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 current progress in computing transport properties in semimetals that exhibit non-Fermi liquid (NFL) phases. The authors introduce two main approaches: the Kubo formalism and the memory matrix formalism. The Kubo formalism is widely used for describing transport properties in systems with a well-defined Fermi surface, but it is limited by the assumption of long-lived quasiparticles, which are absent in NFLs. The memory matrix formalism, on the other hand, is based on an effective hydrodynamic description and does not rely on the existence of quasiparticles, making it suitable for strongly interacting systems. The review focuses on applying these methods to the Luttinger-Abrikosov-Benlevskii phase of isotropic three-dimensional Luttinger semimetals, which arises under long-range Coulomb interactions and a tuned chemical potential. The authors compute various transport coefficients, including electrical conductivity, thermal and thermoelectric response, Raman response, free energy, entropy density, and shear viscosity. They also discuss the scaling behavior of these coefficients at finite frequencies and temperatures, highlighting the differences between the Kubo formalism and the memory matrix technique in different regimes.This review discusses the current progress in computing transport properties in semimetals that exhibit non-Fermi liquid (NFL) phases. The authors introduce two main approaches: the Kubo formalism and the memory matrix formalism. The Kubo formalism is widely used for describing transport properties in systems with a well-defined Fermi surface, but it is limited by the assumption of long-lived quasiparticles, which are absent in NFLs. The memory matrix formalism, on the other hand, is based on an effective hydrodynamic description and does not rely on the existence of quasiparticles, making it suitable for strongly interacting systems. The review focuses on applying these methods to the Luttinger-Abrikosov-Benlevskii phase of isotropic three-dimensional Luttinger semimetals, which arises under long-range Coulomb interactions and a tuned chemical potential. The authors compute various transport coefficients, including electrical conductivity, thermal and thermoelectric response, Raman response, free energy, entropy density, and shear viscosity. They also discuss the scaling behavior of these coefficients at finite frequencies and temperatures, highlighting the differences between the Kubo formalism and the memory matrix technique in different regimes.
Reach us at info@study.space
[slides and audio] Transport properties in non-Fermi liquid phases of nodal-point semimetals.