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Linear and Nonlinear Optical Responses of Chiral Multifold Semimetals (Hardcover, 1st ed. 2023)
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Linear and Nonlinear Optical Responses of Chiral Multifold Semimetals (Hardcover, 1st ed. 2023)
Series: Springer Theses
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Since the initial predictions for the existence of Weyl fermions in
condensed matter, many different experimental techniques have
confirmed the existence of Weyl semimetals. Among these techniques,
optical responses have shown a variety of effects associated with
the existence of Weyl fermions. In chiral crystals, we find a new
type of fermions protected by crystal symmetries — the chiral
multifold fermions — that can be understood as a higher-spin
generalization of Weyl fermions. This work provides a complete
description of all chiral multifold fermions, studying their
topological properties and the k·p models describing them. We
compute the optical conductivity of all chiral multifold fermions
and establish their optical selection rules. We find that the
activation frequencies are different for each type of multifold
fermion, thus constituting an experimental fingerprint for each
type of multifold fermion. Building on the theoretical results
obtained in the first part of our analysis, we study two chiral
multifold semimetals: RhSi and CoSi. We analyze the experimental
results with k·p and tight-binding models based on the crystal
symmetries of the material. We trace back the features observed in
the experimental optical conductivity to the existence of multifold
fermions near the Fermi level and estimate the chemical potential
and the scattering lifetime in both materials. Finally, we provide
an overview of second-order optical responses and study the
second-harmonic generation of RhSi. We find a sizeable
second-harmonic response in the low-energy regime associated with
optical transitions between topological bands. However, this regime
is extremely challenging to access with the current experimental
techniques. We conclude by providing an overview of the main
results, highlighting potential avenues to further research on
chiral multifold semimetals and the future of optical responses as
experimental probes to characterize topological phases.
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