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

Abstract

In this review, we survey the current progress in computing transport properties in semimetals which harbour non-Fermi liquid phases. We first discuss the widely-used Kubo formalism, which can be applied to the effective theory describing the stable non-Fermi liquid phase obtained via a renormalization group procedure and, hence, is applicable for temperatures close to zero (e.g., optical conductivity). For finite-temperature regimes, which apply to the computations of the generalized DC conductivity tensors, we elucidate the memory matrix approach. This approach is based on an effective hydrodynamic description of the system, and is especially suited for tackling transport calculations in strongly-interacting quantum field theories, because it does not rely on the existence of long-lived quasiparticles. As a concrete example, we apply these two approaches to find the response of the so-called Luttinger-Abrikosov-Benelavskii phase of isotropic three-dimensional Luttinger semimetals, which arises under the effects of long-ranged (unscreened) Coulomb interactions, with the chemical potential fine-tuned to cut exactly the nodal point. In particular, we focus on the electric conductivity tensors, thermal and thermoelectric response, Raman response, free energy, entropy density, and shear viscosity.

typos fixed; contains results obtained in arXiv:2012.07866, arXiv:2104.07459, and arXiv:2201.04045

References in corpus (64)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Inelastic Light Scattering From Correlated Electrons
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• 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
• Are non-Fermi-liquids stable to Cooper pairing?
• Theory of a continuous Mott transition in two dimensions
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Viscosity and scale invariance in the unitary Fermi gas
• Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
• Topological Mott insulator in three-dimensional systems with quadratic band touching
• Impure AdS/CFT
• Incoherent transport across the strange metal regime of highly overdoped cuprates
• Memory matrix theory of magnetotransport in strange metals
• Universal theory of strange metals from spatially random interactions
• Strong charge fluctuations manifested in the high-temperature Hall coefficient of high-T_c cuprates
• Nernst effect in semi-metals: the meritorious heaviness of electrons
• Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• 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
• Phase diagram of electronic systems with quadratic Fermi nodes in $2<d<4$: $2+\epsilon$ expansion, $4-\epsilon$ expansion, and functional renormalization group
• Magnus Nernst and thermal Hall effect
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Pseudospin 3/2 Fermions, Type-II Weyl Semimetals and Critical Weyl Semimetals in Tricolor Cubic Lattice
• Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
• Robust Marginal Fermi Liquid In Birefringent Semimetals
• Magnus Hall effect in three-dimensional topological semimetals
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Pairing in half-filled Landau level
• UV/IR Mixing In Non-Fermi Liquids: Higher-Loop Corrections In Different Energy Ranges
• Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals
• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• Thermoelectric response in nodal-point semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
• 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
• Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
• Robust quantum transport at particle-hole symmetry
• Instabilities of a birefringent semi-metal
• Giant anomalous thermal Hall effect in tilted type-I magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and non-Fermi liquid to Fermi liquid crossover
• Zero sound and plasmon modes for non-Fermi liquids
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Low frequency Raman response near Ising-nematic quantum critical point: a memory matrix approach
• Hydrodynamic transport in the Luttinger-Abrikosov-Beneslavskii non-Fermi liquid
• 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
• Strange metal from incoherent bosons
• Anatomy of plasmons in generic Luttinger semimetals
• Generic deformation channels for critical Fermi surfaces in the collisionless regime
• Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation
• Incoherent transport in a model for the strange metal phase: Memory-matrix formalism
• Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
• Soft-Chemical Synthesis, Structure Evolution, and Insulator-to-Metal Transition in a Prototypical Metal Oxide, λ-RhO${}_2$
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study

Cited by in corpus (7)

• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Chiral anomaly and internode scatterings in multifold semimetals
• Linear response of tilted anisotropic two-dimensional Dirac cones
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Quantum transport in strongly correlated Fermi gases
• Exact analysis of the interplay of charge order and unconventional pairings in the 2D Hatsugai-Kohmoto model