Transport properties in non-Fermi liquid phases of nodal-point semimetals

Transport properties in non-Fermi liquid phases of nodal-point semimetals

26 Aug 2024 | Ipsita Mandal, Hermann Freire
This review discusses the transport properties of non-Fermi liquid (NFL) phases in nodal-point semimetals, focusing on two main methodologies: the Kubo formalism and the memory matrix approach. The Kubo formalism is applied to compute transport properties at low temperatures, such as optical conductivity, while the memory matrix approach is used for finite-temperature regimes, including DC conductivity and thermoelectric response. These methods are particularly suited for strongly-interacting quantum field theories where quasiparticles do not exist. The review applies these approaches to the Luttinger-Abrikosov-Benelavskii (LAB) phase of isotropic three-dimensional Luttinger semimetals, which arises from long-ranged Coulomb interactions and a tuned chemical potential. The LAB phase is characterized by a stable non-Fermi liquid fixed point, and the review calculates various transport properties, including electric conductivity, thermal and thermoelectric response, Raman response, free energy, entropy density, and shear viscosity. The review highlights the importance of these methodologies in understanding the unique transport behavior of NFL phases in strongly-correlated quantum materials.This review discusses the transport properties of non-Fermi liquid (NFL) phases in nodal-point semimetals, focusing on two main methodologies: the Kubo formalism and the memory matrix approach. The Kubo formalism is applied to compute transport properties at low temperatures, such as optical conductivity, while the memory matrix approach is used for finite-temperature regimes, including DC conductivity and thermoelectric response. These methods are particularly suited for strongly-interacting quantum field theories where quasiparticles do not exist. The review applies these approaches to the Luttinger-Abrikosov-Benelavskii (LAB) phase of isotropic three-dimensional Luttinger semimetals, which arises from long-ranged Coulomb interactions and a tuned chemical potential. The LAB phase is characterized by a stable non-Fermi liquid fixed point, and the review calculates various transport properties, including electric conductivity, thermal and thermoelectric response, Raman response, free energy, entropy density, and shear viscosity. The review highlights the importance of these methodologies in understanding the unique transport behavior of NFL phases in strongly-correlated quantum materials.
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