Numerical simulations of dimensional-crossover- and frustration-driven phenomena in correlated electron systems -- renewal proposal

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Building on the results from the first funding period, we intend to further study the impact of dimensionality and frustration on the emergent phenomena in quantum spin and correlated electron systems. The ability to manipulate magnetic adatoms on metallic surfaces opens up new avenues to design and explore Kondo nanosystems. Specifically, we shall address the feasibility of generating features inherent to the Kondo lattice limit --- heavy-fermion metallicity and partial Kondo screening, induced either by a regular depletion of the impurity sites or classical frustration. Another experimentally relevant question concerns the nature of a magnetic order-disorder transition in layered Kondo heterostructures. Our next goal is to elucidate the relevance of Berry phases and their impact on the quantum phase transition in SU(N) quantum antiferromagnets with a variable number of layers. As an interesting novel research direction we will investigate if and how the exotic local excitations of the two-channel Kondo model, i.e., a Majorana mode, can acquire dispersion upon dimensional crossover. For all the above research projects, we will use unbiased numerical techniques based on the auxiliary field quantum Monte Carlo (QMC) algorithm at finite and zero temperature and/or the continuous-time QMC method.