The paramagnetic metallic phase of the one-dimensional Kondo lattice model is studied by the density matrix renormalization group method. We observe charge and spin Friedel oscillations. They reflect the long- range charge-charge and spin-spin correlation functions. The observed oscillations are consistent with a Tomonaga-Luttinger liquid. From the period of the oscillations it is concluded that the Fermi surface is large, including both the conduction electrons and the localized spins, ${\mathit{k}}_{\mathit{F}}$ =\ensuremath{\pi}(1+ ${\mathit{n}}_{\mathit{c}}$ )/2, where ${\mathit{n}}_{\mathit{c}}$ is the density of conduction electrons. \textcopyright{} 1996 The American Physical Society.The paramagnetic metallic phase of the one-dimensional Kondo lattice model is studied by the density matrix renormalization group method. We observe charge and spin Friedel oscillations. They reflect the long- range charge-charge and spin-spin correlation functions. The observed oscillations are consistent with a Tomonaga-Luttinger liquid. From the period of the oscillations it is concluded that the Fermi surface is large, including both the conduction electrons and the localized spins, ${\mathit{k}}_{\mathit{F}}$=\ensuremath{\pi}(1+${\mathit{n}}_{\mathit{c}}$)/2, where ${\mathit{n}}_{\mathit{c}}$ is the density of conduction electrons. \textcopyright{} 1996 The American Physical Society.

arXiv:cond-mat/9608118Physical review. B, Condensed matterNov 15, 199645 citations

Friedel oscillations in a two dimensional Fermi liquid

Gabriele F. Giuliani, George Simion

Solid State CommunicationsAug 8, 20038 citations

Local distortions and Friedel oscillations in interacting Fermi chains

Cosima Schuster, Philipp Brune

Abstract The interplay between disorder and interaction, especially near metal insulator transitions, is a long‐standing question. We investigate in detail single impurities, in particular, the Friedel oscillations induced by them. We study the decay of the Friedel oscillations in the one‐dimensional Heisenberg and Hubbard model analytically using the bosonization technique and numerically using the density matrix renormalization group treatment (DMRG). For the Heisenberg chain, we confirm the predictions of conformal field theory and bosonization for small interaction, but near phase transitions deviations are found in form of vanishing or additional oscillations. For the Hubbard chain, we study the oscillations – in the density as well as in the magnetization – in the spin‐gap, charge‐gap, and Luttinger liquid phase. We find an exponential decay or a very slow algebraic decay of the oscillations in the gapped phases. In the Luttinger liquid phase, we concentrate on the question of logarithmic corrections (which occur also in the isotropic Heisenberg antiferromagnet). Differences in the behavior near a boundary compared to an impurity are pointed out. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)Abstract The interplay between disorder and interaction, especially near metal insulator transitions, is a long‐standing question. We investigate in detail single impurities, in particular, the Friedel oscillations induced by them. We study the decay of the Friedel oscillations in the one‐dimensional Heisenberg and Hubbard model analytically using the bosonization technique and numerically using the density matrix renormalization group treatment (DMRG). For the Heisenberg chain, we confirm the predictions of conformal field theory and bosonization for small interaction, but near phase transitions deviations are found in form of vanishing or additional oscillations. For the Hubbard chain, we study the oscillations – in the density as well as in the magnetization – in the spin‐gap, charge‐gap, and Luttinger liquid phase. We find an exponential decay or a very slow algebraic decay of the oscillations in the gapped phases. In the Luttinger liquid phase, we concentrate on the question of logarithmic corrections (which occur also in the isotropic Heisenberg antiferromagnet). Differences in the behavior near a boundary compared to an impurity are pointed out. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

physica status solidi (b)Jun 22, 20043 citations

{\mathit{k}}_{\mathit{F}}

=\ensuremath{\pi}(1+

{\mathit{n}}_{\mathit{c}}

)/2, where

{\mathit{n}}_{\mathit{c}}

is the density of conduction electrons. \textcopyright{} 1996 The American Physical Society.