DC resistivity at the onset of spin density wave order in two-dimensional metals

Abstract

The theory for the onset of spin density wave order in a metal in two dimensions flows to strong coupling, with strong interactions not only at the `hot spots', but on the entire Fermi surface. We advocate the computation of DC transport in a regime where there is rapid relaxation to local equilibrium around the Fermi surface by processes which conserve total momentum. The DC resistivity is then controlled by weaker perturbations which do not conserve momentum. We consider variations in the local position of the quantum critical point, induced by long-wavelength disorder, and find a contribution to the resistivity which is linear in temperature (up to logarithmic corrections) at low temperature. Scattering of fermions between hot spots, by short-wavelength disorder, leads to a residual resistivity and a correction which is linear in temperature.

arXiv comment25 pages, 5 figures, published version

References in corpus (46)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• 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
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• Quantum Criticality
• Scattering and Pairing in Cuprate Superconductors
• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Non-zero temperature transport near quantum critical points
• Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point
• Universal Resistivity from Holographic Massive Gravity
• Charge transport in holography with momentum dissipation
• Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study
• Holographic duality and the resistivity of strange metals
• Momentum relaxation in holographic massive gravity
• Locally critical umklapp scattering and holography
• Holographic Lattices Give the Graviton a Mass
• Novel metals and insulators from holography
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Superconductivity and spin-density-waves in multi-band metals
• Impure AdS/CFT
• Conductivity of a clean one-dimensional wire
• Momentum dependence and nodes of the superconducting gap in iron-pnictides
• Non-Fermi liquids and the Wiedemann-Franz law
• Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals
• Non-Fermi liquid behavior of large N_B quantum critical metals
• Resistivity of a non-Galilean--invariant Fermi Liquid near Pomeranchuk Quantum Criticality
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Spin Fluctuation Dynamics and Multiband Superconductivity in Iron Pnictides
• Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder
• Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System
• Large violation of Wiedemann Franz law in Luttinger liquids
• Strong coupling theory of heavy fermion criticality
• Losing Forward Momentum Holographically
• Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory
• Lower bounds for the conductivities of correlated quantum systems
• Resistivity of non-Galilean-invariant Fermi- and non-Fermi liquids
• Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals
• Nodal quasiparticles and the onset of spin density wave order in the cuprates
• Charge and spin density wave ordering transitions in strongly correlated metals

Cited by in corpus (66)

• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Holographic quantum matter
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Memory matrix theory of magnetotransport in strange metals
• Absence of disorder-driven metal-insulator transitions in simple holographic models
• Large $N$ theory of critical Fermi surfaces
• Incoherent transport in clean quantum critical metals
• Scaling theory of the cuprate strange metals
• Bad Metals from Fluctuating Density Waves
• Conductivity of a strange metal: from holography to memory functions
• Hydrodynamic transport in strongly coupled disordered quantum field theories
• Optical response of correlated electron systems
• Hyperscaling violation at the Ising-nematic quantum critical point in two dimensional metals
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Slow relaxation and diffusion in holographic quantum critical phases
• Hyperscaling at the spin density wave quantum critical point in two dimensional metals
• Higgs criticality in a two-dimensional metal
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Generalized Drude Scattering rate from the memory function formalism: an independent verification of the Sharapov-Carbotte result
• Resistivity bound for hydrodynamic bad metals
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
• Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
• Linear in temperature resistivity in the limit of zero temperature from the time reparameterization soft mode
• 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
• Holographic incoherent transport in Einstein-Maxwell-dilaton Gravity
• Theory of shot noise in strange metals
• Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions
• Thermal conductivity at a disordered quantum critical point
• Moment Expansion to the Memory Function for Generalized Drude Scattering rate
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Noncommutativity between the low-energy limit and integer dimension limits in the $\mathbf{\epsilon }$-expansion: a case study of the antiferromagnetic quantum critical metal
• Theory of the Dynamical Thermal conductivity of Metals
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals
• Solvable Theory of a Strange Metal at the Breakdown of a Heavy Fermi Liquid
• Low-temperature T-linear resistivity in the strange metal phase of overdoped cuprate superconductors due to umklapp scattering from a spin excitation
• Fingerprints of quantum criticality in locally resolved transport
• Hot electron relaxation in metals within the Götze-Wölfle memory function formalism
• Memory Function Approach to Correlated Electron Transport: A Comprehensive Review
• Space of non-Fermi liquids
• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• 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
• Quenched disorder at antiferromagnetic quantum critical points in $2d$ metals
• Observation of non-Fermi liquid physics in a quantum critical metal via quantum loop topography
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
• Finite frequency Seebeck coefficient of metals: A memory function approach
• A comparative study of finite frequency scattering rate from Allen, Mitrović-Fiorucci, Shulga-Dolgov-Maksimov, Sharapov-Carbotte and Götze-Wölfle Memory Function formalisms
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study
• Fractionalized Fermi liquids and the cuprate phase diagram
• Conductivity bounds in probe brane models
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Thermal Diffusivity and Pole-Skipping in the Incoherent Semilocally Critical IR
• Normal charge densities in quantum critical superfluids
• Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points
• Correlation between the strength of low-temperature T-linear normal-state resistivity and $T_{\mathrm{c}}$ in overdoped electron-doped cuprate superconductors
• Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals
• Anomalous quasiparticle lifetime in geometric quantum critical metals
• Phonon Induced Energy Relaxation in Quantum Critical Metals