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Influence of the Kondo effect in a non-Fermi liquid system

Karyn Le Hur

The Kondo effect in a Tomonaga-Luttinger liquid ($U<

arXiv:cond-mat/9802298Feb 27, 19980 citations

Correlation exponent Kρ of the one-dimensional Kondo lattice model

J. C. Xavier, E. Miranda

We present results for the correlation exponent ${K}_{\ensuremath{\rho}}$ of the Tomonaga-Luttinger liquid description of the one-dimensional Kondo lattice as a function of conduction-electron density and coupling constant. ${K}_{\ensuremath{\rho}}$ is obtained from the first derivative of the Fourier transform of the charge-charge correlation function. We also show that the spin correlation function can only be described in this picture if we include logarithmic corrections, a feature that had been previously overlooked. A consistent description of both charge and spin sectors is then obtained. Finally, we show evidence that the spin sector of the dimerized phase at quarter-filling is gapless.We present results for the correlation exponent ${K}_{\ensuremath{\rho}}$ of the Tomonaga-Luttinger liquid description of the one-dimensional Kondo lattice as a function of conduction-electron density and coupling constant. ${K}_{\ensuremath{\rho}}$ is obtained from the first derivative of the Fourier transform of the charge-charge correlation function. We also show that the spin correlation function can only be described in this picture if we include logarithmic corrections, a feature that had been previously overlooked. A consistent description of both charge and spin sectors is then obtained. Finally, we show evidence that the spin sector of the dimerized phase at quarter-filling is gapless.

arXiv:cond-mat/0304585Physical Review BAug 25, 20049 citations

Tomonaga-Luttinger liquid aspects of one-dimensional Bose systems

光行得能

Jan 1, 20080 citations

Two-channel Kondo effect in a Luttinger liquid

Mats Granath, Henrik Johannesson

Zeitschrift für Physik B Condensed MatterJun 1, 19963 citations

Correlation exponent Kr of the one-dimensional Kondo lattice model

J. C. Xavier, E. Miranda

We present results for the correlation exponent Kr of the Tomonaga-Luttinger liquid description of the one-dimensional Kondo lattice as a function of conduction-electron density and coupling constant. Kr is obtained from the first derivative of the Fourier transform of the charge-charge correlation function. We also show that the spin correlation function can only be described in this picture if we include logarithmic corrections, a feature that had been previously overlooked. A consistent description of both charge and spin sectors is then obtained. Finally, we show evidence that the spin sector of the dimerized phase at quarter-filling is gapless.We present results for the correlation exponent Kr of the Tomonaga-Luttinger liquid description of the one-dimensional Kondo lattice as a function of conduction-electron density and coupling constant. Kr is obtained from the first derivative of the Fourier transform of the charge-charge correlation function. We also show that the spin correlation function can only be described in this picture if we include logarithmic corrections, a feature that had been previously overlooked. A consistent description of both charge and spin sectors is then obtained. Finally, we show evidence that the spin sector of the dimerized phase at quarter-filling is gapless.

Jan 1, 20040 citations

Ground-state phase diagram of the one-dimensional dimerized t−J model at quarter filling

Satoshi Nishimoto, Y. Ohta

The ground state of the one-dimensional dimerized $t\ensuremath{-}J$ model at quarter filling is studied by a Lanczos exact-diagonalization technique on small clusters. We calculate the charge gap, spin gap, binding energy, Tomonaga-Luttinger-liquid parameter, Drude weight, anomalous flux quantization, etc. We thereby show that the two types of dimerization, i.e., a dimerization of hopping integral and a dimerization of exchange interaction play a mutually competing role in controlling the ground state of the system and this leads to the emergence of various phases including the Mott insulating, Tomonaga-Luttinger-liquid, and spin-gap-liquid phases. The ground-state phase diagram of the model is given on the parameter space of the dimerizations.The ground state of the one-dimensional dimerized $t\ensuremath{-}J$ model at quarter filling is studied by a Lanczos exact-diagonalization technique on small clusters. We calculate the charge gap, spin gap, binding energy, Tomonaga-Luttinger-liquid parameter, Drude weight, anomalous flux quantization, etc. We thereby show that the two types of dimerization, i.e., a dimerization of hopping integral and a dimerization of exchange interaction play a mutually competing role in controlling the ground state of the system and this leads to the emergence of various phases including the Mott insulating, Tomonaga-Luttinger-liquid, and spin-gap-liquid phases. The ground-state phase diagram of the model is given on the parameter space of the dimerizations.

arXiv:cond-mat/9805280Physical review. B, Condensed matterFeb 15, 19998 citations

Absence of dimer order and the Tomonaga–Luttinger liquid properties of the quarter-filled one-dimensional Kondo-lattice model

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Absence of dimer order and the Tomonaga–Luttinger liquid properties of the quarter-filled one-dimensional Kondo-lattice model

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