Quantum Critical Response at the Onset of Spin Density Wave Order in Two-dimensional Metals

  title={Quantum Critical Response at the Onset of Spin Density Wave Order in Two-dimensional Metals},
  author={Sean A. Hartnoll and Diego M. Hofman and Max A. Metlitski and Subir Sachdev},
  journal={Physical Review B},
We study the frequency dependence of the electron self energy and the optical conductivity in a recently developed eld theory of the spin density wave quantum phase transition in twodimensional metals. We focus on the interplay between the Fermi surface ‘hot spots’ and the 
Quantum critical properties of a metallic spin density wave transition
We report on numerically exact determinantal quantum Monte Carlo simulations of the onset of spin-density wave (SDW) order in itinerant electron systems captured by a sign-problem-freeExpand
DC resistivity at the onset of spin density wave order in two-dimensional metals
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. WeExpand
Extended quantum criticality of low-dimensional superconductors near a spin-density-wave instability
We use the renormalization group method to study the normal state of quasi-one-dimensional superconductors nearby a spin-density-wave instability. On the basis of one-loop scattering amplitudes forExpand
Quantum Monte Carlo studies of a metallic spin-density wave transition
Plenty experimental evidence indicates that quantum critical phenomena give rise to much of the rich physics observed in strongly correlated itinerant electron systems such as the high temperatureExpand
Quantum electron star.
A physical interpretation of the result is that, in the probe limit studied here, the Landau quasiparticles survive this coupling to a CFT. Expand
Scaling theory of the cuprate strange metals
We show that the anomalous temperature scaling of five distinct transport quantities in the strange metal regime of the cuprate superconductors can be reproduced with only two nontrivial criticalExpand
Critical quasiparticles in single-impurity and lattice Kondo models
Quantum criticality in systems of local moments interacting with itinerant electrons has become an important and diverse field of research. Here we review recent results which concern (a) quantumExpand
Breakdown of Fermi Liquid Behavior at the (π,π)=2k\(_F\) Spin-Density Wave Quantum-Critical Point: the Case of Electron-Doped Cuprates
Many correlated materials display a quantum critical point between a paramagnetic and a SDW state. The SDW wave vector connects points (hot spots) on opposite sides of the Fermi surface. The FermiExpand
Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
Abstract We perform the calculation of the dc resistivity as a function of temperature of the “strange-metal” state that emerges in the vicinity of a spin-density-wave phase transition in theExpand
Hyperscaling at the spin density wave quantum critical point in two-dimensional metals
The hyperscaling property implies that spatially isotropic critical quantum states in $d$ spatial dimensions have a specific heat which scales with temperature as $T^{d/z}$, and an opticalExpand


Nodal quasiparticles and the onset of spin-density-wave order in cuprate superconductors.
It is demonstrated that the fermion spectral functions are primarily damped by the coupling to fluctuations of a composite field with Ising nematic order. Expand
Instabilities near the onset of spin density wave order in metals
We discuss the low energy theory of two-dimensional metals near the onset of spin density wave order. It is well known that such a metal has a superconducting instability induced by the formation ofExpand
Quantum Phase Transitions of Metals in Two Spatial Dimensions: II. Spin density Wave Order
We present a field-theoretic renormalization group analysis of Abanov and Chubukov’s model of the spin density wave transition in two dimensional metals. We identify the independent field scale andExpand
Non-Fermi liquid fixed point in 2 + 1 dimensions
Abstract We construct models of excitations about a Fermi surface that display calculable deviations from Fermi liquid behavior in the low-energy limit. They arise as a consequence of coupling to aExpand
Low-energy dynamics of the spinon-gauge system
The effective field theory describing the normal phase of the high-Tc cuprates is evidently not the usual Fermi liquid theory. It has been proposed that it must include a dynamically generated gaugeExpand
Soft fermi surfaces and breakdown of Fermi-liquid behavior.
It is shown that critical Fermi surface fluctuations near a d-wave Pomeranchuk instability in two dimensions lead to large anisotropic decay rates for single-particle excitations, which destroy FermI-liquid behavior over the whole surface except at the Brillouin zone diagonal. Expand
Fermi-surface reconstruction and the origin of high-temperature superconductivity
After twenty years of effort, definitive quantum oscillations that could be used to map the Fermi surface were finally observed in a high-temperature cuprate superconductor in 2007. This andExpand
Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis
We present the full analysis of the normal state properties of the spin-fermion model near the antiferromagnetic instability in two dimensions. The model describes low-energy fermions interactingExpand
Breakdown of Landau theory in overdoped cuprates near the onset of superconductivity.
This work uses the functional renormalization group to analyze the temperature dependence of the quasiparticle scattering rates in the two-dimensional Hubbard model below half-filling and finds a strongly angle-dependent term linearly dependent on temperature which derives from an increasing scattering vertex as the energy scale is lowered. Expand
Interplay of Disorder and Spin Fluctuations in the Resistivity near a Quantum Critical Point
The resistivity in metals near an antiferromagnetic quantum critical point (QCP) is strongly affected by small amounts of disorder. In a quasi-classical treatment, we show that an interplay ofExpand