2024-01-172024-01-172021FREIRE, Hermann; MANDAL, Ipsita. Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals. Physics Letters A, Amsterdam, v. 407, e127470, 2021. DOI: 10.1016/j.physleta.2021.127470. Disponível em: https://www.sciencedirect.com/science/article/pii/S0375960121003340?via%3Dihub. Acesso em: 18 set. 2023.0375-9601e- 1873-2429https://www.sciencedirect.com/science/article/pii/S0375960121003340?via%3DihubWe compute the thermoelectric and thermal transport coefficients in the weakly disordered non-Fermi liquid phase of the Luttinger semimetals at zero doping, where the decay rate associated with the (strong) Coulomb interactions is much larger than the electron-impurity scattering rate. To this end, we implement the Mori-Zwanzig memory matrix method, that does not rely on the existence of long-lived quasiparticles in the system. We find that the thermal conductivity at zero electric field scales as κ¯ ∼ T −n (with 0 n 1) at low temperatures, whereas the thermoelectric coefficient has the temperature dependence given by α ∼ T p (with 1/2 p 3/2). These unconventional properties turn out to be key signatures of this long sought-after non-Fermi liquid state in the Luttinger semimetals, which is expected to emerge in strongly correlated spin-orbit coupled materials like the pyrochlore iridates. Finally, our results indicate that these materials might be good candidates for achieving high figure-of-merit for thermoelectric applications.engAcesso RestritoLuttinger semimetalsNon-Fermi liquidTransport propertiesMemory matrix methodThermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetalsArtigo10.1016/j.physleta.2021.127470