Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity

TL;DR

This study investigates how quasiperiodic lattice structures influence valence fluctuations and magnetic properties in the extended Anderson model using advanced computational methods.

Contribution

It introduces a detailed analysis of valence fluctuations on a quasiperiodic Penrose lattice with real-space dynamical mean-field theory and Monte Carlo simulations.

Findings

Site-dependent singlet state formation

Valence distribution influenced by quasiperiodicity

Bulk magnetic susceptibility behavior

Abstract

We study valence fluctuations in the extended Anderson model on two-dimensional Penrose lattice, using the real-space dynamical mean-field theory combined with the continuous-time Monte Carlo method. Calculating $f$-electron number, $c$-$f$ spin correlations, and magnetic susceptibility at each site, we find site-dependent formations of the singlet state and valence distribution at low temperatures, which are reflected by the quasiperiodic lattice structure. The bulk magnetic susceptibility is also addressed.