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

@article{Hartnoll2011QuantumCR, 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}, year={2011}, volume={84}, pages={125115} }

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

#### Figures from this paper

#### 48 Citations

Quantum critical properties of a metallic spin density wave transition

- Physics
- 2016

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-free… Expand

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

- Physics
- 2014

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… Expand

Extended quantum criticality of low-dimensional superconductors near a spin-density-wave instability

- Physics
- 2012

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 for… Expand

Quantum Monte Carlo studies of a metallic spin-density wave transition

- Physics
- 2017

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 temperature… Expand

Quantum electron star.

- Physics, Medicine
- Physical review letters
- 2012

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

- Physics
- 2015

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 critical… Expand

Critical quasiparticles in single-impurity and lattice Kondo models

- Physics
- 2015

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) quantum… Expand

Breakdown of Fermi Liquid Behavior at the (π,π)=2k\(_F\) Spin-Density Wave Quantum-Critical Point: the Case of Electron-Doped Cuprates

- Physics
- 2012

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 Fermi… Expand

Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator

- Physics
- 2017

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 the… Expand

Hyperscaling at the spin density wave quantum critical point in two-dimensional metals

- Physics
- 2015

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 optical… Expand

#### References

SHOWING 1-10 OF 62 REFERENCES

Nodal quasiparticles and the onset of spin-density-wave order in cuprate superconductors.

- Physics, Medicine
- Physical review letters
- 2008

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

- Physics
- 2010

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 of… Expand

Quantum Phase Transitions of Metals in Two Spatial Dimensions: II. Spin density Wave Order

- Physics
- 2010

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 and… Expand

Non-Fermi liquid fixed point in 2 + 1 dimensions

- Physics
- 1994

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 a… Expand

Low-energy dynamics of the spinon-gauge system

- Physics
- 1994

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 gauge… Expand

Soft fermi surfaces and breakdown of Fermi-liquid behavior.

- Physics, Medicine
- Physical review letters
- 2003

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

- Physics
- 2010

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 and… Expand

Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis

- Physics
- 2001

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 interacting… Expand

Breakdown of Landau theory in overdoped cuprates near the onset of superconductivity.

- Physics, Medicine
- Physical review letters
- 2008

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

- Physics
- 1999

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 of… Expand