Abstract
We present recent quantum Monte Carlo results for two canonical model Hamiltonians of strongly correlated electrons, the t-J and the Kondo lattice models. Ground state properties on systems sizes up to 24 × 24 are computed numerically. Both models at a particular band filling are correlated insulators. Here, we concentrate on the dynamics of single hole doped into this state. For the t-J model we show that two-leg ladder systems can be well understood from a strong coupling limit along the rungs. In the three-leg ladder system, the low-energy spectrum can be described as an effective chain and an effective two-leg ladder for the symmetric and antisymmetric band, respectively. In the Kondo lattice model competing interactions-the Ruderman-Kittel-Kasuya-Yossida (RKKY) interaction and Kondo effect-lead to a quantum phase transition between ordered and disordered magnetic states. Analysis of the single-hole dispersion relation shows that the RKKY interaction and Kondo effects coexist: impurity spins are partially screened and the remnant magnetic moment orders.
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