Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation

Abstract

We calculate the thermal and thermoelectric transport coefficients for a two-dimensional spin-density-wave metal in the presence of weak disorder and under an external magnetic field using the Mori-Zwanzig memory matrix formalism. As a consequence, we obtain that although the Seebeck coefficient $S$ displays a relatively conventional linear dependence on the temperature of the system, the Nernst coefficient $\nu$ exhibits a clear signature of bad-metallicity within the so-called strange metal regime described by the model. This result agrees qualitatively with experimental transport data obtained for many cuprate superconductors around optimal doping.

arXiv comment7 pages, 1 figure

References in corpus (37)

• The Nernst effect in high-$T_c$ superconductors
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• A Theory of the Pseudogap State of the Cuprates
• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Pseudogap state from quantum criticality
• Holographic quantum matter
• Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Evolution of the Hall Coefficient and the Peculiar Electronic Structure of the Cuprate Superconductors
• The Nernst effect and the boundaries of the Fermi liquid picture
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Conductivity of a clean one-dimensional wire
• Non-Fermi liquids and the Wiedemann-Franz law
• Memory matrix theory of magnetotransport in strange metals
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Determining the Wiedemann-Franz ratio from the thermal Hall conductivity: Application to Cu and YBa_2Cu_3O_6.95
• Competing Orders in a Nearly Antiferromagnetic Metal
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Quasi-Local Strange Metal
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Hyperscaling at the spin density wave quantum critical point in two dimensional metals
• Charge orders, magnetism and pairings in the cuprate superconductors
• Emergence of a control parameter for the antiferromagnetic quantum critical metal
• Spin density wave order, topological order, and Fermi surface reconstruction
• Evidence of a short-range incommensurate $d$-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots
• Coexistence of ${\Theta }_{II}$-loop-current order with checkerboard d-wave CDW/PDW order in a hot-spot model for cuprate superconductors
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Breakdown of Fermi liquid behavior near the hot spots in a two-dimensional model: A two-loop renormalization group analysis
• Influence of the pseudogap on the Nernst coefficient of Y0.9Ca0.1Ba2Cu3Oy
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a $U(1)$ gauge field
• Interference of quantum critical excitations and soft diffusive modes in a disordered antiferromagnetic metal

Cited by in corpus (6)

• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Incoherent transport in a model for the strange metal phase: Memory-matrix formalism
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study