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arXiv:cond-mat/9904247 · Philosophical Magazine Letters

Precursor of non-Fermi liquid behaviour in the one-dimensional periodic Anderson model with disorder

Feng Chen, Nicholas Kioussis

Published Aug 1, 1999• 0 citations
arXivHTMLPDF

Abstract

We have studied the one-dimensional periodic, symmetric Anderson model at half filling in the presence of disorder using finite-temperature quantum Monte Carlo techniques. We have examined for the first time the disorder both in hybridization between the local f-orbitals and the conduction electrons and in the local f-site energy, using a uniform distribution of width . The f-orbital local magnetic moment, the uniform magnetic susceptibility, the charge compressibility, and the nearest-neighbour magnetic correlation function have been calculated as a function of the disorder distribution width . We find that the disorder in hybridization has a dramatic effect on the low-temperature magnetic properties exhibiting a non-Fermi-liquid behaviour, and that for the range of temperature studied the magnetic susceptibility can be scaled by a power law with an exponent that is in agreement with recent experiments. On the other hand, disorder in the local f-orbital energy level does not show a nonFermi liquid behaviour.

DOI
10.1080/095008399176977

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We have studied the effects of random-hopping matrix elements and random potentials on the properties of the one-dimensional Hubbard model. Using a quantum Monte Carlo technique, disorder-averaged static spin- and charge-density susceptiblities have been evaluated for various strengths of the disorder. Results for the spin susceptibility at wave number q=2kF{\mathit{k}}_{\mathit{F}}kF​ indicate that this quantity, which is the fastest diverging susceptibility of the pure system, diverges as T\ensuremath{\rightarrow}0 also when there is randomness in the hopping matrix elements, but not in the presence of random potentials. Both types of disorder cause a divergence of the uniform magnetic susceptibility. However, for random potentials a finite critical strength of the disorder appears to be required. At half-filling the transition from Mott (gapped) to Anderson (gapless) insulating behavior has been studied. A critical disorder strength is needed to destroy the gap, in agreement with Ma's renormalization group calculations.