that a unique non-Fermi-liquid (Fermi-liquid) fixed point exists, irrespective of the localized ground state.Ground-state properties are examined for an extended two-channel Kondo model where the Hilbert space of the localized states is extended to include a singlet state in addition to the doublet states. By means of zero-th order variational wavefunctions with different symmetries, which are associated with the non-Fermi-liquid and the Fermi-liquid ground states, we demonstrate that the channel exchange coupling via the localized singlet state stabilizes the Fermi-liquid wavefunction. The ground-state phase diagrams, which are in qualitative agreement with the previous study performed by Koga and Shiba, are obtained. The comparison to the structure of the resultant wavefunctions suggests that a unique non-Fermi-liquid (Fermi-liquid) fixed point exists, irrespective of the localized ground state.

arXiv:cond-mat/9709328Journal of the Physical Society of JapanJan 15, 19987 citations

We determine exactly the fixed point Hamiltonian of the one-dimensional multichannel Kondo-Heisenberg lattice model for any number of channels

N>~2.

It is found to belong to a new class of non-Fermi-liquid fixed points, different from the usual Luttinger or Luther-Emery liquids. The fixed point describes an anomalous singlet with nontrivial internal dynamics manifesting itself in unconventional order. We compute the correlation functions of the various conventional and composite order parameters of the system, and find that for

N<~4

the composite order parameters induce the dominant instabilities.

O(3) \times O(5)

. Any flavor anisotropies between the two channels drive the system to the fermi-liquid (FL) fixed point with the symmetry

O(4) \times O(4)

where one of the two channels suffers the phase shift π/2 and the other remains free. The NFL fixed point of the 1CCK has the symmetry

O(3) \times O(1)

and has the same thermodynamics as the NFL fixed point of the 2CK. However, in contrast to the 2CK, its conductivity shows

T^{2}

behavior and there is no pairing susceptibility divergence. Any anisotropies between the spin and isospin sectors drive the system to the FL fixed point with the symmetry O(4) where the electrons suffer the phase shift π/2. The connection and differences between the two models are explicitly demonstrated. The recent conjectures and claims on the NFL behaviors of the two models are commented.