Abstract

The following article provides a thorough examination of the electronic band structure observed in heavy fermion compounds, which are a type of material that has received considerable interest within the realm of condensed matter physics. The compounds under consideration exhibit significantly high charge carrier masses, which give rise to intriguing electronic phenomena when subjected to low temperatures. Through the analysis of electronic band structures, valuable insights can be obtained regarding the distinctive characteristics displayed by these captivating materials. The research centers on the distinctive attributes and theoretical frameworks employed to elucidate the electronic properties of the subjects under investigation. In this study, we present an introduction to heavy fermions and their experimental manifestations, including the observation of enhanced specific heat and low-temperature resistivity. The present study delves into the theoretical examination of the Kondo effect, which involves the emergence of heavy quasi-particles resulting from the hybridization process between localized f-electrons and conduction electrons. This paper examines the utilization of band structure calculations and various spectroscopic techniques, including angle-resolved photoemission spectroscopy (ARPES), inelastic neutron scattering, and transport measurements. The experimental results demonstrate the presence of hybridization gaps, the characteristics of the Fermi surface topology, and the occurrence of spin fluctuations. This study investigates the effects of crystal symmetry, spin-orbit coupling, and external perturbations on the electronic band structure. Specifically, it explores how these factors influence hybridization strength, Fermi surface topology, and quantum phase transitions. The abstract provides a concise overview of the existing knowledge, acknowledges the obstacles encountered, and proposes potential avenues for further investigation. The significance of this research lies in its ability to elucidate the fundamental principles of heavy fermion compounds, as well as explore their potential practical implications.

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