Single-particle spectral functions for heavy fermion surface-systems and coupled one-dimensional nanowires

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Kondo insulators arise when the heavy fermion band, dynamically generated by the screening of local moments, is fully occupied. Since spin-orbit coupling alongside correlation effects is dominant in these compounds, the conjecture that this correlated state of matter can be a realization of a topological insulator has been put forward. In particular, SmB6 is a possible candidate. One fundamental question, of practical relevance, is the temperature dependence of the single particle spectral functions on topologies with edges. We will address this question by solving numerically exactly a model where the topological Kondo insulating state is realized. Progress in the experimental observation of heavy fermion physics hinges on realistic model calculations. We will pursue our collaborative effort on Ce based heavy fermion systems and further develop our LDA+DMFT (NCA) approach for Ce based heavy fermions. A longer term aim is to generalize these approaches to tackle ions with more than one f-electron such as Sm. The ability to tailor arrays of nano-wires opens a new playground to study the physics of the dimensional crossover both triggered by charge fluctuations between the one-dimensional conductors. Models describing this dimensional crossover will be studied in the framework of the chain-DMFT approach which is an appropriate tool to capture the one dimensional fluctuations. The dimensional driven transition from the Luttinger liquid to the Fermi liquid as well as the dimensional driven Mott transition will be studied.