Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals

Abstract

We compute the thermoelectric and thermal transport 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 $\bar{\kappa }\sim T^{-n}$ (with $0\lesssim n\lesssim 1)$ at low temperatures, whereas the thermoelectric coefficient has the temperature dependence given by $\alpha \sim T^p$ (with $1/2\lesssim p\lesssim 3/2)$. 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.

typos fixed; Corrigendum to the published article: Physics Letters A 433, 128005 (2022)

References in corpus (24)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Quantum critical transport in clean graphene
• Thermoelectric properties of Weyl and Dirac semimetals
• Quantum-critical relativistic magnetotransport in graphene
• Memory matrix theory of magnetotransport in strange metals
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• Quasi-Local Strange Metal
• A controlled expansion for certain non-Fermi liquid metals
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Pairing in half-filled Landau level
• UV/IR Mixing In Non-Fermi Liquids: Higher-Loop Corrections In Different Energy Ranges
• Critical Fermi surfaces in generic dimensions arising from transverse gauge field interactions
• Magnetic and transport properties in pyrochlore iridates (Y${}_{1-x}$Pr${}_x$)${}_2$Ir${}_2$O${}_7$: The role of $f$-$d$ exchange interaction and $d$-$p$ orbital hybridization
• Tunneling in Fermi Systems with Quadratic Band Crossing Points
• Low frequency Raman response near Ising-nematic quantum critical point: a memory matrix approach
• Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a $U(1)$ gauge field
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder

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