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Institute
In this thesis, we investigate aspects of the physics of heavy-fermion systems and correlated topological insulators.
We numerically solve the interacting Hamiltonians that model the physical systems using quantum Monte Carlo algorithms
to access both ground-state and finite-temperature observables.
Initially, we focus on the metamagnetic transition in the Kondo lattice model for heavy fermions.
On the basis of the dynamical mean-field theory and the dynamical cluster approximation,
our calculations point towards a continuous transition, where the signatures of metamagnetism are linked to a Lifshitz transition of heavy-fermion bands.
In the second part of the thesis, we study various aspects of magnetic pi fluxes in the Kane-Mele-Hubbard model of a correlated topological insulator.
We describe a numerical measurement of the topological index, based on the localized mid-gap states that are provided by pi flux insertions.
Furthermore, we take advantage of the intrinsic spin degree of freedom of a pi flux to devise instances of interacting quantum spin systems.
In the third part of the thesis, we introduce and characterize the Kane-Mele-Hubbard model on the pi flux honeycomb lattice.
We place particular emphasis on the correlations effects along the one-dimensional boundary of the lattice and
compare results from a bosonization study with finite-size quantum Monte Carlo simulations.