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Journal of the Physical Society of Japan

Dynamical Cluster Approximation for Study of Non-Local Correlations in the Periodic Anderson Model (Proceedings of the International Conference on Strongly Correlated Electrons with Orbital Degrees of Freedom(ORBITAL2001))

Yukihiro Shimizu

Published Jan 1, 2002• 0 citations
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Dynamical Cluster Approximation for the Periodic Anderson Model: Competition between Local and Non-local Correlations

Yukihiro Shimizu

The single particle excitation spectrum of the periodic Anderson model in two dimensions is calculated by using the dynamical cluster approximation (DCA). The DCA method is an extention of the dynamical mean field approximation, that is, the short range inter-site correlations are restored by considering the cluster. For the half filling model there is no sharp coherence peak at the Fermi level due to the anti-ferromagnetic Ruderman–Kittel–Kasuya–Yosida (RKKY)-like interaction. When the filling of the conduction electron band is small, there is a sharp coherence peak. It can be explaind that the effect of the RKKY-like interaction is weaker than that for the half filling model or the RKKY-like interaction changes to the ferromagnetic one. For the intermediate filling model the intensity of the coherence peak becomes very small.

Journal of the Physical Society of Japan•Apr 1, 2002•2 citations

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The Effects of Band Dispersion and Interactions on the Excitation Gaps in the Periodic Anderson Model in Infinite Dimensions

Yukihiro Shimizu, Osamu Sakai, Alex C. Hewson

We investigate the inter-play of f-electron band dispersion and inter-f electron interactions on the gap in the one electron density of states (DOS) of the periodic Anderson model. The calculations are based on dynamical mean field theory and the numerical renormalization group method for the model in infinite dimensions. The local f-electron DOS at low energies for the electron-hole symmetric model with interactions is found to have a complete-gap, a pseudo-gap or to be gap-less, whenever these structures occur for the non-interacting model but the parameters that characterize these features are strongly renormalized. As the degree of f-electron dispersion is increased, when there is a complete gap, the many-body renormalization remains almost constant, but in the pseudo-gap case the renormalization increases. We calculate the sizes of gaps both in the local DOS and in the dynamic local susceptibilities. When the gap width is defined by the edges in the spectrum for the complete-gap model, the widths of the indirect gap and the spin gap are equal, independent of the degree of electron correlation. However, if the width is defined as the excitation energy between the peaks in the spectrum, then the ratio of the indirect gap to the spin gap increases and eventually saturates as the correlation increases. The value of this ratio depends on the f-electron band dispersion. We have also investigated the dependence of the shape of the interacting DOS on the f-band filling for different forms of f-band dispersion. When the f-band dispersion is small, the gap structure in the symmetric model vanishes as the filling factor decreases. When the model, including the dispersion, has no gap structure, the filling dependence on the DOS in low energies is similar to that for a single impurity Anderson model. The energy dispersion of the quasi-particle in the range, ε f < ε < ε f + U , is approximately explained by the renormalized band model in the cases of both large and small f-band dispersion.

Journal of the Physical Society of Japan•Jun 15, 2000•14 citations

The Dynamical Cluster Approximation: A New Technique for Simulations of Strongly Correlated Electron Systems

S. Moukouri, Carey Huscroft, Mark Jarrell

arXiv:cond-mat/0004279•Springer proceedings in physics•Jan 1, 2001•0 citations
The single particle excitation spectrum of the periodic Anderson model in two dimensions is calculated by using the dynamical cluster approximation (DCA). The DCA method is an extention of the dynamical mean field approximation, that is, the short range inter-site correlations are restored by considering the cluster. For the half filling model there is no sharp coherence peak at the Fermi level due to the anti-ferromagnetic Ruderman–Kittel–Kasuya–Yosida (RKKY)-like interaction. When the filling of the conduction electron band is small, there is a sharp coherence peak. It can be explaind that the effect of the RKKY-like interaction is weaker than that for the half filling model or the RKKY-like interaction changes to the ferromagnetic one. For the intermediate filling model the intensity of the coherence peak becomes very small.
We investigate the inter-play of f-electron band dispersion and inter-f electron interactions on the gap in the one electron density of states (DOS) of the periodic Anderson model. The calculations are based on dynamical mean field theory and the numerical renormalization group method for the model in infinite dimensions. The local f-electron DOS at low energies for the electron-hole symmetric model with interactions is found to have a complete-gap, a pseudo-gap or to be gap-less, whenever these structures occur for the non-interacting model but the parameters that characterize these features are strongly renormalized. As the degree of f-electron dispersion is increased, when there is a complete gap, the many-body renormalization remains almost constant, but in the pseudo-gap case the renormalization increases. We calculate the sizes of gaps both in the local DOS and in the dynamic local susceptibilities. When the gap width is defined by the edges in the spectrum for the complete-gap model, the widths of the indirect gap and the spin gap are equal, independent of the degree of electron correlation. However, if the width is defined as the excitation energy between the peaks in the spectrum, then the ratio of the indirect gap to the spin gap increases and eventually saturates as the correlation increases. The value of this ratio depends on the f-electron band dispersion. We have also investigated the dependence of the shape of the interacting DOS on the f-band filling for different forms of f-band dispersion. When the f-band dispersion is small, the gap structure in the symmetric model vanishes as the filling factor decreases. When the model, including the dispersion, has no gap structure, the filling dependence on the DOS in low energies is similar to that for a single impurity Anderson model. The energy dispersion of the quasi-particle in the range, ε f < ε < ε f + U , is approximately explained by the renormalized band model in the cases of both large and small f-band dispersion.