# Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point

@article{Lederer2016SuperconductivityAN, title={Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point}, author={Samuel Lederer and Yoni Schattner and Erez Berg and Steven A. Kivelson}, journal={Proceedings of the National Academy of Sciences}, year={2016}, volume={114}, pages={4905 - 4910} }

Significance It has been conjectured that many properties of highly correlated materials, including high-temperature superconductivity, may arise from proximity to a metallic quantum critical point. However, the nature of quantum critical phenomena in metals is incompletely understood. Using numerically exact quantum Monte Carlo methods, we simulated a model that can be tuned through a metallic quantum critical point and observed behaviors that are strikingly reminiscent of experiments. Among…

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## References

SHOWING 1-10 OF 67 REFERENCES

### A controlled expansion for certain non-Fermi liquid metals

- Physics
- 2010

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts…

### Cooper pairing in non-Fermi liquids

- Physics
- 2015

States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of…

### Superconductivity and nematic fluctuations in a model of doped FeSe monolayers: Determinant quantum Monte Carlo study

- PhysicsPhysical Review B
- 2016

In contrast to bulk FeSe, which exhibits nematic order and low temperature superconductivity, atomic layers of FeSe reverse the situation, having high temperature superconductivity appearing…

### Lattice Effects on Nematic Quantum Criticality in Metals.

- PhysicsPhysical review letters
- 2017

It is shown that including this coupling leads to entirely different conclusions because the critical fluctuations are mostly cut off by the noncritical lattice shear modes, and these predictions are relevant for the iron-based superconductors.

### Nonperturbative emergence of non-Fermi-liquid behavior in d=2 quantum critical metals

- Physics
- 2016

Landau theory of Fermi liquids is the foundational concept behind our understanding of conventional metals. Its basic postulate is that the low-energy physics can be described by weakly interacting…

### Nature of the effective interaction in electron-doped cuprate superconductors: A sign-problem-free quantum Monte Carlo study

- Physics
- 2017

Superconductivity is an emergent phenomena in the sense that the energy scale associated with Cooper pairing is generically much lower than the typical kinetic energy of electrons. Addressing the…

### Ising nematic quantum critical point in a metal: a Monte Carlo study

- Physics
- 2015

The Ising nematic quantum critical point (QCP) associated with the zero temperature transition from a symmetric to a nematic {\it metal} is an exemplar of metallic quantum criticality. We have…

### Transport near the Ising-nematic quantum critical point of metals in two dimensions

- Physics
- 2014

We consider two-dimensional metals near a Pomeranchuk instability which breaks ${90}^{\ensuremath{\circ}}$ lattice rotation symmetry. Such metals realize strongly coupled non-Fermi liquids with…

### Quantum theory of a nematic Fermi fluid

- Physics
- 2001

We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude…

### Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors

- PhysicsScience
- 2016

Discerning the nematic connection The phase diagram of any given family of iron-based superconductors is complicated: Superconductivity competes with antiferromagnetism, with a structural transition…